Work / gls:work:5c1e8a34-6d72-4f19-8a0b-2e7c94d1f635

SISO Unsolveable Mathematics

An open-problem attack programme covering the UNSOLVEABLE constitution, the ten-agent Erdos campaign master prompt, the Erdos 41 flagship dossier, and agent 09's Erdos 23 workspace.

Type
research_question
Maturity
active
Section
Unassigned

Research contract · GQ-011

Question

Which Erdos problems can a coordinated agent campaign move from open to a defensible partial result, and what exactly is the standing of each claim produced?

Steward

SISO Open Source Foundation

Lifecycle status

active

Research state

partial

Freshness

Not declared

Next useful work

Define the minimum public-safe question program before scheduling research.

Selected release

No selected release

Public answer release

Not released — the selected Release has no public answer artifact.

Evidence mode

corpus

Success criteria

A claim is promoted only with a kernel-verified proof or an explicit counterexample · Every retained claim names the exact assumption it is conditional on

Falsifiers

The frozen upstream certificate the Erdos 23 corollary depends on is retracted · The integral step to beta(G) <= N^2/25 is shown to fail in the odd-K5 obstruction class

Evidence gaps

No kernel-verified full proof exists for any campaign claim · Novelty against the existing literature is not independently verified

Source scopes

Erdos problem literature cited in the campaign dossiers · agent campaign workspaces under docs/campaigns/erdos-10-2026-08-07

Answer shape

Per problem, a stated verdict with its conditionality, the orders or cases closed, the first case not closed, and the strongest unresolved objection.

Refresh policy

Re-examined when a campaign agent records a new verdict, or when an upstream certificate the results are conditional on is revised or retracted.

Publication boundary

public evidence

Read the God Questions infrastructure constitution →

Research sources

Source & upstream links

Relationships

related_to

The Great Library of SISOSplit out of the Great Library on 2026-08-07. The branch agent/erdos-09-23 was proven by git merge-base --is-ancestor to contain all eleven other Erdos campaign refs, which were then deleted as redundant.

Evidence & receipts

source_review · 2026-08-07

Agent 09 recorded a NEW CANDIDATE PARTIAL RESULT and explicitly not a solution: conditional on a frozen exact upstream certificate, the exact floor target holds for 147 orders through 200 including every order through 42, with 43 the first order not closed. The record states there is no kernel-verified full proof, no counterexample, and no novelty-verified resolution, and names the unresolved objection as the integral step to beta(G) <= N^2/25 in the odd-K5 obstruction class.docs/campaigns/erdos-10-2026-08-07/agents/09-23/verdict.md

integration_check · 2026-08-07

Ancestry was proven for all eleven non-target Erdos refs against agent/erdos-09-23 immediately before deletion, with zero failures. Eight of the eleven pointed at the identical commit f69b670, an instance of the branch-reservation versus durable-pushed-work distinction the programme had already recorded.git merge-base --is-ancestor

Provenance

Registry source
registry/works/siso-unsolveable-mathematics.json
Origin
siso
License / redistribution
NOASSERTION (pending)