{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TLJ2EMSOPPZFVXJJ6W76EWTEGQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"aa8578512bc9d284e6754721356d16916922df36678d4023b152b7340a71c59d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-05-10T17:52:07Z","title_canon_sha256":"14195d88955b43480c5ba5f79ae232fe868aa680bf160299bd639b2c20b034f0"},"schema_version":"1.0","source":{"id":"2505.06717","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.06717","created_at":"2026-07-05T11:33:05Z"},{"alias_kind":"arxiv_version","alias_value":"2505.06717v2","created_at":"2026-07-05T11:33:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.06717","created_at":"2026-07-05T11:33:05Z"},{"alias_kind":"pith_short_12","alias_value":"TLJ2EMSOPPZF","created_at":"2026-07-05T11:33:05Z"},{"alias_kind":"pith_short_16","alias_value":"TLJ2EMSOPPZFVXJJ","created_at":"2026-07-05T11:33:05Z"},{"alias_kind":"pith_short_8","alias_value":"TLJ2EMSO","created_at":"2026-07-05T11:33:05Z"}],"graph_snapshots":[{"event_id":"sha256:78db694efc61c7c2b80062898cfc75428c1cc0bd2ccc3eee51efa852f581c784","target":"graph","created_at":"2026-07-05T11:33:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.06717/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the well-studied Stable Roommates problem, we seek a stable matching of agents into pairs, where no two agents prefer each other over their assigned partners. However, some instances of this problem are unsolvable, lacking any stable matching. A long-standing open question posed by Gusfield and Irving (1989) asks about the behavior of the probability function Pn, which measures the likelihood that a random instance with n agents is solvable.\n  This paper provides a comprehensive analysis of the landscape surrounding this question, combining structural, probabilistic, and experimental perspe","authors_text":"David Manlove, Frederik Glitzner","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-05-10T17:52:07Z","title":"Perspectives on Unsolvability in the Roommates Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.06717","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b9a4239144906dace1b4b809fd8dcb05bd9fdb62b23218d75303fbda767be88d","target":"record","created_at":"2026-07-05T11:33:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"aa8578512bc9d284e6754721356d16916922df36678d4023b152b7340a71c59d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-05-10T17:52:07Z","title_canon_sha256":"14195d88955b43480c5ba5f79ae232fe868aa680bf160299bd639b2c20b034f0"},"schema_version":"1.0","source":{"id":"2505.06717","kind":"arxiv","version":2}},"canonical_sha256":"9ad3a2324e7bf25add29f5bfe25a64343fefe6fa72b8d1b0dd7afab514a85333","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ad3a2324e7bf25add29f5bfe25a64343fefe6fa72b8d1b0dd7afab514a85333","first_computed_at":"2026-07-05T11:33:05.002137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:05.002137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iA2t1yrC9aw1Wz0Ua/iK4OcvfWy6pMect5NEe9xyBkT1vCiB5Zh9hzWun2xSPDankxWGRWfJh0S3epH164jxCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:05.002738Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.06717","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9a4239144906dace1b4b809fd8dcb05bd9fdb62b23218d75303fbda767be88d","sha256:78db694efc61c7c2b80062898cfc75428c1cc0bd2ccc3eee51efa852f581c784"],"state_sha256":"4cc4ca001584e2ae3d4b1c664644aece578cdfeda55b7e2babcf7e8588d9262f"}