{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AN3JCCHPEZ3TXEXT6H4HOOZEDE","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":"ee8fe6fade6e81d829fba020efc211d6bee28f94be84ebbd66a437a587d80bd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-05-14T11:44:47Z","title_canon_sha256":"3de259bced6794df402ab330aefbd740d4632f33c73b755b44cb519d8a13d9d4"},"schema_version":"1.0","source":{"id":"1905.05531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.05531","created_at":"2026-05-17T23:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"1905.05531v1","created_at":"2026-05-17T23:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.05531","created_at":"2026-05-17T23:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"AN3JCCHPEZ3T","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AN3JCCHPEZ3TXEXT","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AN3JCCHP","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:fc37b2292ebdf102c0dd51cd8170ae966f5127cbacf135cdc2286ad92da4806a","target":"graph","created_at":"2026-05-17T23:46:16Z","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"},"paper":{"abstract_excerpt":"A structure ${\\mathbb Y}$ of a relational language $L$ is called almost chainable iff there are a finite set $F \\subset Y$ and a linear order $<$ on the set $Y\\setminus F$ such that for each partial automorphism $\\varphi$ (i.e., local automorphism, in Fra\\\"{\\i}ss\\'{e}'s terminology) of the linear order $\\langle Y\\setminus F, < \\rangle$ the mapping ${\\mathrm{id}} _F \\cup \\varphi$ is a partial automorphism of ${\\mathbb Y}$. By a theorem of Fra\\\"{\\i}ss\\'{e}, if $|L|<\\omega$, then ${\\mathbb Y}$ is almost chainable iff the profile of ${\\mathbb Y}$ is bounded; namely, iff there is a positive integer","authors_text":"Milo\\v{s} S. Kurili\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-05-14T11:44:47Z","title":"Vaught's Conjecture for Almost Chainable Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.05531","kind":"arxiv","version":1},"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":"sha256:76fa1ce96489ce13016f2e57e69664449e2e246798f9d4edc654d64e1b665779","target":"record","created_at":"2026-05-17T23:46:16Z","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":"ee8fe6fade6e81d829fba020efc211d6bee28f94be84ebbd66a437a587d80bd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-05-14T11:44:47Z","title_canon_sha256":"3de259bced6794df402ab330aefbd740d4632f33c73b755b44cb519d8a13d9d4"},"schema_version":"1.0","source":{"id":"1905.05531","kind":"arxiv","version":1}},"canonical_sha256":"03769108ef26773b92f3f1f8773b24190f8183d3cf2b41b691fea7e19befefe0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03769108ef26773b92f3f1f8773b24190f8183d3cf2b41b691fea7e19befefe0","first_computed_at":"2026-05-17T23:46:16.223952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:16.223952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wI2j2Q6QjW0DIOy4YJq4xyaonwEC4s/4XkX2kKUILHWBSaZxExImdUY+ASd6xyXkEITq8ygWjylooTsSqjq1Dg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:16.224867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.05531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76fa1ce96489ce13016f2e57e69664449e2e246798f9d4edc654d64e1b665779","sha256:fc37b2292ebdf102c0dd51cd8170ae966f5127cbacf135cdc2286ad92da4806a"],"state_sha256":"66e0f9a263b23974a1ec3b33a7d834c99e68da8883e69e5f742d733ad6f760d3"}