{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:U4QFNCQTVQOTGKKFU4WAEPQOZZ","short_pith_number":"pith:U4QFNCQT","schema_version":"1.0","canonical_sha256":"a720568a13ac1d332945a72c023e0ece75bf472566f1113d1ff22fba2c44e543","source":{"kind":"arxiv","id":"1409.5846","version":2},"attestation_state":"computed","paper":{"title":"A Ramsey theorem for partial orders with linear extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Min Zhao, Slawomir Solecki","submitted_at":"2014-09-20T02:38:12Z","abstract_excerpt":"We prove a Ramsey theorem for finite sets equipped with a partial order and a fixed number of linear orders extending the partial order. This is a common generalization of two recent Ramsey theorems due to Soki\\'c. As a bonus, our proof gives new arguments for these two results."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.5846","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-20T02:38:12Z","cross_cats_sorted":[],"title_canon_sha256":"30717291dd63158476a1fcb0172526133ebf16232f991857bc0e3505345be007","abstract_canon_sha256":"b46cefb5b5f0a99d1ce3be79f6a9d91051a2cc64a159f16824a0500a61062bb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:05.248660Z","signature_b64":"fAOIwTjERUYdk+Ih3vkKS+ySgA4qZ77phFxd7vgUPZNDRm2Qyb7BiJcvb0OONK0bRBH7eHPXoOgeF3XFQU0rBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a720568a13ac1d332945a72c023e0ece75bf472566f1113d1ff22fba2c44e543","last_reissued_at":"2026-05-18T02:27:05.248270Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:05.248270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Ramsey theorem for partial orders with linear extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Min Zhao, Slawomir Solecki","submitted_at":"2014-09-20T02:38:12Z","abstract_excerpt":"We prove a Ramsey theorem for finite sets equipped with a partial order and a fixed number of linear orders extending the partial order. This is a common generalization of two recent Ramsey theorems due to Soki\\'c. As a bonus, our proof gives new arguments for these two results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5846","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.5846","created_at":"2026-05-18T02:27:05.248328+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.5846v2","created_at":"2026-05-18T02:27:05.248328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5846","created_at":"2026-05-18T02:27:05.248328+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4QFNCQTVQOT","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4QFNCQTVQOTGKKF","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4QFNCQT","created_at":"2026-05-18T12:28:52.271510+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ","json":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ.json","graph_json":"https://pith.science/api/pith-number/U4QFNCQTVQOTGKKFU4WAEPQOZZ/graph.json","events_json":"https://pith.science/api/pith-number/U4QFNCQTVQOTGKKFU4WAEPQOZZ/events.json","paper":"https://pith.science/paper/U4QFNCQT"},"agent_actions":{"view_html":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ","download_json":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ.json","view_paper":"https://pith.science/paper/U4QFNCQT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.5846&json=true","fetch_graph":"https://pith.science/api/pith-number/U4QFNCQTVQOTGKKFU4WAEPQOZZ/graph.json","fetch_events":"https://pith.science/api/pith-number/U4QFNCQTVQOTGKKFU4WAEPQOZZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ/action/storage_attestation","attest_author":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ/action/author_attestation","sign_citation":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ/action/citation_signature","submit_replication":"https://pith.science/pith/U4QFNCQTVQOTGKKFU4WAEPQOZZ/action/replication_record"}},"created_at":"2026-05-18T02:27:05.248328+00:00","updated_at":"2026-05-18T02:27:05.248328+00:00"}