{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:KHOHF4EE5ENEXX2P2KUARPMPUV","short_pith_number":"pith:KHOHF4EE","schema_version":"1.0","canonical_sha256":"51dc72f084e91a4bdf4fd2a808bd8fa544d48d071caa2e67b6cfe4b59e35bd96","source":{"kind":"arxiv","id":"2112.13275","version":2},"attestation_state":"computed","paper":{"title":"A note on the induced Ramsey theorem for spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Bryce Frederickson, Marcelo Sales, Vojtech R\\\"odl","submitted_at":"2021-12-25T19:47:54Z","abstract_excerpt":"The aim of this note is to give a simplified proof of the induced version of the Ramsey theorem for vector spaces first proved by H. J. Pr\\\"{o}mel."},"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":"2112.13275","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2021-12-25T19:47:54Z","cross_cats_sorted":[],"title_canon_sha256":"f80e4a7a1880f42fe7d09a540cc921583ae611eb7aa564fdb41e58df229e1124","abstract_canon_sha256":"d24218a2853d3ec407de39795975169f529c4695b1a50900fc6fd40e09be3c9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:34:00.241275Z","signature_b64":"yRPnPst0yjncncbCb5HAAHqDfztyvmp+eVXmsEXrMbkkR30++Mdg9lGMbFmnC11LSH7UsdAlEUMJhNGtRvWkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51dc72f084e91a4bdf4fd2a808bd8fa544d48d071caa2e67b6cfe4b59e35bd96","last_reissued_at":"2026-07-05T08:34:00.240824Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:34:00.240824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on the induced Ramsey theorem for spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Bryce Frederickson, Marcelo Sales, Vojtech R\\\"odl","submitted_at":"2021-12-25T19:47:54Z","abstract_excerpt":"The aim of this note is to give a simplified proof of the induced version of the Ramsey theorem for vector spaces first proved by H. J. Pr\\\"{o}mel."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.13275","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.13275/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2112.13275","created_at":"2026-07-05T08:34:00.240879+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.13275v2","created_at":"2026-07-05T08:34:00.240879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.13275","created_at":"2026-07-05T08:34:00.240879+00:00"},{"alias_kind":"pith_short_12","alias_value":"KHOHF4EE5ENE","created_at":"2026-07-05T08:34:00.240879+00:00"},{"alias_kind":"pith_short_16","alias_value":"KHOHF4EE5ENEXX2P","created_at":"2026-07-05T08:34:00.240879+00:00"},{"alias_kind":"pith_short_8","alias_value":"KHOHF4EE","created_at":"2026-07-05T08:34:00.240879+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/KHOHF4EE5ENEXX2P2KUARPMPUV","json":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV.json","graph_json":"https://pith.science/api/pith-number/KHOHF4EE5ENEXX2P2KUARPMPUV/graph.json","events_json":"https://pith.science/api/pith-number/KHOHF4EE5ENEXX2P2KUARPMPUV/events.json","paper":"https://pith.science/paper/KHOHF4EE"},"agent_actions":{"view_html":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV","download_json":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV.json","view_paper":"https://pith.science/paper/KHOHF4EE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.13275&json=true","fetch_graph":"https://pith.science/api/pith-number/KHOHF4EE5ENEXX2P2KUARPMPUV/graph.json","fetch_events":"https://pith.science/api/pith-number/KHOHF4EE5ENEXX2P2KUARPMPUV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV/action/storage_attestation","attest_author":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV/action/author_attestation","sign_citation":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV/action/citation_signature","submit_replication":"https://pith.science/pith/KHOHF4EE5ENEXX2P2KUARPMPUV/action/replication_record"}},"created_at":"2026-07-05T08:34:00.240879+00:00","updated_at":"2026-07-05T08:34:00.240879+00:00"}