{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:D7M4THPVTUG2LKZAMXJGQPLUS3","short_pith_number":"pith:D7M4THPV","schema_version":"1.0","canonical_sha256":"1fd9c99df59d0da5ab2065d2683d7496cb70869db657bc458ceed8d2e0f6b308","source":{"kind":"arxiv","id":"1004.0170","version":2},"attestation_state":"computed","paper":{"title":"On the h-vectors of Cohen-Macaulay Flag Complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AC","authors_text":"Alexandru Constantinescu, Matteo Varbaro","submitted_at":"2010-04-01T16:16:08Z","abstract_excerpt":"Starting from an unpublished conjecture of Kalai and from a conjecture of Eisenbud, Green and Harris, we study several problems relating h-vectors of Cohen-Macaulay, flag simplicial complexes and face vectors of simplicial complexes."},"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":"1004.0170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2010-04-01T16:16:08Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"4ab78e49718901f497b3653dbd485e90855b210d43ef36ca5af70ec1da4249ef","abstract_canon_sha256":"f7ae79b137c03dfa640176e662067819dbc3935b9070797d0fbc202af336d64e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:56.506923Z","signature_b64":"FjEXpVpcd6z881gghsjrQe+Z/EmlZSLak4z9kGCjhhcG65tM4I3+hDJbqyhEL0aE7D3yY/RQSGXW84EVFrCUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fd9c99df59d0da5ab2065d2683d7496cb70869db657bc458ceed8d2e0f6b308","last_reissued_at":"2026-05-18T04:12:56.506284Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:56.506284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the h-vectors of Cohen-Macaulay Flag Complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AC","authors_text":"Alexandru Constantinescu, Matteo Varbaro","submitted_at":"2010-04-01T16:16:08Z","abstract_excerpt":"Starting from an unpublished conjecture of Kalai and from a conjecture of Eisenbud, Green and Harris, we study several problems relating h-vectors of Cohen-Macaulay, flag simplicial complexes and face vectors of simplicial complexes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0170","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":"1004.0170","created_at":"2026-05-18T04:12:56.506381+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.0170v2","created_at":"2026-05-18T04:12:56.506381+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0170","created_at":"2026-05-18T04:12:56.506381+00:00"},{"alias_kind":"pith_short_12","alias_value":"D7M4THPVTUG2","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"D7M4THPVTUG2LKZA","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"D7M4THPV","created_at":"2026-05-18T12:26:06.534383+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/D7M4THPVTUG2LKZAMXJGQPLUS3","json":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3.json","graph_json":"https://pith.science/api/pith-number/D7M4THPVTUG2LKZAMXJGQPLUS3/graph.json","events_json":"https://pith.science/api/pith-number/D7M4THPVTUG2LKZAMXJGQPLUS3/events.json","paper":"https://pith.science/paper/D7M4THPV"},"agent_actions":{"view_html":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3","download_json":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3.json","view_paper":"https://pith.science/paper/D7M4THPV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.0170&json=true","fetch_graph":"https://pith.science/api/pith-number/D7M4THPVTUG2LKZAMXJGQPLUS3/graph.json","fetch_events":"https://pith.science/api/pith-number/D7M4THPVTUG2LKZAMXJGQPLUS3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3/action/storage_attestation","attest_author":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3/action/author_attestation","sign_citation":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3/action/citation_signature","submit_replication":"https://pith.science/pith/D7M4THPVTUG2LKZAMXJGQPLUS3/action/replication_record"}},"created_at":"2026-05-18T04:12:56.506381+00:00","updated_at":"2026-05-18T04:12:56.506381+00:00"}