{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:POUBVNU4LDMJ6VND5RMSETK5FB","short_pith_number":"pith:POUBVNU4","schema_version":"1.0","canonical_sha256":"7ba81ab69c58d89f55a3ec59224d5d285728281698ecfd5389d65d5a196f5c34","source":{"kind":"arxiv","id":"1007.3091","version":1},"attestation_state":"computed","paper":{"title":"The tautological ring of $M_{1,n}^{ct}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mehdi Tavakol","submitted_at":"2010-07-19T09:07:51Z","abstract_excerpt":"We describe the tautological ring of the moduli space of $n$-pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra."},"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":"1007.3091","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-07-19T09:07:51Z","cross_cats_sorted":[],"title_canon_sha256":"7f7545f61b01b678949ab399789de6e130418740dc84b47cb03538c9b7deec1b","abstract_canon_sha256":"6a75359e1793d75e56c0486f5a63db6c81f1fc49856d0cff3d9ee0ff38e9d438"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:05.026190Z","signature_b64":"BRFmJwO/G0NlzcAFnOUkPXp98MwZ2UeiSmyaPUtgSbUJU+9hJfJ88eJ+3TEEEnoN9JifUMtCoQPSbNkRPHNkAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ba81ab69c58d89f55a3ec59224d5d285728281698ecfd5389d65d5a196f5c34","last_reissued_at":"2026-05-18T00:45:05.025707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:05.025707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The tautological ring of $M_{1,n}^{ct}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mehdi Tavakol","submitted_at":"2010-07-19T09:07:51Z","abstract_excerpt":"We describe the tautological ring of the moduli space of $n$-pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3091","kind":"arxiv","version":1},"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":"1007.3091","created_at":"2026-05-18T00:45:05.025804+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3091v1","created_at":"2026-05-18T00:45:05.025804+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3091","created_at":"2026-05-18T00:45:05.025804+00:00"},{"alias_kind":"pith_short_12","alias_value":"POUBVNU4LDMJ","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"POUBVNU4LDMJ6VND","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"POUBVNU4","created_at":"2026-05-18T12:26:12.377268+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/POUBVNU4LDMJ6VND5RMSETK5FB","json":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB.json","graph_json":"https://pith.science/api/pith-number/POUBVNU4LDMJ6VND5RMSETK5FB/graph.json","events_json":"https://pith.science/api/pith-number/POUBVNU4LDMJ6VND5RMSETK5FB/events.json","paper":"https://pith.science/paper/POUBVNU4"},"agent_actions":{"view_html":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB","download_json":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB.json","view_paper":"https://pith.science/paper/POUBVNU4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3091&json=true","fetch_graph":"https://pith.science/api/pith-number/POUBVNU4LDMJ6VND5RMSETK5FB/graph.json","fetch_events":"https://pith.science/api/pith-number/POUBVNU4LDMJ6VND5RMSETK5FB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB/action/storage_attestation","attest_author":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB/action/author_attestation","sign_citation":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB/action/citation_signature","submit_replication":"https://pith.science/pith/POUBVNU4LDMJ6VND5RMSETK5FB/action/replication_record"}},"created_at":"2026-05-18T00:45:05.025804+00:00","updated_at":"2026-05-18T00:45:05.025804+00:00"}