{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GINUZ6QV75CQMCYCB6BOHFFXBZ","short_pith_number":"pith:GINUZ6QV","schema_version":"1.0","canonical_sha256":"321b4cfa15ff45060b020f82e394b70e7230ee4d5b45ea52d48695592bfb0bd3","source":{"kind":"arxiv","id":"1109.5331","version":1},"attestation_state":"computed","paper":{"title":"An Algebraic Proof for the Identities for Degree of Syzygies in Numerical Semigroup","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Ivan Martino, Neeraj Kumar","submitted_at":"2011-09-25T07:13:16Z","abstract_excerpt":"In a recent paper by L. Fel two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these 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":"1109.5331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-09-25T07:13:16Z","cross_cats_sorted":[],"title_canon_sha256":"f942d268ba80c7607cbdf3f94431f50e8b361d094148066445d40ff4ee016c05","abstract_canon_sha256":"bbaeda7928d4305a38665c040b965976e34bfc7b101b3cff1c24dd0635b5b8cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:54.730759Z","signature_b64":"jECk4Fod+che3nYKSDgPyMogshK1/+hrnwdv3HDxRWk+FVW9twLjLuGY+iefWHjPlhgnCXhPTVS8q31bB+SJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"321b4cfa15ff45060b020f82e394b70e7230ee4d5b45ea52d48695592bfb0bd3","last_reissued_at":"2026-05-18T03:53:54.730337Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:54.730337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Algebraic Proof for the Identities for Degree of Syzygies in Numerical Semigroup","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Ivan Martino, Neeraj Kumar","submitted_at":"2011-09-25T07:13:16Z","abstract_excerpt":"In a recent paper by L. Fel two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5331","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":"1109.5331","created_at":"2026-05-18T03:53:54.730394+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.5331v1","created_at":"2026-05-18T03:53:54.730394+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5331","created_at":"2026-05-18T03:53:54.730394+00:00"},{"alias_kind":"pith_short_12","alias_value":"GINUZ6QV75CQ","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"GINUZ6QV75CQMCYC","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"GINUZ6QV","created_at":"2026-05-18T12:26:30.835961+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/GINUZ6QV75CQMCYCB6BOHFFXBZ","json":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ.json","graph_json":"https://pith.science/api/pith-number/GINUZ6QV75CQMCYCB6BOHFFXBZ/graph.json","events_json":"https://pith.science/api/pith-number/GINUZ6QV75CQMCYCB6BOHFFXBZ/events.json","paper":"https://pith.science/paper/GINUZ6QV"},"agent_actions":{"view_html":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ","download_json":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ.json","view_paper":"https://pith.science/paper/GINUZ6QV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.5331&json=true","fetch_graph":"https://pith.science/api/pith-number/GINUZ6QV75CQMCYCB6BOHFFXBZ/graph.json","fetch_events":"https://pith.science/api/pith-number/GINUZ6QV75CQMCYCB6BOHFFXBZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ/action/storage_attestation","attest_author":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ/action/author_attestation","sign_citation":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ/action/citation_signature","submit_replication":"https://pith.science/pith/GINUZ6QV75CQMCYCB6BOHFFXBZ/action/replication_record"}},"created_at":"2026-05-18T03:53:54.730394+00:00","updated_at":"2026-05-18T03:53:54.730394+00:00"}