{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:YXA6FFRYINU2HLJWI5OYYN4ADW","short_pith_number":"pith:YXA6FFRY","schema_version":"1.0","canonical_sha256":"c5c1e296384369a3ad36475d8c37801da72c9a834a01efde3c228372a7dbcb47","source":{"kind":"arxiv","id":"1211.4554","version":1},"attestation_state":"computed","paper":{"title":"Huneke-Wiegand Conjecture for Complete Intersection Numerical Semigroup Rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AC","authors_text":"Micah J. Leamer, Pedro A. Garcia-Sanchez","submitted_at":"2012-11-19T20:29:57Z","abstract_excerpt":"We give a positive answer to the Huneke-Wiegand Conjecture for monomial ideals over free numerical semigroup rings, and for two generated monomial ideals over complete intersection numerical semigroup rings."},"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":"1211.4554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-11-19T20:29:57Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"5cede3232154840acf32d1061433c41c3074ed18d27cb339080757f0f4c20420","abstract_canon_sha256":"f07d926c5ed0fc05fa88203f67640e5f04a74a26e42c7b75dbf28ab5203a72b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:26.547451Z","signature_b64":"mNZVRabAoWaG7bvX/a7GolSjmuuH1tl6v8ZoxWfFjDdVFnPUaWMc4naaccKMaHXF91locR0H9uyHFlcCny94BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5c1e296384369a3ad36475d8c37801da72c9a834a01efde3c228372a7dbcb47","last_reissued_at":"2026-05-18T03:40:26.546940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:26.546940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Huneke-Wiegand Conjecture for Complete Intersection Numerical Semigroup Rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AC","authors_text":"Micah J. Leamer, Pedro A. Garcia-Sanchez","submitted_at":"2012-11-19T20:29:57Z","abstract_excerpt":"We give a positive answer to the Huneke-Wiegand Conjecture for monomial ideals over free numerical semigroup rings, and for two generated monomial ideals over complete intersection numerical semigroup rings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4554","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":"1211.4554","created_at":"2026-05-18T03:40:26.547004+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.4554v1","created_at":"2026-05-18T03:40:26.547004+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4554","created_at":"2026-05-18T03:40:26.547004+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXA6FFRYINU2","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXA6FFRYINU2HLJW","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXA6FFRY","created_at":"2026-05-18T12:27:30.460161+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/YXA6FFRYINU2HLJWI5OYYN4ADW","json":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW.json","graph_json":"https://pith.science/api/pith-number/YXA6FFRYINU2HLJWI5OYYN4ADW/graph.json","events_json":"https://pith.science/api/pith-number/YXA6FFRYINU2HLJWI5OYYN4ADW/events.json","paper":"https://pith.science/paper/YXA6FFRY"},"agent_actions":{"view_html":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW","download_json":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW.json","view_paper":"https://pith.science/paper/YXA6FFRY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.4554&json=true","fetch_graph":"https://pith.science/api/pith-number/YXA6FFRYINU2HLJWI5OYYN4ADW/graph.json","fetch_events":"https://pith.science/api/pith-number/YXA6FFRYINU2HLJWI5OYYN4ADW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW/action/storage_attestation","attest_author":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW/action/author_attestation","sign_citation":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW/action/citation_signature","submit_replication":"https://pith.science/pith/YXA6FFRYINU2HLJWI5OYYN4ADW/action/replication_record"}},"created_at":"2026-05-18T03:40:26.547004+00:00","updated_at":"2026-05-18T03:40:26.547004+00:00"}