{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:R3PCZVLQRHPNT7JKCQQVTXNAP2","short_pith_number":"pith:R3PCZVLQ","schema_version":"1.0","canonical_sha256":"8ede2cd57089ded9fd2a142159dda07eaa2c7dd311cdae884bf25a14b170f338","source":{"kind":"arxiv","id":"1507.02363","version":2},"attestation_state":"computed","paper":{"title":"Some results on local cohomology of polynomial and formal power series rings: the one dimensional case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Pham Hung Quy","submitted_at":"2015-07-09T03:47:12Z","abstract_excerpt":"In this paper, we prove several results on the finiteness of local cohomology of polynomial and formal power series rings. In particular, we give a partial affirmative answer for a question of L. N\\'{u}\\~{n}ez-Betancourt in [J. Algebra 399 (2014), 770--781]."},"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":"1507.02363","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-07-09T03:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"5246fdb7564203543af965b36dc84a8e1a51791ba167f0104d21f93ba4caf713","abstract_canon_sha256":"017981164673b7ac6433a37125e88afa2ca42384e96cc2d943fb1af8d506edb4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:57.962126Z","signature_b64":"riUv787V2K/05wnSv56ae4GlhwUsZqfovJmTh5+YiPLJr3FdCZgx7yREy9fhTogkSPSCJu6sKNCWQdR0d4zVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ede2cd57089ded9fd2a142159dda07eaa2c7dd311cdae884bf25a14b170f338","last_reissued_at":"2026-05-18T01:09:57.961563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:57.961563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some results on local cohomology of polynomial and formal power series rings: the one dimensional case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Pham Hung Quy","submitted_at":"2015-07-09T03:47:12Z","abstract_excerpt":"In this paper, we prove several results on the finiteness of local cohomology of polynomial and formal power series rings. In particular, we give a partial affirmative answer for a question of L. N\\'{u}\\~{n}ez-Betancourt in [J. Algebra 399 (2014), 770--781]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02363","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":"1507.02363","created_at":"2026-05-18T01:09:57.961643+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.02363v2","created_at":"2026-05-18T01:09:57.961643+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02363","created_at":"2026-05-18T01:09:57.961643+00:00"},{"alias_kind":"pith_short_12","alias_value":"R3PCZVLQRHPN","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"R3PCZVLQRHPNT7JK","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"R3PCZVLQ","created_at":"2026-05-18T12:29:39.896362+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/R3PCZVLQRHPNT7JKCQQVTXNAP2","json":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2.json","graph_json":"https://pith.science/api/pith-number/R3PCZVLQRHPNT7JKCQQVTXNAP2/graph.json","events_json":"https://pith.science/api/pith-number/R3PCZVLQRHPNT7JKCQQVTXNAP2/events.json","paper":"https://pith.science/paper/R3PCZVLQ"},"agent_actions":{"view_html":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2","download_json":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2.json","view_paper":"https://pith.science/paper/R3PCZVLQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.02363&json=true","fetch_graph":"https://pith.science/api/pith-number/R3PCZVLQRHPNT7JKCQQVTXNAP2/graph.json","fetch_events":"https://pith.science/api/pith-number/R3PCZVLQRHPNT7JKCQQVTXNAP2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2/action/storage_attestation","attest_author":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2/action/author_attestation","sign_citation":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2/action/citation_signature","submit_replication":"https://pith.science/pith/R3PCZVLQRHPNT7JKCQQVTXNAP2/action/replication_record"}},"created_at":"2026-05-18T01:09:57.961643+00:00","updated_at":"2026-05-18T01:09:57.961643+00:00"}