{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7ILHQCVWI26WD2445Z2KMHCNED","short_pith_number":"pith:7ILHQCVW","schema_version":"1.0","canonical_sha256":"fa16780ab646bd61eb9cee74a61c4d20f1d9cb46d42f02d1d3076156b7cabe88","source":{"kind":"arxiv","id":"1408.7098","version":1},"attestation_state":"computed","paper":{"title":"Introduction to uniformity in commutative algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Claudiu Raicu, Craig Huneke","submitted_at":"2014-08-29T18:38:53Z","abstract_excerpt":"These notes are based on three lectures given by the first author as part of an introductory workshop at MSRI for the program in Commutative Algebra, 2012-13. The notes follow the talks, but there are extra comments and explanations, as well as a new section on the uniform Artin-Rees theorem. The notes deal with the theme of uniform bounds, both absolute and effective, as well as uniform annihilation of cohomology"},"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":"1408.7098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-08-29T18:38:53Z","cross_cats_sorted":[],"title_canon_sha256":"cf0360aa0e65c0a4ae9da15a75bfd7d41f8d051b079b272fdbb73d753684460e","abstract_canon_sha256":"8fbeb645c4b82c6a3de2108f1559c5b9cd48d68f44db1293c6e2a084075df45b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:59.654185Z","signature_b64":"pqkZ2qWUak/tTKVZloTefxyXghfwoIT7GnEdtKqKhmGmEthSixS5oQ19tuE0gXh6tHH8AWSVMDyhyQ6PR+TsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa16780ab646bd61eb9cee74a61c4d20f1d9cb46d42f02d1d3076156b7cabe88","last_reissued_at":"2026-05-18T02:43:59.653758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:59.653758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Introduction to uniformity in commutative algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Claudiu Raicu, Craig Huneke","submitted_at":"2014-08-29T18:38:53Z","abstract_excerpt":"These notes are based on three lectures given by the first author as part of an introductory workshop at MSRI for the program in Commutative Algebra, 2012-13. The notes follow the talks, but there are extra comments and explanations, as well as a new section on the uniform Artin-Rees theorem. The notes deal with the theme of uniform bounds, both absolute and effective, as well as uniform annihilation of cohomology"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.7098","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":"1408.7098","created_at":"2026-05-18T02:43:59.653829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.7098v1","created_at":"2026-05-18T02:43:59.653829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.7098","created_at":"2026-05-18T02:43:59.653829+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ILHQCVWI26W","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ILHQCVWI26WD244","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ILHQCVW","created_at":"2026-05-18T12:28:19.803747+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/7ILHQCVWI26WD2445Z2KMHCNED","json":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED.json","graph_json":"https://pith.science/api/pith-number/7ILHQCVWI26WD2445Z2KMHCNED/graph.json","events_json":"https://pith.science/api/pith-number/7ILHQCVWI26WD2445Z2KMHCNED/events.json","paper":"https://pith.science/paper/7ILHQCVW"},"agent_actions":{"view_html":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED","download_json":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED.json","view_paper":"https://pith.science/paper/7ILHQCVW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.7098&json=true","fetch_graph":"https://pith.science/api/pith-number/7ILHQCVWI26WD2445Z2KMHCNED/graph.json","fetch_events":"https://pith.science/api/pith-number/7ILHQCVWI26WD2445Z2KMHCNED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED/action/storage_attestation","attest_author":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED/action/author_attestation","sign_citation":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED/action/citation_signature","submit_replication":"https://pith.science/pith/7ILHQCVWI26WD2445Z2KMHCNED/action/replication_record"}},"created_at":"2026-05-18T02:43:59.653829+00:00","updated_at":"2026-05-18T02:43:59.653829+00:00"}