{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YNLW44J6DRR2WKYN6HGGROU5OU","short_pith_number":"pith:YNLW44J6","schema_version":"1.0","canonical_sha256":"c3576e713e1c63ab2b0df1cc68ba9d751d7d034e0cfec7ea409fcb5fd6343989","source":{"kind":"arxiv","id":"1704.01630","version":1},"attestation_state":"computed","paper":{"title":"Regularity bounds for twisted commutative algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AC","authors_text":"Andrew Snowden, Steven V Sam","submitted_at":"2017-04-05T19:43:47Z","abstract_excerpt":"Let A be the twisted commutative algebra freely generated by d indeterminates of degree 1. We show that the regularity of an A-module can be bounded from the first floor(d^2/4) + 2 terms of its minimal free resolution. This extends results of Church and Ellenberg from the d=1 case."},"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":"1704.01630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-04-05T19:43:47Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"4e199ba6c7b0e36932355dcfff18f49a8e152f7821a00fead7516d2416fcc32b","abstract_canon_sha256":"110c939304a70b32297fb662ff5617c7a728339039fea48e81251e7b94656bd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:58:00.065553Z","signature_b64":"zShnmr0Lw7LdOrU0TKVJ/OCjwqVXhhIyNs0O1SoWe8txbTgROQBoHhOsj/L9C4EZZSJBxiauUd9fenI3OH/9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3576e713e1c63ab2b0df1cc68ba9d751d7d034e0cfec7ea409fcb5fd6343989","last_reissued_at":"2026-07-05T00:58:00.065031Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:58:00.065031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularity bounds for twisted commutative algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AC","authors_text":"Andrew Snowden, Steven V Sam","submitted_at":"2017-04-05T19:43:47Z","abstract_excerpt":"Let A be the twisted commutative algebra freely generated by d indeterminates of degree 1. We show that the regularity of an A-module can be bounded from the first floor(d^2/4) + 2 terms of its minimal free resolution. This extends results of Church and Ellenberg from the d=1 case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01630","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1704.01630/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1704.01630","created_at":"2026-07-05T00:58:00.065094+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01630v1","created_at":"2026-07-05T00:58:00.065094+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01630","created_at":"2026-07-05T00:58:00.065094+00:00"},{"alias_kind":"pith_short_12","alias_value":"YNLW44J6DRR2","created_at":"2026-07-05T00:58:00.065094+00:00"},{"alias_kind":"pith_short_16","alias_value":"YNLW44J6DRR2WKYN","created_at":"2026-07-05T00:58:00.065094+00:00"},{"alias_kind":"pith_short_8","alias_value":"YNLW44J6","created_at":"2026-07-05T00:58:00.065094+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/YNLW44J6DRR2WKYN6HGGROU5OU","json":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU.json","graph_json":"https://pith.science/api/pith-number/YNLW44J6DRR2WKYN6HGGROU5OU/graph.json","events_json":"https://pith.science/api/pith-number/YNLW44J6DRR2WKYN6HGGROU5OU/events.json","paper":"https://pith.science/paper/YNLW44J6"},"agent_actions":{"view_html":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU","download_json":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU.json","view_paper":"https://pith.science/paper/YNLW44J6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01630&json=true","fetch_graph":"https://pith.science/api/pith-number/YNLW44J6DRR2WKYN6HGGROU5OU/graph.json","fetch_events":"https://pith.science/api/pith-number/YNLW44J6DRR2WKYN6HGGROU5OU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU/action/storage_attestation","attest_author":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU/action/author_attestation","sign_citation":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU/action/citation_signature","submit_replication":"https://pith.science/pith/YNLW44J6DRR2WKYN6HGGROU5OU/action/replication_record"}},"created_at":"2026-07-05T00:58:00.065094+00:00","updated_at":"2026-07-05T00:58:00.065094+00:00"}