{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:76D7EDQDMHTQEEJYK4ZHAXG54H","short_pith_number":"pith:76D7EDQD","schema_version":"1.0","canonical_sha256":"ff87f20e0361e70211385732705cdde1e067fd6004090926c0f2d44a2c62ba70","source":{"kind":"arxiv","id":"1712.00890","version":2},"attestation_state":"computed","paper":{"title":"Linear stable range for homology of congruence subgroups via FI-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.KT","math.NT"],"primary_cat":"math.RT","authors_text":"Liping Li, Wee Liang Gan","submitted_at":"2017-12-04T03:28:38Z","abstract_excerpt":"We answer positively a question of Church, Miller, Nagpal and Reinhold on existence of a linear bound on the presentation degree of the homology of a complex of FI-modules. This implies a linear stable range for the homology of congruence subgroups of general linear groups."},"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":"1712.00890","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-12-04T03:28:38Z","cross_cats_sorted":["math.AT","math.KT","math.NT"],"title_canon_sha256":"423dcb0f36f443e0158d3f4ce646d95375affa93202428a1b50d7542b19b21ee","abstract_canon_sha256":"57df5882afa90fda571311c0ad58e87714b402b355eb2a473cd01da1bb57d815"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:59:14.358647Z","signature_b64":"GvOnDfTcwq9E/FMnVth0DfBYnEt2NAq853YlcW+MXxAiYXfI3FdQ+xqx2kaHuThI+GNvGKxZEAGa2uQ+ZItpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff87f20e0361e70211385732705cdde1e067fd6004090926c0f2d44a2c62ba70","last_reissued_at":"2026-07-04T23:59:14.358242Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:59:14.358242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear stable range for homology of congruence subgroups via FI-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.KT","math.NT"],"primary_cat":"math.RT","authors_text":"Liping Li, Wee Liang Gan","submitted_at":"2017-12-04T03:28:38Z","abstract_excerpt":"We answer positively a question of Church, Miller, Nagpal and Reinhold on existence of a linear bound on the presentation degree of the homology of a complex of FI-modules. This implies a linear stable range for the homology of congruence subgroups of general linear groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00890","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1712.00890/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":"1712.00890","created_at":"2026-07-04T23:59:14.358300+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.00890v2","created_at":"2026-07-04T23:59:14.358300+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00890","created_at":"2026-07-04T23:59:14.358300+00:00"},{"alias_kind":"pith_short_12","alias_value":"76D7EDQDMHTQ","created_at":"2026-07-04T23:59:14.358300+00:00"},{"alias_kind":"pith_short_16","alias_value":"76D7EDQDMHTQEEJY","created_at":"2026-07-04T23:59:14.358300+00:00"},{"alias_kind":"pith_short_8","alias_value":"76D7EDQD","created_at":"2026-07-04T23:59:14.358300+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/76D7EDQDMHTQEEJYK4ZHAXG54H","json":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H.json","graph_json":"https://pith.science/api/pith-number/76D7EDQDMHTQEEJYK4ZHAXG54H/graph.json","events_json":"https://pith.science/api/pith-number/76D7EDQDMHTQEEJYK4ZHAXG54H/events.json","paper":"https://pith.science/paper/76D7EDQD"},"agent_actions":{"view_html":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H","download_json":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H.json","view_paper":"https://pith.science/paper/76D7EDQD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.00890&json=true","fetch_graph":"https://pith.science/api/pith-number/76D7EDQDMHTQEEJYK4ZHAXG54H/graph.json","fetch_events":"https://pith.science/api/pith-number/76D7EDQDMHTQEEJYK4ZHAXG54H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H/action/storage_attestation","attest_author":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H/action/author_attestation","sign_citation":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H/action/citation_signature","submit_replication":"https://pith.science/pith/76D7EDQDMHTQEEJYK4ZHAXG54H/action/replication_record"}},"created_at":"2026-07-04T23:59:14.358300+00:00","updated_at":"2026-07-04T23:59:14.358300+00:00"}