{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:X7ZCYVKRWTRXTRIZL7WZI4T67O","short_pith_number":"pith:X7ZCYVKR","schema_version":"1.0","canonical_sha256":"bff22c5551b4e379c5195fed94727efba517252608a44a921debc2641d314194","source":{"kind":"arxiv","id":"1710.10223","version":2},"attestation_state":"computed","paper":{"title":"Bounds on homological invariants of VI-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.RA"],"primary_cat":"math.RT","authors_text":"Liping Li, Wee Liang Gan","submitted_at":"2017-10-27T16:13:36Z","abstract_excerpt":"We give bounds for various homological invariants (including Castelnuovo-Mumford regularity, degrees of local cohomology, and injective dimension) of finitely generated VI-modules in the non-describing characteristic case. It turns out that the formulas of these bounds for VI-modules are the same as the formulas of corresponding bounds for FI-modules."},"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":"1710.10223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-10-27T16:13:36Z","cross_cats_sorted":["math.KT","math.RA"],"title_canon_sha256":"9dcd5be8f1fefa005f3f935aa075a9a8dddc92fd64b15e9ebb380173a9be8bc8","abstract_canon_sha256":"7350dd7ff74d92bdb39502d93085b4c79ceb794f185e2212411020f62dc05b10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:40.851220Z","signature_b64":"fVdXST2z4jxJgy2kvPrquG1O+II0jwwObPkv+wnEZjRVj12dim1JOvw+2leK8OClB9e+wUw+bFkBpa2zNFJ8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bff22c5551b4e379c5195fed94727efba517252608a44a921debc2641d314194","last_reissued_at":"2026-05-17T23:48:40.850714Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:40.850714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds on homological invariants of VI-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.RA"],"primary_cat":"math.RT","authors_text":"Liping Li, Wee Liang Gan","submitted_at":"2017-10-27T16:13:36Z","abstract_excerpt":"We give bounds for various homological invariants (including Castelnuovo-Mumford regularity, degrees of local cohomology, and injective dimension) of finitely generated VI-modules in the non-describing characteristic case. It turns out that the formulas of these bounds for VI-modules are the same as the formulas of corresponding bounds for FI-modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10223","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":"1710.10223","created_at":"2026-05-17T23:48:40.850791+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.10223v2","created_at":"2026-05-17T23:48:40.850791+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10223","created_at":"2026-05-17T23:48:40.850791+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7ZCYVKRWTRX","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7ZCYVKRWTRXTRIZ","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7ZCYVKR","created_at":"2026-05-18T12:31:53.515858+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/X7ZCYVKRWTRXTRIZL7WZI4T67O","json":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O.json","graph_json":"https://pith.science/api/pith-number/X7ZCYVKRWTRXTRIZL7WZI4T67O/graph.json","events_json":"https://pith.science/api/pith-number/X7ZCYVKRWTRXTRIZL7WZI4T67O/events.json","paper":"https://pith.science/paper/X7ZCYVKR"},"agent_actions":{"view_html":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O","download_json":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O.json","view_paper":"https://pith.science/paper/X7ZCYVKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.10223&json=true","fetch_graph":"https://pith.science/api/pith-number/X7ZCYVKRWTRXTRIZL7WZI4T67O/graph.json","fetch_events":"https://pith.science/api/pith-number/X7ZCYVKRWTRXTRIZL7WZI4T67O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O/action/storage_attestation","attest_author":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O/action/author_attestation","sign_citation":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O/action/citation_signature","submit_replication":"https://pith.science/pith/X7ZCYVKRWTRXTRIZL7WZI4T67O/action/replication_record"}},"created_at":"2026-05-17T23:48:40.850791+00:00","updated_at":"2026-05-17T23:48:40.850791+00:00"}