{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DORAJYIE4XQN4GIV3RDCKVVH2Y","short_pith_number":"pith:DORAJYIE","schema_version":"1.0","canonical_sha256":"1ba204e104e5e0de1915dc462556a7d601d05a536e200bbf8e4980657552c76e","source":{"kind":"arxiv","id":"1102.4370","version":4},"attestation_state":"computed","paper":{"title":"Weights on cohomology, invariants of singularities, and dual complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Donu Arapura, Jaros{\\l}aw W{\\l}odarczyk, Parsa Bakhtary","submitted_at":"2011-02-21T23:40:07Z","abstract_excerpt":"In this paper, we extract natural invariants of a singularity by using the Deligne weight filtration on the cohomology of an exceptional fibre of a resolution, and also on the intersection cohomology of the link. Our primary goal is to study and give natural bounds on the weights in terms of direct images of differential forms. These bounds can be made explicit for various standard classes such as rational, isolated normal Cohen-Macaulay and toroidal singularities, and lead to strong restrictions on the topology of these singularities. A secondary goal of this paper is to make the weight filtr"},"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":"1102.4370","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-21T23:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"4f0160747c6a811d02c099a54a640f1fbdca470a8a8a10b79b5b6df5fc35aed7","abstract_canon_sha256":"d38e1ec07cd7b9b12b03db3d74321c4ea40f89a97dc14e6f83105d2358890652"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:38.857064Z","signature_b64":"B+j+riEnt3sBOyV/byX7T8uR1IaaWUuZHhGxmbj4t7bKZ16+YUf/KugR+YCVFljzxvZ/x3dSuq6UUUWsTKq5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ba204e104e5e0de1915dc462556a7d601d05a536e200bbf8e4980657552c76e","last_reissued_at":"2026-05-18T03:35:38.856308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:38.856308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weights on cohomology, invariants of singularities, and dual complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Donu Arapura, Jaros{\\l}aw W{\\l}odarczyk, Parsa Bakhtary","submitted_at":"2011-02-21T23:40:07Z","abstract_excerpt":"In this paper, we extract natural invariants of a singularity by using the Deligne weight filtration on the cohomology of an exceptional fibre of a resolution, and also on the intersection cohomology of the link. Our primary goal is to study and give natural bounds on the weights in terms of direct images of differential forms. These bounds can be made explicit for various standard classes such as rational, isolated normal Cohen-Macaulay and toroidal singularities, and lead to strong restrictions on the topology of these singularities. A secondary goal of this paper is to make the weight filtr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4370","kind":"arxiv","version":4},"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":"1102.4370","created_at":"2026-05-18T03:35:38.856435+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4370v4","created_at":"2026-05-18T03:35:38.856435+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4370","created_at":"2026-05-18T03:35:38.856435+00:00"},{"alias_kind":"pith_short_12","alias_value":"DORAJYIE4XQN","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DORAJYIE4XQN4GIV","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DORAJYIE","created_at":"2026-05-18T12:26:26.731475+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/DORAJYIE4XQN4GIV3RDCKVVH2Y","json":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y.json","graph_json":"https://pith.science/api/pith-number/DORAJYIE4XQN4GIV3RDCKVVH2Y/graph.json","events_json":"https://pith.science/api/pith-number/DORAJYIE4XQN4GIV3RDCKVVH2Y/events.json","paper":"https://pith.science/paper/DORAJYIE"},"agent_actions":{"view_html":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y","download_json":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y.json","view_paper":"https://pith.science/paper/DORAJYIE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4370&json=true","fetch_graph":"https://pith.science/api/pith-number/DORAJYIE4XQN4GIV3RDCKVVH2Y/graph.json","fetch_events":"https://pith.science/api/pith-number/DORAJYIE4XQN4GIV3RDCKVVH2Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y/action/storage_attestation","attest_author":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y/action/author_attestation","sign_citation":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y/action/citation_signature","submit_replication":"https://pith.science/pith/DORAJYIE4XQN4GIV3RDCKVVH2Y/action/replication_record"}},"created_at":"2026-05-18T03:35:38.856435+00:00","updated_at":"2026-05-18T03:35:38.856435+00:00"}