{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2M6YDBWAKUBYNYEPL4V7IAFFDU","short_pith_number":"pith:2M6YDBWA","schema_version":"1.0","canonical_sha256":"d33d8186c0550386e08f5f2bf400a51d218ae2d43669d918f97ebdadddfd7fbc","source":{"kind":"arxiv","id":"1602.04651","version":3},"attestation_state":"computed","paper":{"title":"Hyperbolic localization via shrinking subbundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yuichi Ike","submitted_at":"2016-02-15T12:31:25Z","abstract_excerpt":"We study the Lefschetz fixed point formula for constructible sheaves with higher-dimensional fixed point sets. We give another proof to the explicit description of Lefschetz cycles in our previous paper. For this purpose, we introduce a new notion of shrinking subbundles and describe Lefschetz cycles by using hyperbolic localization with respect to shrinking subbundles."},"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":"1602.04651","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-15T12:31:25Z","cross_cats_sorted":[],"title_canon_sha256":"be11ca2a30e83c6234642e2efcdc0d9c3273e52ffd9c9a09b0ff4778a6e35a80","abstract_canon_sha256":"d0e41283137351090648b31a2123298a7fd03df3ccfbbb540ae06d2f7ac921fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:01.755029Z","signature_b64":"HBMxopSe5r5H+L7q2Qk0SVmtYhFPb16hC0GOVct716vtidMP5Zpbb5Iyc+MYEtMPLOd8QrtQ20hOKMwan2WQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d33d8186c0550386e08f5f2bf400a51d218ae2d43669d918f97ebdadddfd7fbc","last_reissued_at":"2026-05-18T00:45:01.754650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:01.754650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperbolic localization via shrinking subbundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yuichi Ike","submitted_at":"2016-02-15T12:31:25Z","abstract_excerpt":"We study the Lefschetz fixed point formula for constructible sheaves with higher-dimensional fixed point sets. We give another proof to the explicit description of Lefschetz cycles in our previous paper. For this purpose, we introduce a new notion of shrinking subbundles and describe Lefschetz cycles by using hyperbolic localization with respect to shrinking subbundles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04651","kind":"arxiv","version":3},"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":"1602.04651","created_at":"2026-05-18T00:45:01.754710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.04651v3","created_at":"2026-05-18T00:45:01.754710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04651","created_at":"2026-05-18T00:45:01.754710+00:00"},{"alias_kind":"pith_short_12","alias_value":"2M6YDBWAKUBY","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2M6YDBWAKUBYNYEP","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2M6YDBWA","created_at":"2026-05-18T12:29:55.572404+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/2M6YDBWAKUBYNYEPL4V7IAFFDU","json":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU.json","graph_json":"https://pith.science/api/pith-number/2M6YDBWAKUBYNYEPL4V7IAFFDU/graph.json","events_json":"https://pith.science/api/pith-number/2M6YDBWAKUBYNYEPL4V7IAFFDU/events.json","paper":"https://pith.science/paper/2M6YDBWA"},"agent_actions":{"view_html":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU","download_json":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU.json","view_paper":"https://pith.science/paper/2M6YDBWA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.04651&json=true","fetch_graph":"https://pith.science/api/pith-number/2M6YDBWAKUBYNYEPL4V7IAFFDU/graph.json","fetch_events":"https://pith.science/api/pith-number/2M6YDBWAKUBYNYEPL4V7IAFFDU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU/action/storage_attestation","attest_author":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU/action/author_attestation","sign_citation":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU/action/citation_signature","submit_replication":"https://pith.science/pith/2M6YDBWAKUBYNYEPL4V7IAFFDU/action/replication_record"}},"created_at":"2026-05-18T00:45:01.754710+00:00","updated_at":"2026-05-18T00:45:01.754710+00:00"}