{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LC7O7JGEPBX2V3BYD4IJUM3MTZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"003be3bd181bf8f43061c49f04da7afb0100e9fe91a2c501287efd385c6bd1ac","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-15T21:15:24Z","title_canon_sha256":"63bc3d8fe604b36216300be4ea3bfc783cc630777424866167eed69ec765ac5b"},"schema_version":"1.0","source":{"id":"1611.05057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05057","created_at":"2026-05-18T00:58:28Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05057v1","created_at":"2026-05-18T00:58:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05057","created_at":"2026-05-18T00:58:28Z"},{"alias_kind":"pith_short_12","alias_value":"LC7O7JGEPBX2","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LC7O7JGEPBX2V3BY","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LC7O7JGE","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:4bf1f5caf190c65c431972f170b7d49c14eb811677ae5567aeb4ae332459c5e8","target":"graph","created_at":"2026-05-18T00:58:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the Hadamard finite part of divergent integrals of differential forms with singularities on submanifolds. We give formulae for the dependence of the finite part on the choice of regularization and express them in terms of a suitable local residue map. The cases where the submanifold is a complex hypersurface in a complex manifold and where it is a boundary component of a manifold with boundary, arising in string perturbation theory, are treated in more detail.","authors_text":"David Kazhdan, Giovanni Felder","cross_cats":["math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-15T21:15:24Z","title":"Regularization of divergent integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05057","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6f01ba0f9faa65abd74ca79781f0594a0bfa564ceba2cb1e83e59ece3756c391","target":"record","created_at":"2026-05-18T00:58:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"003be3bd181bf8f43061c49f04da7afb0100e9fe91a2c501287efd385c6bd1ac","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-15T21:15:24Z","title_canon_sha256":"63bc3d8fe604b36216300be4ea3bfc783cc630777424866167eed69ec765ac5b"},"schema_version":"1.0","source":{"id":"1611.05057","kind":"arxiv","version":1}},"canonical_sha256":"58beefa4c4786faaec381f109a336c9e4ba94b398c165aeef201517f061aa4c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58beefa4c4786faaec381f109a336c9e4ba94b398c165aeef201517f061aa4c0","first_computed_at":"2026-05-18T00:58:28.113173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:28.113173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FhojbVlHla56UGFqov2c1DNcjaOX2Xi601kvFOtOk3efyzfGIcvJ/i2zgmyVbsG5oNbb16Ha0f8BNNtBYd07Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:28.113796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f01ba0f9faa65abd74ca79781f0594a0bfa564ceba2cb1e83e59ece3756c391","sha256:4bf1f5caf190c65c431972f170b7d49c14eb811677ae5567aeb4ae332459c5e8"],"state_sha256":"4cee2cb7e985ef1172c7cb3d1878a6682e664934191fd53b262ff0568862c36c"}