{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HQHPL7M6ZDY2STSDZKXLX3J2VO","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":"d80769dafb83ae44604a2aee75ece54e493b239d57c3e866c103269fb4307371","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-03-22T15:39:03Z","title_canon_sha256":"76f739b7703d0f3505303db1732070cd0e8cf37dd6776568657b74e85826b256"},"schema_version":"1.0","source":{"id":"1603.06833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06833","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06833v1","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06833","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"HQHPL7M6ZDY2","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HQHPL7M6ZDY2STSD","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HQHPL7M6","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:45d34249a57f1c8ddfe4e7f3937fa98ea45afc8fe34b1e73843c528bc3cb3f4d","target":"graph","created_at":"2026-05-18T01:18:34Z","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 residue currents of the Bochner--Martinelli type using their relationship with Mellin transforms of residue integrals. We present the structure formula for residue currents associated with monomial mappings: they admit representations as sums of products of residue currents, principal value currents and hypergeometric functions.","authors_text":"Irina Antipova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-03-22T15:39:03Z","title":"On the Structure of the Bochner-Martinelli Residue Currents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06833","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:c85cd0d09a7928d2e55846db4fa080a92af363f25df19fd4776c1d3c0e58f924","target":"record","created_at":"2026-05-18T01:18:34Z","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":"d80769dafb83ae44604a2aee75ece54e493b239d57c3e866c103269fb4307371","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-03-22T15:39:03Z","title_canon_sha256":"76f739b7703d0f3505303db1732070cd0e8cf37dd6776568657b74e85826b256"},"schema_version":"1.0","source":{"id":"1603.06833","kind":"arxiv","version":1}},"canonical_sha256":"3c0ef5fd9ec8f1a94e43caaebbed3aaba1b4ca94ae1cf7513e91278aea7b3ae2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c0ef5fd9ec8f1a94e43caaebbed3aaba1b4ca94ae1cf7513e91278aea7b3ae2","first_computed_at":"2026-05-18T01:18:34.609541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:34.609541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DwNMNdf8/6/CW3ztyV8LM2FlcHoDNGvJALuvQluzkkej/m4GIBp4WEBGsZ6QfkNoaiTX0Z4x52+Y6224U1UqBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:34.609944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c85cd0d09a7928d2e55846db4fa080a92af363f25df19fd4776c1d3c0e58f924","sha256:45d34249a57f1c8ddfe4e7f3937fa98ea45afc8fe34b1e73843c528bc3cb3f4d"],"state_sha256":"a0d8fe6579f44923c58c036b08b308f81efa2e5facf0c2b4d08ad69b0f4d6515"}