{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TUTEHB5LBY5OVSN2FKTFJY5WXL","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":"ee8521993a8a8a4b42dd86d3e3a04a2e328af86f53a5112db85a48decd70f5b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-24T15:32:50Z","title_canon_sha256":"d143cbc17d06d817e47a25c3086a0c5da9ae424373cd5c73bacbfa32f7773b29"},"schema_version":"1.0","source":{"id":"1201.5016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5016","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5016v1","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5016","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"TUTEHB5LBY5O","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TUTEHB5LBY5OVSN2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TUTEHB5L","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:94718153d32a808c34be16cd080e75d8ebd8f5a662bc264ba83cf41dce607a2a","target":"graph","created_at":"2026-05-18T04:03:56Z","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":"The following paper is a variation on a theme of Gianfranco Cimmino on some integral representation formulas for the solution of a linear equations system.\n  Cimmino was probably motivated for giving a representation formula suitable not only for theoretical investigations but also for applied computation.\n  In this paper we will prove that the Cimmino integrals are strictly related to the residues of some zeta-like functions associated to the linear system.","authors_text":"Sergio Venturini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-24T15:32:50Z","title":"On Cimmino Integrals as Residues of Zeta Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5016","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":"sha256:10cb809fd1d0c5051ece05650123e21112162bbefbe8940d8577a7ff1710d60c","target":"record","created_at":"2026-05-18T04:03:56Z","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":"ee8521993a8a8a4b42dd86d3e3a04a2e328af86f53a5112db85a48decd70f5b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-24T15:32:50Z","title_canon_sha256":"d143cbc17d06d817e47a25c3086a0c5da9ae424373cd5c73bacbfa32f7773b29"},"schema_version":"1.0","source":{"id":"1201.5016","kind":"arxiv","version":1}},"canonical_sha256":"9d264387ab0e3aeac9ba2aa654e3b6bac9f86408db70c067348f241623135133","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d264387ab0e3aeac9ba2aa654e3b6bac9f86408db70c067348f241623135133","first_computed_at":"2026-05-18T04:03:56.473221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:56.473221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xcz2K7RzMJ8ylRda7UC+LFLy6/c2L7w1ijfNLx3DqkfAJ+9wDJ9OIHabyNSkVrk8gDVK1PCx+f6nXIrHFXP8Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:56.473854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10cb809fd1d0c5051ece05650123e21112162bbefbe8940d8577a7ff1710d60c","sha256:94718153d32a808c34be16cd080e75d8ebd8f5a662bc264ba83cf41dce607a2a"],"state_sha256":"6870ef2a00dceeb268d1aaa206c2bb097e6fc8f3898b5ac71db6656c2379cca7"}