{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:OINPSHZAPG5B63PNTLENC2WRTN","short_pith_number":"pith:OINPSHZA","canonical_record":{"source":{"id":"hep-ph/9703340","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-03-17T11:40:00Z","cross_cats_sorted":[],"title_canon_sha256":"22cd2301beb8bb8b53815b63e249983787cfdbceab67b02adcc10786c10527ed","abstract_canon_sha256":"b7669e6c48551d6a27cfc0ca02fd51f8fcd0868a2ad41708bac29b92f12f5d3f"},"schema_version":"1.0"},"canonical_sha256":"721af91f2079ba1f6ded9ac8d16ad19b685520bc6ff33b0f75dc75dddb238068","source":{"kind":"arxiv","id":"hep-ph/9703340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9703340","created_at":"2026-05-18T01:08:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9703340v1","created_at":"2026-05-18T01:08:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9703340","created_at":"2026-05-18T01:08:05Z"},{"alias_kind":"pith_short_12","alias_value":"OINPSHZAPG5B","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"OINPSHZAPG5B63PN","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"OINPSHZA","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:OINPSHZAPG5B63PNTLENC2WRTN","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9703340","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-03-17T11:40:00Z","cross_cats_sorted":[],"title_canon_sha256":"22cd2301beb8bb8b53815b63e249983787cfdbceab67b02adcc10786c10527ed","abstract_canon_sha256":"b7669e6c48551d6a27cfc0ca02fd51f8fcd0868a2ad41708bac29b92f12f5d3f"},"schema_version":"1.0"},"canonical_sha256":"721af91f2079ba1f6ded9ac8d16ad19b685520bc6ff33b0f75dc75dddb238068","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:05.312767Z","signature_b64":"NpfA7Sx7HqkIfOkvR8LvXEs1UqDyIHa0DTM8PCzf3JIEiNrp27rihk1mEIkaMfGyfRbO6NVCBcpnJsInNKpDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"721af91f2079ba1f6ded9ac8d16ad19b685520bc6ff33b0f75dc75dddb238068","last_reissued_at":"2026-05-18T01:08:05.312396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:05.312396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9703340","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VOBsbUyLg4vEjsOzqdQAk1VJbK3LraBitS+4bIhOxEydXrfG2aApGY4+0OnE90GytODIhSTsBqgk2eGUPmqlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:24:13.701615Z"},"content_sha256":"f0a20dd62583ff0eb1616707d351fb1f0af8d3e694ea4805dde075538050e6ce","schema_version":"1.0","event_id":"sha256:f0a20dd62583ff0eb1616707d351fb1f0af8d3e694ea4805dde075538050e6ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:OINPSHZAPG5B63PNTLENC2WRTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elementary derivation of a recently proposed integral representation for permanents","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Institute of Nuclear Physics, Kacper Zalewski (Jagellonian University, Krak\\'ow, Poland)","submitted_at":"1997-03-17T11:40:00Z","abstract_excerpt":"A recently proposed integral representation for permanents is rederived using only elementary combinatorics. For this proof the assumption that the matrix, for which the permanent is calculated, has an inverse is not necessary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9703340","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rasGxdM+rcRtv5VenhYHXT6LbHD5dTiVRU6f78ia6pz+l9Su0k7GVvyFBCtonJwZXn/EOx1pNeVuVoKDzClTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:24:13.702311Z"},"content_sha256":"9af10dfc766f69ca869d1f74c225637d05491b4836056878b33a7f1e08a9c8ac","schema_version":"1.0","event_id":"sha256:9af10dfc766f69ca869d1f74c225637d05491b4836056878b33a7f1e08a9c8ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OINPSHZAPG5B63PNTLENC2WRTN/bundle.json","state_url":"https://pith.science/pith/OINPSHZAPG5B63PNTLENC2WRTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OINPSHZAPG5B63PNTLENC2WRTN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T18:24:13Z","links":{"resolver":"https://pith.science/pith/OINPSHZAPG5B63PNTLENC2WRTN","bundle":"https://pith.science/pith/OINPSHZAPG5B63PNTLENC2WRTN/bundle.json","state":"https://pith.science/pith/OINPSHZAPG5B63PNTLENC2WRTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OINPSHZAPG5B63PNTLENC2WRTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:OINPSHZAPG5B63PNTLENC2WRTN","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":"b7669e6c48551d6a27cfc0ca02fd51f8fcd0868a2ad41708bac29b92f12f5d3f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1997-03-17T11:40:00Z","title_canon_sha256":"22cd2301beb8bb8b53815b63e249983787cfdbceab67b02adcc10786c10527ed"},"schema_version":"1.0","source":{"id":"hep-ph/9703340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9703340","created_at":"2026-05-18T01:08:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9703340v1","created_at":"2026-05-18T01:08:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9703340","created_at":"2026-05-18T01:08:05Z"},{"alias_kind":"pith_short_12","alias_value":"OINPSHZAPG5B","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"OINPSHZAPG5B63PN","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"OINPSHZA","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:9af10dfc766f69ca869d1f74c225637d05491b4836056878b33a7f1e08a9c8ac","target":"graph","created_at":"2026-05-18T01:08:05Z","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":"A recently proposed integral representation for permanents is rederived using only elementary combinatorics. For this proof the assumption that the matrix, for which the permanent is calculated, has an inverse is not necessary.","authors_text":"Institute of Nuclear Physics, Kacper Zalewski (Jagellonian University, Krak\\'ow, Poland)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1997-03-17T11:40:00Z","title":"Elementary derivation of a recently proposed integral representation for permanents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9703340","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:f0a20dd62583ff0eb1616707d351fb1f0af8d3e694ea4805dde075538050e6ce","target":"record","created_at":"2026-05-18T01:08:05Z","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":"b7669e6c48551d6a27cfc0ca02fd51f8fcd0868a2ad41708bac29b92f12f5d3f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1997-03-17T11:40:00Z","title_canon_sha256":"22cd2301beb8bb8b53815b63e249983787cfdbceab67b02adcc10786c10527ed"},"schema_version":"1.0","source":{"id":"hep-ph/9703340","kind":"arxiv","version":1}},"canonical_sha256":"721af91f2079ba1f6ded9ac8d16ad19b685520bc6ff33b0f75dc75dddb238068","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"721af91f2079ba1f6ded9ac8d16ad19b685520bc6ff33b0f75dc75dddb238068","first_computed_at":"2026-05-18T01:08:05.312396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:05.312396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NpfA7Sx7HqkIfOkvR8LvXEs1UqDyIHa0DTM8PCzf3JIEiNrp27rihk1mEIkaMfGyfRbO6NVCBcpnJsInNKpDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:05.312767Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9703340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0a20dd62583ff0eb1616707d351fb1f0af8d3e694ea4805dde075538050e6ce","sha256:9af10dfc766f69ca869d1f74c225637d05491b4836056878b33a7f1e08a9c8ac"],"state_sha256":"de0b171b392e83a503b5778f1f08f0280853ae413be7093f92cbeee3525bd318"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8XdFu+VQdsE9Z9nkwrL/6p7uiV4LE1RshqcAK54uKe4QPJ0TYb4V4tq354IX0zPlDrEpcZsZYDxENfKP5LiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:24:13.706064Z","bundle_sha256":"9af2c9b966d14a8433aa5020381d75349843becb1b140a234245a6bb3a1ebb86"}}