{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:GLWVKAF7S7LEZVBA54G2SZXMXE","short_pith_number":"pith:GLWVKAF7","canonical_record":{"source":{"id":"hep-ph/9511388","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-11-22T09:22:01Z","cross_cats_sorted":[],"title_canon_sha256":"0641b4d81dbbb153e3304d793629998b3ce99612baf3ec7aee449d4bfa9af51d","abstract_canon_sha256":"c3a03a21312232d7dcc071aac710cd9f74aef90fb5204964d7e8614d5238ac6c"},"schema_version":"1.0"},"canonical_sha256":"32ed5500bf97d64cd420ef0da966ecb92ced59f7c4345785393490f456fcc1fe","source":{"kind":"arxiv","id":"hep-ph/9511388","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9511388","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9511388v2","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9511388","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"GLWVKAF7S7LE","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"pith_short_16","alias_value":"GLWVKAF7S7LEZVBA","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"pith_short_8","alias_value":"GLWVKAF7","created_at":"2026-07-04T15:59:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:GLWVKAF7S7LEZVBA54G2SZXMXE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9511388","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-11-22T09:22:01Z","cross_cats_sorted":[],"title_canon_sha256":"0641b4d81dbbb153e3304d793629998b3ce99612baf3ec7aee449d4bfa9af51d","abstract_canon_sha256":"c3a03a21312232d7dcc071aac710cd9f74aef90fb5204964d7e8614d5238ac6c"},"schema_version":"1.0"},"canonical_sha256":"32ed5500bf97d64cd420ef0da966ecb92ced59f7c4345785393490f456fcc1fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:16.981531Z","signature_b64":"bMcFW3UqwO2bK+uHBoCctrYRaFfmvAwRRypgGOzKZZTLL2Mg4yzWHC0IaxnBHyOgV15PcSEUEt/U3zuY2ukSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32ed5500bf97d64cd420ef0da966ecb92ced59f7c4345785393490f456fcc1fe","last_reissued_at":"2026-07-04T15:59:16.981181Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:16.981181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9511388","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:59:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EIsjBeHLTSci/OhUT/JfvIpW5viuOSXQBYjJIw3hnTEXmiNncPmhvUKXd3CoaG91DEZds/YGXZXue0g9wtGaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:41:04.097547Z"},"content_sha256":"ae69344d90f146eb327bed287853d8158fd74129bd2118fa9eb611b669bf9e2b","schema_version":"1.0","event_id":"sha256:ae69344d90f146eb327bed287853d8158fd74129bd2118fa9eb611b669bf9e2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:GLWVKAF7S7LEZVBA54G2SZXMXE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of the Hadronic Light-by-Light Contributions to the Muon $g-2$","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Elisabetta Pallante, Joaquim Prades, Johan Bijnens","submitted_at":"1995-11-22T09:22:01Z","abstract_excerpt":"We calculate the hadronic light-by-light contributions to the muon $g-2$. We use both $1/N_c$ and chiral counting to organize the calculation. Then we calculate the leading and next-to-leading order in the $1/N_c$ expansion low energy contributions using the Extended Nambu--Jona-Lasinio model as hadronic model. We do that to all orders in the external momenta and quark masses expansion. Although the hadronic light-by-light contributions to muon $g-2$ are not saturated by these low energy contributions we estimate them conservatively. A detailed analysis of the different hadronic light-by-light"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9511388","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9511388/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:59:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xhr4Px/x0b+2BkSu/DSJf49h+8zQDYEPEr2k6RGEVs2S7BEsqJ/9fgY55dP3H0iCc4Jqrtk6uyvEbhjAi9eEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:41:04.098083Z"},"content_sha256":"ed1e8bb93b26934fa5b6dc771e581153a45aadfa0abc87ac80f8d4d1843efcfd","schema_version":"1.0","event_id":"sha256:ed1e8bb93b26934fa5b6dc771e581153a45aadfa0abc87ac80f8d4d1843efcfd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GLWVKAF7S7LEZVBA54G2SZXMXE/bundle.json","state_url":"https://pith.science/pith/GLWVKAF7S7LEZVBA54G2SZXMXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GLWVKAF7S7LEZVBA54G2SZXMXE/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":"2026-08-11T11:41:04Z","links":{"resolver":"https://pith.science/pith/GLWVKAF7S7LEZVBA54G2SZXMXE","bundle":"https://pith.science/pith/GLWVKAF7S7LEZVBA54G2SZXMXE/bundle.json","state":"https://pith.science/pith/GLWVKAF7S7LEZVBA54G2SZXMXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GLWVKAF7S7LEZVBA54G2SZXMXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:GLWVKAF7S7LEZVBA54G2SZXMXE","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":"c3a03a21312232d7dcc071aac710cd9f74aef90fb5204964d7e8614d5238ac6c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1995-11-22T09:22:01Z","title_canon_sha256":"0641b4d81dbbb153e3304d793629998b3ce99612baf3ec7aee449d4bfa9af51d"},"schema_version":"1.0","source":{"id":"hep-ph/9511388","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9511388","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9511388v2","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9511388","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"GLWVKAF7S7LE","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"pith_short_16","alias_value":"GLWVKAF7S7LEZVBA","created_at":"2026-07-04T15:59:16Z"},{"alias_kind":"pith_short_8","alias_value":"GLWVKAF7","created_at":"2026-07-04T15:59:16Z"}],"graph_snapshots":[{"event_id":"sha256:ed1e8bb93b26934fa5b6dc771e581153a45aadfa0abc87ac80f8d4d1843efcfd","target":"graph","created_at":"2026-07-04T15:59:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9511388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We calculate the hadronic light-by-light contributions to the muon $g-2$. We use both $1/N_c$ and chiral counting to organize the calculation. Then we calculate the leading and next-to-leading order in the $1/N_c$ expansion low energy contributions using the Extended Nambu--Jona-Lasinio model as hadronic model. We do that to all orders in the external momenta and quark masses expansion. Although the hadronic light-by-light contributions to muon $g-2$ are not saturated by these low energy contributions we estimate them conservatively. A detailed analysis of the different hadronic light-by-light","authors_text":"Elisabetta Pallante, Joaquim Prades, Johan Bijnens","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1995-11-22T09:22:01Z","title":"Analysis of the Hadronic Light-by-Light Contributions to the Muon $g-2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9511388","kind":"arxiv","version":2},"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:ae69344d90f146eb327bed287853d8158fd74129bd2118fa9eb611b669bf9e2b","target":"record","created_at":"2026-07-04T15:59:16Z","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":"c3a03a21312232d7dcc071aac710cd9f74aef90fb5204964d7e8614d5238ac6c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1995-11-22T09:22:01Z","title_canon_sha256":"0641b4d81dbbb153e3304d793629998b3ce99612baf3ec7aee449d4bfa9af51d"},"schema_version":"1.0","source":{"id":"hep-ph/9511388","kind":"arxiv","version":2}},"canonical_sha256":"32ed5500bf97d64cd420ef0da966ecb92ced59f7c4345785393490f456fcc1fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32ed5500bf97d64cd420ef0da966ecb92ced59f7c4345785393490f456fcc1fe","first_computed_at":"2026-07-04T15:59:16.981181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:16.981181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bMcFW3UqwO2bK+uHBoCctrYRaFfmvAwRRypgGOzKZZTLL2Mg4yzWHC0IaxnBHyOgV15PcSEUEt/U3zuY2ukSBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:16.981531Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9511388","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae69344d90f146eb327bed287853d8158fd74129bd2118fa9eb611b669bf9e2b","sha256:ed1e8bb93b26934fa5b6dc771e581153a45aadfa0abc87ac80f8d4d1843efcfd"],"state_sha256":"4c4a2cb7970f24d2526868651e21fdb1a08ba9d2ecdf8c8935071e5b8f9f0955"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DUQ/YquPs7aaOvdfahJwq1r/aVq1xh1XPI+RZMS63rM6DSsqDOYm1ypZUZbAp3FwbbY8Fe3tsuIvnGqcwndhCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T11:41:04.103082Z","bundle_sha256":"e4bf11ccffcc581000c85bdeac7cccaeb1fbfef152c391fdeaf0298bdc2c8a3a"}}