{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:ZJLGOEBPMYJCTYVG2TH26U4HCS","short_pith_number":"pith:ZJLGOEBP","canonical_record":{"source":{"id":"0710.4921","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-25T17:31:03Z","cross_cats_sorted":[],"title_canon_sha256":"989c0d702701168582297b7b0ed1c6862dc3639461c73f5ae7a629a47435ab93","abstract_canon_sha256":"39c8e22b5732f5ce7973266773fa98b48b13ef0d3d4170c9bd3111111cf2d2fe"},"schema_version":"1.0"},"canonical_sha256":"ca5667102f661229e2a6d4cfaf5387148dbf85a6bd5e8f27fbde2c8566b935e0","source":{"kind":"arxiv","id":"0710.4921","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4921","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4921v2","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4921","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"pith_short_12","alias_value":"ZJLGOEBPMYJC","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"pith_short_16","alias_value":"ZJLGOEBPMYJCTYVG","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"pith_short_8","alias_value":"ZJLGOEBP","created_at":"2026-07-04T15:42:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:ZJLGOEBPMYJCTYVG2TH26U4HCS","target":"record","payload":{"canonical_record":{"source":{"id":"0710.4921","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-25T17:31:03Z","cross_cats_sorted":[],"title_canon_sha256":"989c0d702701168582297b7b0ed1c6862dc3639461c73f5ae7a629a47435ab93","abstract_canon_sha256":"39c8e22b5732f5ce7973266773fa98b48b13ef0d3d4170c9bd3111111cf2d2fe"},"schema_version":"1.0"},"canonical_sha256":"ca5667102f661229e2a6d4cfaf5387148dbf85a6bd5e8f27fbde2c8566b935e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:42:11.813114Z","signature_b64":"VtPCq7BYqm7eG6bDupeFDwXBYx4p1rmHGeNdhLD3R415d7jzGIYIDTBt9lgyQ7Ijd0NzeQPifzVQHqYa33qSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca5667102f661229e2a6d4cfaf5387148dbf85a6bd5e8f27fbde2c8566b935e0","last_reissued_at":"2026-07-04T15:42:11.812715Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:42:11.812715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.4921","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":"2026-07-04T15:42:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XQVD7KoJhlC0dLdpmqGR2f0Q6zZFqGqCQQ4ETEMk9AncJ2U0L/73dv87vk/uV/9mAb+LNISxEGR4seURr4NqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T18:21:29.690554Z"},"content_sha256":"6bfb99a00b685ee95032ec9e200e1e1e4ab89699f0d624fb84bee559cff88f2c","schema_version":"1.0","event_id":"sha256:6bfb99a00b685ee95032ec9e200e1e1e4ab89699f0d624fb84bee559cff88f2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:ZJLGOEBPMYJCTYVG2TH26U4HCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weinberg like sum rules revisited","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"S. S. Afonin","submitted_at":"2007-10-25T17:31:03Z","abstract_excerpt":"The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We summarize the status of these sum rules and analyze their overall agreement with phenomenological Lagrangians, low-energy relations, parity doubling, hadron string models, and experimental data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4921","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/0710.4921/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":"2026-07-04T15:42:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lq19NOAbLG7/+uZrP8Sh6cPaMLDXg1CVgUKiFgOX350Y+5PRisbM1fu8dAVdadNMIxd0RZf46zwYQmUjiSA3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T18:21:29.691201Z"},"content_sha256":"7d26667bc8137c70ece2871b8a6c5a8cb48f55ab3b617688f623d4c100fd2926","schema_version":"1.0","event_id":"sha256:7d26667bc8137c70ece2871b8a6c5a8cb48f55ab3b617688f623d4c100fd2926"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS/bundle.json","state_url":"https://pith.science/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS/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":"2026-08-20T18:21:29Z","links":{"resolver":"https://pith.science/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS","bundle":"https://pith.science/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS/bundle.json","state":"https://pith.science/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJLGOEBPMYJCTYVG2TH26U4HCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:ZJLGOEBPMYJCTYVG2TH26U4HCS","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":"39c8e22b5732f5ce7973266773fa98b48b13ef0d3d4170c9bd3111111cf2d2fe","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-25T17:31:03Z","title_canon_sha256":"989c0d702701168582297b7b0ed1c6862dc3639461c73f5ae7a629a47435ab93"},"schema_version":"1.0","source":{"id":"0710.4921","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4921","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4921v2","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4921","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"pith_short_12","alias_value":"ZJLGOEBPMYJC","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"pith_short_16","alias_value":"ZJLGOEBPMYJCTYVG","created_at":"2026-07-04T15:42:11Z"},{"alias_kind":"pith_short_8","alias_value":"ZJLGOEBP","created_at":"2026-07-04T15:42:11Z"}],"graph_snapshots":[{"event_id":"sha256:7d26667bc8137c70ece2871b8a6c5a8cb48f55ab3b617688f623d4c100fd2926","target":"graph","created_at":"2026-07-04T15:42:11Z","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/0710.4921/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We summarize the status of these sum rules and analyze their overall agreement with phenomenological Lagrangians, low-energy relations, parity doubling, hadron string models, and experimental data.","authors_text":"S. S. Afonin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-10-25T17:31:03Z","title":"Weinberg like sum rules revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4921","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":"sha256:6bfb99a00b685ee95032ec9e200e1e1e4ab89699f0d624fb84bee559cff88f2c","target":"record","created_at":"2026-07-04T15:42:11Z","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":"39c8e22b5732f5ce7973266773fa98b48b13ef0d3d4170c9bd3111111cf2d2fe","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-10-25T17:31:03Z","title_canon_sha256":"989c0d702701168582297b7b0ed1c6862dc3639461c73f5ae7a629a47435ab93"},"schema_version":"1.0","source":{"id":"0710.4921","kind":"arxiv","version":2}},"canonical_sha256":"ca5667102f661229e2a6d4cfaf5387148dbf85a6bd5e8f27fbde2c8566b935e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca5667102f661229e2a6d4cfaf5387148dbf85a6bd5e8f27fbde2c8566b935e0","first_computed_at":"2026-07-04T15:42:11.812715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:42:11.812715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VtPCq7BYqm7eG6bDupeFDwXBYx4p1rmHGeNdhLD3R415d7jzGIYIDTBt9lgyQ7Ijd0NzeQPifzVQHqYa33qSCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:42:11.813114Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.4921","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bfb99a00b685ee95032ec9e200e1e1e4ab89699f0d624fb84bee559cff88f2c","sha256:7d26667bc8137c70ece2871b8a6c5a8cb48f55ab3b617688f623d4c100fd2926"],"state_sha256":"513f2a3bfb0ee331009ce02b64d60d2e423d2a5bef2a9942f88afc83490af901"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yf/3P7TJVcof3mQSxVA4J4FVZwy48pSMEFkXUFmy5Vqj1tlU92wj5ybDiuexE3CgDCYRo5+jKsCd0IV2Ggr+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T18:21:29.696833Z","bundle_sha256":"8c2fcaef6a2886cac7c50d9f3e9b23ee14fc8ebcb2481a21f7f6f946a15b0612"}}