{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:SFYMOCD6BHRZZNFNKJJ6NH26BY","short_pith_number":"pith:SFYMOCD6","canonical_record":{"source":{"id":"nucl-th/9810076","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"1998-10-29T17:24:45Z","cross_cats_sorted":[],"title_canon_sha256":"ee1eefe52340d631b13dff1386742ee1b3417b9af7a826cfdeed22ba8dcf6558","abstract_canon_sha256":"ed0a957f53301ac1f5a1b1f8996ca5e2304a20d3109fb5fee679c958dc1d648b"},"schema_version":"1.0"},"canonical_sha256":"9170c7087e09e39cb4ad5253e69f5e0e3da7a2efe63c7e0cbaab922fbe8e8739","source":{"kind":"arxiv","id":"nucl-th/9810076","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/9810076","created_at":"2026-05-18T01:09:14Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/9810076v1","created_at":"2026-05-18T01:09:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/9810076","created_at":"2026-05-18T01:09:14Z"},{"alias_kind":"pith_short_12","alias_value":"SFYMOCD6BHRZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"SFYMOCD6BHRZZNFN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"SFYMOCD6","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:SFYMOCD6BHRZZNFNKJJ6NH26BY","target":"record","payload":{"canonical_record":{"source":{"id":"nucl-th/9810076","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"1998-10-29T17:24:45Z","cross_cats_sorted":[],"title_canon_sha256":"ee1eefe52340d631b13dff1386742ee1b3417b9af7a826cfdeed22ba8dcf6558","abstract_canon_sha256":"ed0a957f53301ac1f5a1b1f8996ca5e2304a20d3109fb5fee679c958dc1d648b"},"schema_version":"1.0"},"canonical_sha256":"9170c7087e09e39cb4ad5253e69f5e0e3da7a2efe63c7e0cbaab922fbe8e8739","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:14.841569Z","signature_b64":"GkFfNJ0KNwF/xEuvetvgu3ZXVEuFYLYLMcSWY9nyVwLcTbW4n2RUc16m7oaAnhfB5ywY7U60LuU9tsjZZ9iIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9170c7087e09e39cb4ad5253e69f5e0e3da7a2efe63c7e0cbaab922fbe8e8739","last_reissued_at":"2026-05-18T01:09:14.841051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:14.841051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nucl-th/9810076","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":"2026-05-18T01:09:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJM0BoLb07l0L9h30lj2AgjRcy0hE/AhBQy5Yvzilyun3rsOGS+Jp4x3JsK7rdfdhMYofQe/8V6gYBWyIKxdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:44:54.376112Z"},"content_sha256":"3126d8305a4e6b466b161ab9be8a88bff792492df7c177df12718492b5c6ad69","schema_version":"1.0","event_id":"sha256:3126d8305a4e6b466b161ab9be8a88bff792492df7c177df12718492b5c6ad69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:SFYMOCD6BHRZZNFNKJJ6NH26BY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One loop corrections to quantum hadrodynamics with vector mesons","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Gary Pr\\'ezeau","submitted_at":"1998-10-29T17:24:45Z","abstract_excerpt":"The renormalized elastic $\\pi\\pi$ scattering amplitude to one loop is calculated in the chiral limit in the $\\sigma$ model and in a Quantum Hadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III reduces to the linear $\\sigma$ model in the limit that the vector meson masses become large. The pion decay constant is also calculated to 1-loop in the $\\sigma$ model, and at tree level in QHD-III; it is shown that the coefficient of the tree level term in the scattering amplitude equals $F_\\pi^{-2}$. The 1-loop correction of $F_\\pi$ in QHD-III violates strong isospin current conse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/9810076","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":"2026-05-18T01:09:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fkfz8U/5GYCvVLdcnuzHyL/G2nHzQLtS478HLHpzm4WLBodFQlO06+MpnKpoVHzS3WlQp6t+6FPpOxCRHgLfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:44:54.376673Z"},"content_sha256":"1363092e532575c050ecd85c051f2d6dff3545612d44bca6b6e245bac85ccd21","schema_version":"1.0","event_id":"sha256:1363092e532575c050ecd85c051f2d6dff3545612d44bca6b6e245bac85ccd21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY/bundle.json","state_url":"https://pith.science/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY/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":"2026-06-05T00:44:54Z","links":{"resolver":"https://pith.science/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY","bundle":"https://pith.science/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY/bundle.json","state":"https://pith.science/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SFYMOCD6BHRZZNFNKJJ6NH26BY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:SFYMOCD6BHRZZNFNKJJ6NH26BY","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":"ed0a957f53301ac1f5a1b1f8996ca5e2304a20d3109fb5fee679c958dc1d648b","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"1998-10-29T17:24:45Z","title_canon_sha256":"ee1eefe52340d631b13dff1386742ee1b3417b9af7a826cfdeed22ba8dcf6558"},"schema_version":"1.0","source":{"id":"nucl-th/9810076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/9810076","created_at":"2026-05-18T01:09:14Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/9810076v1","created_at":"2026-05-18T01:09:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/9810076","created_at":"2026-05-18T01:09:14Z"},{"alias_kind":"pith_short_12","alias_value":"SFYMOCD6BHRZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"SFYMOCD6BHRZZNFN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"SFYMOCD6","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:1363092e532575c050ecd85c051f2d6dff3545612d44bca6b6e245bac85ccd21","target":"graph","created_at":"2026-05-18T01:09:14Z","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 renormalized elastic $\\pi\\pi$ scattering amplitude to one loop is calculated in the chiral limit in the $\\sigma$ model and in a Quantum Hadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III reduces to the linear $\\sigma$ model in the limit that the vector meson masses become large. The pion decay constant is also calculated to 1-loop in the $\\sigma$ model, and at tree level in QHD-III; it is shown that the coefficient of the tree level term in the scattering amplitude equals $F_\\pi^{-2}$. The 1-loop correction of $F_\\pi$ in QHD-III violates strong isospin current conse","authors_text":"Gary Pr\\'ezeau","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"1998-10-29T17:24:45Z","title":"One loop corrections to quantum hadrodynamics with vector mesons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/9810076","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":"sha256:3126d8305a4e6b466b161ab9be8a88bff792492df7c177df12718492b5c6ad69","target":"record","created_at":"2026-05-18T01:09:14Z","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":"ed0a957f53301ac1f5a1b1f8996ca5e2304a20d3109fb5fee679c958dc1d648b","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"1998-10-29T17:24:45Z","title_canon_sha256":"ee1eefe52340d631b13dff1386742ee1b3417b9af7a826cfdeed22ba8dcf6558"},"schema_version":"1.0","source":{"id":"nucl-th/9810076","kind":"arxiv","version":1}},"canonical_sha256":"9170c7087e09e39cb4ad5253e69f5e0e3da7a2efe63c7e0cbaab922fbe8e8739","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9170c7087e09e39cb4ad5253e69f5e0e3da7a2efe63c7e0cbaab922fbe8e8739","first_computed_at":"2026-05-18T01:09:14.841051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:14.841051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GkFfNJ0KNwF/xEuvetvgu3ZXVEuFYLYLMcSWY9nyVwLcTbW4n2RUc16m7oaAnhfB5ywY7U60LuU9tsjZZ9iIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:14.841569Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/9810076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3126d8305a4e6b466b161ab9be8a88bff792492df7c177df12718492b5c6ad69","sha256:1363092e532575c050ecd85c051f2d6dff3545612d44bca6b6e245bac85ccd21"],"state_sha256":"0ae3e79f7c89ea1ded19f9380f72a244647716821a9ef65d9d13955034163324"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FRmQO+bP7sx+hj8tS3zdCJsBIQuuqDHWECRvSyTldh/SPiGgOqAPLENcNxCpPUAHUkyolhS84u5z5QVCoeQ0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:44:54.379999Z","bundle_sha256":"d3753a7d7c50803d2d2c575518a5a8fbd0112d5aa5aac80690453896f8c5632c"}}