{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:2WIFPGXFZ3RUV5QYBUXO75CSUE","short_pith_number":"pith:2WIFPGXF","canonical_record":{"source":{"id":"nucl-th/0105063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2001-05-24T15:43:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"fb2b59aee1b52c63748a667c2551222b2bb0ad77e8611c73158a77db0eac90a6","abstract_canon_sha256":"0f40d291f3e3f09a76c088d3edbd9ff62ce5e905a8c9bc0c7e6b9951dd2a4bc8"},"schema_version":"1.0"},"canonical_sha256":"d590579ae5cee34af6180d2eeff452a12c75e6888591c18a75b3eec918d10335","source":{"kind":"arxiv","id":"nucl-th/0105063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0105063","created_at":"2026-05-18T00:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0105063v1","created_at":"2026-05-18T00:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0105063","created_at":"2026-05-18T00:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"2WIFPGXFZ3RU","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2WIFPGXFZ3RUV5QY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2WIFPGXF","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:2WIFPGXFZ3RUV5QYBUXO75CSUE","target":"record","payload":{"canonical_record":{"source":{"id":"nucl-th/0105063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2001-05-24T15:43:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"fb2b59aee1b52c63748a667c2551222b2bb0ad77e8611c73158a77db0eac90a6","abstract_canon_sha256":"0f40d291f3e3f09a76c088d3edbd9ff62ce5e905a8c9bc0c7e6b9951dd2a4bc8"},"schema_version":"1.0"},"canonical_sha256":"d590579ae5cee34af6180d2eeff452a12c75e6888591c18a75b3eec918d10335","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:07.550377Z","signature_b64":"7XeuIE9sh4Lmu776n5rOAsj+SBEwWwzGItgm/Q+ECDBwNMG7nvJzW2mYhgnAyiaX3ekGJrgP/23XIV0VWD2gBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d590579ae5cee34af6180d2eeff452a12c75e6888591c18a75b3eec918d10335","last_reissued_at":"2026-05-18T00:37:07.549849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:07.549849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nucl-th/0105063","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":"2026-05-18T00:37:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s0Xz7SrLQ3jQrqj6xYz+iNntrqY4Ug7l7cEydSJvIMwgnldq26DHzdfzUARyc1YpuF3w8Rc9sxRd/47QwLEEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:54:51.181410Z"},"content_sha256":"28e53be11ef7f07ad452c4186dbbaa00a6735e16d3ad75e678252dd43bb66f40","schema_version":"1.0","event_id":"sha256:28e53be11ef7f07ad452c4186dbbaa00a6735e16d3ad75e678252dd43bb66f40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:2WIFPGXFZ3RUV5QYBUXO75CSUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic Generalization of the Post-Prior Equivalence for Reaction of Composite Particles","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"Cheuk-Yin Wong (ORNL), Horace W. Crater (UTSI)","submitted_at":"2001-05-24T15:43:59Z","abstract_excerpt":"In the non-relativistic description of the reaction of composite particles, the reaction matrix is independent of the choice of post or prior forms for the interaction. We generalize this post-prior equivalence to the relativistic reaction of composite particles by using Dirac's constraint dynamics to describe the bound states and the reaction process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0105063","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":"2026-05-18T00:37:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iUSsbbOGF4XtuPOWnb8GqwCg+4ZFpbdh6FjdKebl60GnUs027JX70gcaNIvULH0o92GmMGycN9O5aYuFkPvKCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:54:51.181799Z"},"content_sha256":"ebebbe3793cfce5a4c4f82e13df373e3189262a59ac61037f4077ebb3df426e9","schema_version":"1.0","event_id":"sha256:ebebbe3793cfce5a4c4f82e13df373e3189262a59ac61037f4077ebb3df426e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE/bundle.json","state_url":"https://pith.science/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE/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":"2026-07-04T15:54:51Z","links":{"resolver":"https://pith.science/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE","bundle":"https://pith.science/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE/bundle.json","state":"https://pith.science/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2WIFPGXFZ3RUV5QYBUXO75CSUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:2WIFPGXFZ3RUV5QYBUXO75CSUE","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":"0f40d291f3e3f09a76c088d3edbd9ff62ce5e905a8c9bc0c7e6b9951dd2a4bc8","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"nucl-th","submitted_at":"2001-05-24T15:43:59Z","title_canon_sha256":"fb2b59aee1b52c63748a667c2551222b2bb0ad77e8611c73158a77db0eac90a6"},"schema_version":"1.0","source":{"id":"nucl-th/0105063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0105063","created_at":"2026-05-18T00:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0105063v1","created_at":"2026-05-18T00:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0105063","created_at":"2026-05-18T00:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"2WIFPGXFZ3RU","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2WIFPGXFZ3RUV5QY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2WIFPGXF","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:ebebbe3793cfce5a4c4f82e13df373e3189262a59ac61037f4077ebb3df426e9","target":"graph","created_at":"2026-05-18T00:37:07Z","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":"In the non-relativistic description of the reaction of composite particles, the reaction matrix is independent of the choice of post or prior forms for the interaction. We generalize this post-prior equivalence to the relativistic reaction of composite particles by using Dirac's constraint dynamics to describe the bound states and the reaction process.","authors_text":"Cheuk-Yin Wong (ORNL), Horace W. Crater (UTSI)","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2001-05-24T15:43:59Z","title":"Relativistic Generalization of the Post-Prior Equivalence for Reaction of Composite Particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0105063","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":"sha256:28e53be11ef7f07ad452c4186dbbaa00a6735e16d3ad75e678252dd43bb66f40","target":"record","created_at":"2026-05-18T00:37:07Z","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":"0f40d291f3e3f09a76c088d3edbd9ff62ce5e905a8c9bc0c7e6b9951dd2a4bc8","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"nucl-th","submitted_at":"2001-05-24T15:43:59Z","title_canon_sha256":"fb2b59aee1b52c63748a667c2551222b2bb0ad77e8611c73158a77db0eac90a6"},"schema_version":"1.0","source":{"id":"nucl-th/0105063","kind":"arxiv","version":1}},"canonical_sha256":"d590579ae5cee34af6180d2eeff452a12c75e6888591c18a75b3eec918d10335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d590579ae5cee34af6180d2eeff452a12c75e6888591c18a75b3eec918d10335","first_computed_at":"2026-05-18T00:37:07.549849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:07.549849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7XeuIE9sh4Lmu776n5rOAsj+SBEwWwzGItgm/Q+ECDBwNMG7nvJzW2mYhgnAyiaX3ekGJrgP/23XIV0VWD2gBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:07.550377Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0105063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28e53be11ef7f07ad452c4186dbbaa00a6735e16d3ad75e678252dd43bb66f40","sha256:ebebbe3793cfce5a4c4f82e13df373e3189262a59ac61037f4077ebb3df426e9"],"state_sha256":"8cd3bccf292233bda20f2e20c6e889a9304ed1e7cc3cd6d1a7d7e0bda0e76120"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdYmlBX6gSAH7OVaoTqkQkC/8VajRNANHuw9jCXq6IDSy+HRyozs1Fslgmz9ubXny4OT6onJC/VKfE6TKBohDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T15:54:51.183826Z","bundle_sha256":"40c3349e2ad9a9284d7bcd83d3039c097102d97f08a5d41f0cf1d06474ef78de"}}