{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:ODKYAKKF5GJA2PYT66YRMBULIU","short_pith_number":"pith:ODKYAKKF","canonical_record":{"source":{"id":"hep-th/0301022","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-01-06T15:04:51Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"377a0539c35eae792b5d8b31b7b9a3962591c1859b98328e81167972b87a40a5","abstract_canon_sha256":"dd0395b5a7cda5300713fcc1b06650ae22bcf5c101267fe82ed2ce108f97096a"},"schema_version":"1.0"},"canonical_sha256":"70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703","source":{"kind":"arxiv","id":"hep-th/0301022","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0301022","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0301022v3","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0301022","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"ODKYAKKF5GJA","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"pith_short_16","alias_value":"ODKYAKKF5GJA2PYT","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"pith_short_8","alias_value":"ODKYAKKF","created_at":"2026-07-04T16:41:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:ODKYAKKF5GJA2PYT66YRMBULIU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0301022","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-01-06T15:04:51Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"377a0539c35eae792b5d8b31b7b9a3962591c1859b98328e81167972b87a40a5","abstract_canon_sha256":"dd0395b5a7cda5300713fcc1b06650ae22bcf5c101267fe82ed2ce108f97096a"},"schema_version":"1.0"},"canonical_sha256":"70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:01.681750Z","signature_b64":"/SwxniQIBeRMyrvgjefn0qr6w11WVfbkFJVEm1booG8kuWgubwKXf3+21p7kLgYp2btxFMN7BLa1PkQ68WNBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703","last_reissued_at":"2026-07-04T16:41:01.681296Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:01.681296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0301022","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"unNQbYTeOBl6lO4iRcyIZudyLFION/JFpkNo5mRbEGE5QbkSjqjIeo5Th1qsDDb78Upwsrx3WHDg1LtZAAGtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:21:37.981585Z"},"content_sha256":"6597ff1694d6336ba3af394569a97243055b440f24e0f260d218eedbc4eff8d2","schema_version":"1.0","event_id":"sha256:6597ff1694d6336ba3af394569a97243055b440f24e0f260d218eedbc4eff8d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:ODKYAKKF5GJA2PYT66YRMBULIU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the low-energy limit of the QED N-photon amplitudes","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Christian Schubert, Louise C. Martin, Victor M. Villanueva Sandoval","submitted_at":"2003-01-06T15:04:51Z","abstract_excerpt":"We derive an explicit formula for the low energy limits of the one-loop, on-shell, massive N-photon amplitudes, for arbitrary N and all helicity assignments, in scalar and spinor QED. The two-loop corrections to the same amplitudes are obtained for up to the ten point case. All photon amplitudes with an odd number of `+' helicities are shown to vanish in this limit to all loop orders."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0301022","kind":"arxiv","version":3},"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-th/0301022/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":"2026-07-04T16:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7EgCG9K/C1+YGBVvXe4e8os88lr49gOPprvzLDb5q32gcf8opB8FMR9RepOdekg8tGNPKtWtKD4ML+oL6nO7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:21:37.982419Z"},"content_sha256":"4fbf2505a812b925d5e9cb5958f20dacac35a9918d7c1f85f58beaae1a180b51","schema_version":"1.0","event_id":"sha256:4fbf2505a812b925d5e9cb5958f20dacac35a9918d7c1f85f58beaae1a180b51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ODKYAKKF5GJA2PYT66YRMBULIU/bundle.json","state_url":"https://pith.science/pith/ODKYAKKF5GJA2PYT66YRMBULIU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ODKYAKKF5GJA2PYT66YRMBULIU/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":"2026-08-09T17:21:37Z","links":{"resolver":"https://pith.science/pith/ODKYAKKF5GJA2PYT66YRMBULIU","bundle":"https://pith.science/pith/ODKYAKKF5GJA2PYT66YRMBULIU/bundle.json","state":"https://pith.science/pith/ODKYAKKF5GJA2PYT66YRMBULIU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ODKYAKKF5GJA2PYT66YRMBULIU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:ODKYAKKF5GJA2PYT66YRMBULIU","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":"dd0395b5a7cda5300713fcc1b06650ae22bcf5c101267fe82ed2ce108f97096a","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-01-06T15:04:51Z","title_canon_sha256":"377a0539c35eae792b5d8b31b7b9a3962591c1859b98328e81167972b87a40a5"},"schema_version":"1.0","source":{"id":"hep-th/0301022","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0301022","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0301022v3","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0301022","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"ODKYAKKF5GJA","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"pith_short_16","alias_value":"ODKYAKKF5GJA2PYT","created_at":"2026-07-04T16:41:01Z"},{"alias_kind":"pith_short_8","alias_value":"ODKYAKKF","created_at":"2026-07-04T16:41:01Z"}],"graph_snapshots":[{"event_id":"sha256:4fbf2505a812b925d5e9cb5958f20dacac35a9918d7c1f85f58beaae1a180b51","target":"graph","created_at":"2026-07-04T16:41:01Z","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-th/0301022/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive an explicit formula for the low energy limits of the one-loop, on-shell, massive N-photon amplitudes, for arbitrary N and all helicity assignments, in scalar and spinor QED. The two-loop corrections to the same amplitudes are obtained for up to the ten point case. All photon amplitudes with an odd number of `+' helicities are shown to vanish in this limit to all loop orders.","authors_text":"Christian Schubert, Louise C. Martin, Victor M. Villanueva Sandoval","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-01-06T15:04:51Z","title":"On the low-energy limit of the QED N-photon amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0301022","kind":"arxiv","version":3},"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":"sha256:6597ff1694d6336ba3af394569a97243055b440f24e0f260d218eedbc4eff8d2","target":"record","created_at":"2026-07-04T16:41:01Z","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":"dd0395b5a7cda5300713fcc1b06650ae22bcf5c101267fe82ed2ce108f97096a","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-01-06T15:04:51Z","title_canon_sha256":"377a0539c35eae792b5d8b31b7b9a3962591c1859b98328e81167972b87a40a5"},"schema_version":"1.0","source":{"id":"hep-th/0301022","kind":"arxiv","version":3}},"canonical_sha256":"70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703","first_computed_at":"2026-07-04T16:41:01.681296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:01.681296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/SwxniQIBeRMyrvgjefn0qr6w11WVfbkFJVEm1booG8kuWgubwKXf3+21p7kLgYp2btxFMN7BLa1PkQ68WNBCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:01.681750Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0301022","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6597ff1694d6336ba3af394569a97243055b440f24e0f260d218eedbc4eff8d2","sha256:4fbf2505a812b925d5e9cb5958f20dacac35a9918d7c1f85f58beaae1a180b51"],"state_sha256":"736b30083d58c038e2072ebdff7325033ced1951119eedefcc5f17359833c204"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XC8IRznFr0bRCfbxtoCwBe7jgLhJnHC23F5b3d5aY+1lFJqJYCXQCRSWR+in3t+mqBa2jRiiXRaA6P9Kcx9LBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:21:37.991924Z","bundle_sha256":"3b5f984c4cfaf4bb6ebe34000fcb1079b561c9f756e9d4012a90cdd6ab184cef"}}