{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:IQM75YKMM4C4HEWH4H4AQ6G6I7","short_pith_number":"pith:IQM75YKM","canonical_record":{"source":{"id":"0704.1271","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-10T16:56:38Z","cross_cats_sorted":[],"title_canon_sha256":"4f1c965ea47419f1db81bc2bce9d801ce88a86d404b07c114283eb3c370e3aa7","abstract_canon_sha256":"d45ceebe9e6a26af0aa84dcf66f60ae39facb44e3c2bfda648aca24f9b2824ef"},"schema_version":"1.0"},"canonical_sha256":"4419fee14c6705c392c7e1f80878de47d89c1bc91671434f93998c58c974f384","source":{"kind":"arxiv","id":"0704.1271","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.1271","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"0704.1271v2","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.1271","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"IQM75YKMM4C4","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"pith_short_16","alias_value":"IQM75YKMM4C4HEWH","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"pith_short_8","alias_value":"IQM75YKM","created_at":"2026-07-04T15:41:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:IQM75YKMM4C4HEWH4H4AQ6G6I7","target":"record","payload":{"canonical_record":{"source":{"id":"0704.1271","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-10T16:56:38Z","cross_cats_sorted":[],"title_canon_sha256":"4f1c965ea47419f1db81bc2bce9d801ce88a86d404b07c114283eb3c370e3aa7","abstract_canon_sha256":"d45ceebe9e6a26af0aa84dcf66f60ae39facb44e3c2bfda648aca24f9b2824ef"},"schema_version":"1.0"},"canonical_sha256":"4419fee14c6705c392c7e1f80878de47d89c1bc91671434f93998c58c974f384","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:41:30.747958Z","signature_b64":"kllJFPBaqWncl8PuH/9FNjO3W0j93IZwuCJjgR4VFg/1OQuvK/eU4TaJRhUQ+xlBHA0u5ooyechLjO4Uurs/AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4419fee14c6705c392c7e1f80878de47d89c1bc91671434f93998c58c974f384","last_reissued_at":"2026-07-04T15:41:30.747520Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:41:30.747520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0704.1271","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":"2026-07-04T15:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7VrTP9I/RhXSgGAPcecozXOoSTq1ZLyN1QMj2e+ViEmCIxUXP+ASIMMG4D5eJ4vDPyZkdIS4pZe9tjn9pwK6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T05:29:46.929507Z"},"content_sha256":"561f537079658356483a13735b672ca19d594b849b9a7944ab46a5ff3112ac32","schema_version":"1.0","event_id":"sha256:561f537079658356483a13735b672ca19d594b849b9a7944ab46a5ff3112ac32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:IQM75YKMM4C4HEWH4H4AQ6G6I7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical Evaluation of Six-Photon Amplitudes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Costas G. Papadopoulos (Democritos Nucl. Res. Ctr.), Giovanni Ossola, Roberto Pittau (Turin U. & INFN, Turin)","submitted_at":"2007-04-10T16:56:38Z","abstract_excerpt":"We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the method, including a general strategy to reconstruct the rational part of any one-loop amplitude and the treatment of vanishing Gram-determinants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.1271","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/0704.1271/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":"2026-07-04T15:41:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xs/EVpxEEHTr/a9FowALVxBnMeDSQIig8pAhTqa9sxYJbsXUqqzPLL3GsClmk//okk3KqzhYIxEec6nCRG7zAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T05:29:46.930035Z"},"content_sha256":"a529e1e4740e671201e3f4d47d2a6a643f783756678daddf8e4f459166b66e11","schema_version":"1.0","event_id":"sha256:a529e1e4740e671201e3f4d47d2a6a643f783756678daddf8e4f459166b66e11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7/bundle.json","state_url":"https://pith.science/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7/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":"2026-08-15T05:29:46Z","links":{"resolver":"https://pith.science/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7","bundle":"https://pith.science/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7/bundle.json","state":"https://pith.science/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IQM75YKMM4C4HEWH4H4AQ6G6I7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IQM75YKMM4C4HEWH4H4AQ6G6I7","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":"d45ceebe9e6a26af0aa84dcf66f60ae39facb44e3c2bfda648aca24f9b2824ef","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-10T16:56:38Z","title_canon_sha256":"4f1c965ea47419f1db81bc2bce9d801ce88a86d404b07c114283eb3c370e3aa7"},"schema_version":"1.0","source":{"id":"0704.1271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.1271","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"0704.1271v2","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.1271","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"IQM75YKMM4C4","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"pith_short_16","alias_value":"IQM75YKMM4C4HEWH","created_at":"2026-07-04T15:41:30Z"},{"alias_kind":"pith_short_8","alias_value":"IQM75YKM","created_at":"2026-07-04T15:41:30Z"}],"graph_snapshots":[{"event_id":"sha256:a529e1e4740e671201e3f4d47d2a6a643f783756678daddf8e4f459166b66e11","target":"graph","created_at":"2026-07-04T15:41:30Z","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/0704.1271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the method, including a general strategy to reconstruct the rational part of any one-loop amplitude and the treatment of vanishing Gram-determinants.","authors_text":"Costas G. Papadopoulos (Democritos Nucl. Res. Ctr.), Giovanni Ossola, Roberto Pittau (Turin U. & INFN, Turin)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-04-10T16:56:38Z","title":"Numerical Evaluation of Six-Photon Amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.1271","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":"sha256:561f537079658356483a13735b672ca19d594b849b9a7944ab46a5ff3112ac32","target":"record","created_at":"2026-07-04T15:41:30Z","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":"d45ceebe9e6a26af0aa84dcf66f60ae39facb44e3c2bfda648aca24f9b2824ef","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-10T16:56:38Z","title_canon_sha256":"4f1c965ea47419f1db81bc2bce9d801ce88a86d404b07c114283eb3c370e3aa7"},"schema_version":"1.0","source":{"id":"0704.1271","kind":"arxiv","version":2}},"canonical_sha256":"4419fee14c6705c392c7e1f80878de47d89c1bc91671434f93998c58c974f384","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4419fee14c6705c392c7e1f80878de47d89c1bc91671434f93998c58c974f384","first_computed_at":"2026-07-04T15:41:30.747520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:41:30.747520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kllJFPBaqWncl8PuH/9FNjO3W0j93IZwuCJjgR4VFg/1OQuvK/eU4TaJRhUQ+xlBHA0u5ooyechLjO4Uurs/AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:41:30.747958Z","signed_message":"canonical_sha256_bytes"},"source_id":"0704.1271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:561f537079658356483a13735b672ca19d594b849b9a7944ab46a5ff3112ac32","sha256:a529e1e4740e671201e3f4d47d2a6a643f783756678daddf8e4f459166b66e11"],"state_sha256":"987356c95e3ed09bd23382d280d0afe56ff0c0c7c0121f124643c4a953ddee91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZEKtxnzluXcih4pVksnySJiSA1d71zgUG6sAH1vnPE19ZwMCS6D4OOgWzGfGIRul+ONo6JP1+MAeBGuorZhxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T05:29:46.935359Z","bundle_sha256":"3f22ee46713bc9e064c37a28f88edc845667df5e89058363a037e6bda0ba248e"}}