{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:NMLIIH5DDTPYFWWXOUMPW5BAUJ","short_pith_number":"pith:NMLIIH5D","canonical_record":{"source":{"id":"hep-ph/9911411","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-11-19T15:11:06Z","cross_cats_sorted":[],"title_canon_sha256":"795cba9ea79973b68e1e680956fbae1bcbf0ef207b89b4bce03ebb54cbf934d1","abstract_canon_sha256":"5d0b728cb7582478e242ddcf5b8234778e575c1b860db41a8f3f2e1ac76b3c41"},"schema_version":"1.0"},"canonical_sha256":"6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0","source":{"kind":"arxiv","id":"hep-ph/9911411","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9911411","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9911411v1","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9911411","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"pith_short_12","alias_value":"NMLIIH5DDTPY","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMLIIH5DDTPYFWWX","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMLIIH5D","created_at":"2026-07-04T16:14:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:NMLIIH5DDTPYFWWXOUMPW5BAUJ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9911411","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-11-19T15:11:06Z","cross_cats_sorted":[],"title_canon_sha256":"795cba9ea79973b68e1e680956fbae1bcbf0ef207b89b4bce03ebb54cbf934d1","abstract_canon_sha256":"5d0b728cb7582478e242ddcf5b8234778e575c1b860db41a8f3f2e1ac76b3c41"},"schema_version":"1.0"},"canonical_sha256":"6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:34.072211Z","signature_b64":"Dv4R/0ITyj1nYq/4efQJ0S2F4J3YRbDLK8ZUWzALxsH0LI1gGLDd1wbHI1A5o5a8yhedng1QaHOrECZIWgSDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0","last_reissued_at":"2026-07-04T16:14:34.071759Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:34.071759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9911411","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":"2026-07-04T16:14:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h4HNG+Eag8D2ZxLI+VvpOZtVYt2VleLoOyufoaaBdhdp/ITe7Dx50aWzGx4E/RI5KBt19/fO3NPmjig48yOhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T08:40:44.259349Z"},"content_sha256":"3f8b7cb42e13306d6f9e51aa30c25468a4cfc16640af4fff6930d0e4f51f178c","schema_version":"1.0","event_id":"sha256:3f8b7cb42e13306d6f9e51aa30c25468a4cfc16640af4fff6930d0e4f51f178c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:NMLIIH5DDTPYFWWXOUMPW5BAUJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solving multi-loop Feynman diagrams using light-front coordinates","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"N.E. Ligterink","submitted_at":"1999-11-19T15:11:06Z","abstract_excerpt":"We determine the numerical values of scalar multi-loop two-vertex Feynman diagrams, the generalized sunset diagrams, by integrating all but the longitudinal momenta analytically. For the longitudinal momenta we introduce one collective coordinate, which allows us to determine the numerical value of the diagram efficiently and to an arbitrary accuracy. The imaginary part and the threshold behavior of the diagram are also handled within this framework."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9911411","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9911411/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":"2026-07-04T16:14:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Est+eSGBn421AsSjM9Ab9wLACO4pMA/JRLYCBTV2w9MrdsYdL51iR3FRD4LmuIxYzaN3Vaf8b7t98nvRnKbVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T08:40:44.259727Z"},"content_sha256":"5be93441bd87f06b43dbb13f4afe0cd5f97115d7cd709ae93a78360eab5dcdfc","schema_version":"1.0","event_id":"sha256:5be93441bd87f06b43dbb13f4afe0cd5f97115d7cd709ae93a78360eab5dcdfc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ/bundle.json","state_url":"https://pith.science/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ/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":"2026-07-06T08:40:44Z","links":{"resolver":"https://pith.science/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ","bundle":"https://pith.science/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ/bundle.json","state":"https://pith.science/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NMLIIH5DDTPYFWWXOUMPW5BAUJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:NMLIIH5DDTPYFWWXOUMPW5BAUJ","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":"5d0b728cb7582478e242ddcf5b8234778e575c1b860db41a8f3f2e1ac76b3c41","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-11-19T15:11:06Z","title_canon_sha256":"795cba9ea79973b68e1e680956fbae1bcbf0ef207b89b4bce03ebb54cbf934d1"},"schema_version":"1.0","source":{"id":"hep-ph/9911411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9911411","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9911411v1","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9911411","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"pith_short_12","alias_value":"NMLIIH5DDTPY","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMLIIH5DDTPYFWWX","created_at":"2026-07-04T16:14:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMLIIH5D","created_at":"2026-07-04T16:14:34Z"}],"graph_snapshots":[{"event_id":"sha256:5be93441bd87f06b43dbb13f4afe0cd5f97115d7cd709ae93a78360eab5dcdfc","target":"graph","created_at":"2026-07-04T16:14:34Z","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-ph/9911411/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the numerical values of scalar multi-loop two-vertex Feynman diagrams, the generalized sunset diagrams, by integrating all but the longitudinal momenta analytically. For the longitudinal momenta we introduce one collective coordinate, which allows us to determine the numerical value of the diagram efficiently and to an arbitrary accuracy. The imaginary part and the threshold behavior of the diagram are also handled within this framework.","authors_text":"N.E. Ligterink","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-11-19T15:11:06Z","title":"Solving multi-loop Feynman diagrams using light-front coordinates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9911411","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":"sha256:3f8b7cb42e13306d6f9e51aa30c25468a4cfc16640af4fff6930d0e4f51f178c","target":"record","created_at":"2026-07-04T16:14:34Z","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":"5d0b728cb7582478e242ddcf5b8234778e575c1b860db41a8f3f2e1ac76b3c41","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-11-19T15:11:06Z","title_canon_sha256":"795cba9ea79973b68e1e680956fbae1bcbf0ef207b89b4bce03ebb54cbf934d1"},"schema_version":"1.0","source":{"id":"hep-ph/9911411","kind":"arxiv","version":1}},"canonical_sha256":"6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b16841fa31cdf82dad77518fb7420a2482c9a935bb99cb277821cc9633090c0","first_computed_at":"2026-07-04T16:14:34.071759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:34.071759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dv4R/0ITyj1nYq/4efQJ0S2F4J3YRbDLK8ZUWzALxsH0LI1gGLDd1wbHI1A5o5a8yhedng1QaHOrECZIWgSDDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:34.072211Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9911411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f8b7cb42e13306d6f9e51aa30c25468a4cfc16640af4fff6930d0e4f51f178c","sha256:5be93441bd87f06b43dbb13f4afe0cd5f97115d7cd709ae93a78360eab5dcdfc"],"state_sha256":"367e01391190142128368e8eec1426da9512bb67705bb429807f325753323005"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oue/wwxWOtLFo0amySuX1shIrbqJOE+m/4gxKMvN+bockT/mU6enOweLHwNx+Ig9v7FiEfMAoLWJFrgu0kJNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T08:40:44.262083Z","bundle_sha256":"5283d871cacef559040cdc4a32b4a6f77414b48e069cb5fa8d8101afd756404b"}}