{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:5HTH5MJAHZNDR46F7E6HSN3RWX","short_pith_number":"pith:5HTH5MJA","canonical_record":{"source":{"id":"0707.1903","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-07-12T22:57:44Z","cross_cats_sorted":[],"title_canon_sha256":"677935cf8c469ea89adcb3adef82682dcf650ccb84da3febc93da90da299ddeb","abstract_canon_sha256":"7510e02f70432da14852c780d1b6b7c331923ba3cc4f1c2604ee888b5d9ab33c"},"schema_version":"1.0"},"canonical_sha256":"e9e67eb1203e5a38f3c5f93c793771b5d111d8b0ce862039d3dd784a99e387a1","source":{"kind":"arxiv","id":"0707.1903","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.1903","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"0707.1903v2","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.1903","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"5HTH5MJAHZND","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"pith_short_16","alias_value":"5HTH5MJAHZNDR46F","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"pith_short_8","alias_value":"5HTH5MJA","created_at":"2026-07-04T15:24:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:5HTH5MJAHZNDR46F7E6HSN3RWX","target":"record","payload":{"canonical_record":{"source":{"id":"0707.1903","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-07-12T22:57:44Z","cross_cats_sorted":[],"title_canon_sha256":"677935cf8c469ea89adcb3adef82682dcf650ccb84da3febc93da90da299ddeb","abstract_canon_sha256":"7510e02f70432da14852c780d1b6b7c331923ba3cc4f1c2604ee888b5d9ab33c"},"schema_version":"1.0"},"canonical_sha256":"e9e67eb1203e5a38f3c5f93c793771b5d111d8b0ce862039d3dd784a99e387a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:24:27.194114Z","signature_b64":"nezbJfgo4EOiI6yZWOgdDtAnB89tQKLdYU6t+ph8Fco190e2Vss7/2mxURuPEmXx9GwW8iB8WyaKIwC8w/BiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9e67eb1203e5a38f3c5f93c793771b5d111d8b0ce862039d3dd784a99e387a1","last_reissued_at":"2026-07-04T15:24:27.193721Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:24:27.193721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.1903","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":"2026-07-04T15:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKgfE37dCyTXKdyqMBM84B9RuzH7yZ8hx2rpS/FeHziZN1z9S0FSK0tfFPcDv4/ptLZejd1X/ynpWIUMUni8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:28:12.928703Z"},"content_sha256":"6a7baf25e6cb7d022a22b2cf3c8d826e71605787f0b3eb831c941f8f3804eaa1","schema_version":"1.0","event_id":"sha256:6a7baf25e6cb7d022a22b2cf3c8d826e71605787f0b3eb831c941f8f3804eaa1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:5HTH5MJAHZNDR46F7E6HSN3RWX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, Freddy Cachazo, Marcus Spradlin","submitted_at":"2007-07-12T22:57:44Z","abstract_excerpt":"We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions to extract this quantity from the 1/epsilon singularity in the four-gluon iterative relation at four loops, we find g^4 = -1240.9 with an estimated numerical uncertainty of 0.02%. We also analyze the implication of our result for the strong coupling behavior of g(lambda), finding support for the string theory prediction computed recently by Alday and Maldace"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.1903","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/0707.1903/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":"2026-07-04T15:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FvlsTWXfZee/6B1TJbFu7iMkxYiIFNjaNA80IkHX07zk2YR4h2EItYK1k+9E8w0mWjvwwyiuQaiyq3Izmwp/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:28:12.929204Z"},"content_sha256":"ed04f6e9b0ef3ea1aa788b1d5baeff6bf855e0cd5c17f3f5e386ac569387b951","schema_version":"1.0","event_id":"sha256:ed04f6e9b0ef3ea1aa788b1d5baeff6bf855e0cd5c17f3f5e386ac569387b951"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5HTH5MJAHZNDR46F7E6HSN3RWX/bundle.json","state_url":"https://pith.science/pith/5HTH5MJAHZNDR46F7E6HSN3RWX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5HTH5MJAHZNDR46F7E6HSN3RWX/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":"2026-08-04T18:28:12Z","links":{"resolver":"https://pith.science/pith/5HTH5MJAHZNDR46F7E6HSN3RWX","bundle":"https://pith.science/pith/5HTH5MJAHZNDR46F7E6HSN3RWX/bundle.json","state":"https://pith.science/pith/5HTH5MJAHZNDR46F7E6HSN3RWX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5HTH5MJAHZNDR46F7E6HSN3RWX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:5HTH5MJAHZNDR46F7E6HSN3RWX","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":"7510e02f70432da14852c780d1b6b7c331923ba3cc4f1c2604ee888b5d9ab33c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-07-12T22:57:44Z","title_canon_sha256":"677935cf8c469ea89adcb3adef82682dcf650ccb84da3febc93da90da299ddeb"},"schema_version":"1.0","source":{"id":"0707.1903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.1903","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"0707.1903v2","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.1903","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"5HTH5MJAHZND","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"pith_short_16","alias_value":"5HTH5MJAHZNDR46F","created_at":"2026-07-04T15:24:27Z"},{"alias_kind":"pith_short_8","alias_value":"5HTH5MJA","created_at":"2026-07-04T15:24:27Z"}],"graph_snapshots":[{"event_id":"sha256:ed04f6e9b0ef3ea1aa788b1d5baeff6bf855e0cd5c17f3f5e386ac569387b951","target":"graph","created_at":"2026-07-04T15:24:27Z","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/0707.1903/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions to extract this quantity from the 1/epsilon singularity in the four-gluon iterative relation at four loops, we find g^4 = -1240.9 with an estimated numerical uncertainty of 0.02%. We also analyze the implication of our result for the strong coupling behavior of g(lambda), finding support for the string theory prediction computed recently by Alday and Maldace","authors_text":"Anastasia Volovich, Freddy Cachazo, Marcus Spradlin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-07-12T22:57:44Z","title":"Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.1903","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":"sha256:6a7baf25e6cb7d022a22b2cf3c8d826e71605787f0b3eb831c941f8f3804eaa1","target":"record","created_at":"2026-07-04T15:24:27Z","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":"7510e02f70432da14852c780d1b6b7c331923ba3cc4f1c2604ee888b5d9ab33c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-07-12T22:57:44Z","title_canon_sha256":"677935cf8c469ea89adcb3adef82682dcf650ccb84da3febc93da90da299ddeb"},"schema_version":"1.0","source":{"id":"0707.1903","kind":"arxiv","version":2}},"canonical_sha256":"e9e67eb1203e5a38f3c5f93c793771b5d111d8b0ce862039d3dd784a99e387a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9e67eb1203e5a38f3c5f93c793771b5d111d8b0ce862039d3dd784a99e387a1","first_computed_at":"2026-07-04T15:24:27.193721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:24:27.193721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nezbJfgo4EOiI6yZWOgdDtAnB89tQKLdYU6t+ph8Fco190e2Vss7/2mxURuPEmXx9GwW8iB8WyaKIwC8w/BiAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:24:27.194114Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.1903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a7baf25e6cb7d022a22b2cf3c8d826e71605787f0b3eb831c941f8f3804eaa1","sha256:ed04f6e9b0ef3ea1aa788b1d5baeff6bf855e0cd5c17f3f5e386ac569387b951"],"state_sha256":"22695de67be26916c9195ef150ac20b04d91771d49025ac2faaa8f2a610f3e94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hIT9iW07OgMQSATWtPYykObkZTMyHGX70VxnIiweANStemA9Gl6iOO/7PvCfrMX9Js05VLmtIK8gFCY8j21FDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:28:12.933334Z","bundle_sha256":"5d0be94838b6566253cddacba804c41453902726913940f4fd242e83dc99a268"}}