{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AU4XIVYMVZMIPR27HSRTHNGC6T","short_pith_number":"pith:AU4XIVYM","canonical_record":{"source":{"id":"2405.13286","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-05-22T01:56:57Z","cross_cats_sorted":[],"title_canon_sha256":"749c96151d0385141605013f9a7662894455d75401a1aa909f947ecfc4d82b94","abstract_canon_sha256":"9cce91fb0f7a8fc6a302c37feb762d487e4c1ba8f0a952893db055d83563441b"},"schema_version":"1.0"},"canonical_sha256":"053974570cae5887c75f3ca333b4c2f4c143766e8d618561391cc4f6050ec128","source":{"kind":"arxiv","id":"2405.13286","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.13286","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"arxiv_version","alias_value":"2405.13286v2","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.13286","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"pith_short_12","alias_value":"AU4XIVYMVZMI","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"pith_short_16","alias_value":"AU4XIVYMVZMIPR27","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"pith_short_8","alias_value":"AU4XIVYM","created_at":"2026-07-05T09:13:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AU4XIVYMVZMIPR27HSRTHNGC6T","target":"record","payload":{"canonical_record":{"source":{"id":"2405.13286","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-05-22T01:56:57Z","cross_cats_sorted":[],"title_canon_sha256":"749c96151d0385141605013f9a7662894455d75401a1aa909f947ecfc4d82b94","abstract_canon_sha256":"9cce91fb0f7a8fc6a302c37feb762d487e4c1ba8f0a952893db055d83563441b"},"schema_version":"1.0"},"canonical_sha256":"053974570cae5887c75f3ca333b4c2f4c143766e8d618561391cc4f6050ec128","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:13:02.914988Z","signature_b64":"E/nmb1CgD29bGuK3weCA8FCuMk0s/pQeVGr+0S7S+njMfcDTpg2y8PaF3aAXLRQWM3A+C9PD1mMUToVqpuecBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"053974570cae5887c75f3ca333b4c2f4c143766e8d618561391cc4f6050ec128","last_reissued_at":"2026-07-05T09:13:02.914482Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:13:02.914482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.13286","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":"2026-07-05T09:13:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HUqzKkxDLupWlYCtX+HJvwje882fILqk8NX5uV9kLUCC2w3sTYMCPH2KRFf7TSAS6sFvzlWUNzE42Q6u0/WUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:00:18.829199Z"},"content_sha256":"b8205d2da62760a4002900706d4661187d1282646c6ea2966666c44cbb798160","schema_version":"1.0","event_id":"sha256:b8205d2da62760a4002900706d4661187d1282646c6ea2966666c44cbb798160"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AU4XIVYMVZMIPR27HSRTHNGC6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Elise de Doncker, Fukuko Yuasa, Kiyoshi Kato, Tadashi Ishikawa","submitted_at":"2024-05-22T01:56:57Z","abstract_excerpt":"Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.13286","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/2405.13286/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":"2026-07-05T09:13:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VfzFeM7lL6JXtpZEkYAUy5lEiry6F/1ZN011emsYKkrzxoRMo9UzVO3Wynmbiv+APBaAZhVHgRNbRAUUBKIGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:00:18.829566Z"},"content_sha256":"27d0f543dbc6c49c1828a030a978db9320d118bdf621e7bfe2cf7b53c3c380aa","schema_version":"1.0","event_id":"sha256:27d0f543dbc6c49c1828a030a978db9320d118bdf621e7bfe2cf7b53c3c380aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AU4XIVYMVZMIPR27HSRTHNGC6T/bundle.json","state_url":"https://pith.science/pith/AU4XIVYMVZMIPR27HSRTHNGC6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AU4XIVYMVZMIPR27HSRTHNGC6T/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":"2026-08-14T03:00:18Z","links":{"resolver":"https://pith.science/pith/AU4XIVYMVZMIPR27HSRTHNGC6T","bundle":"https://pith.science/pith/AU4XIVYMVZMIPR27HSRTHNGC6T/bundle.json","state":"https://pith.science/pith/AU4XIVYMVZMIPR27HSRTHNGC6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AU4XIVYMVZMIPR27HSRTHNGC6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AU4XIVYMVZMIPR27HSRTHNGC6T","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":"9cce91fb0f7a8fc6a302c37feb762d487e4c1ba8f0a952893db055d83563441b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-05-22T01:56:57Z","title_canon_sha256":"749c96151d0385141605013f9a7662894455d75401a1aa909f947ecfc4d82b94"},"schema_version":"1.0","source":{"id":"2405.13286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.13286","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"arxiv_version","alias_value":"2405.13286v2","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.13286","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"pith_short_12","alias_value":"AU4XIVYMVZMI","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"pith_short_16","alias_value":"AU4XIVYMVZMIPR27","created_at":"2026-07-05T09:13:02Z"},{"alias_kind":"pith_short_8","alias_value":"AU4XIVYM","created_at":"2026-07-05T09:13:02Z"}],"graph_snapshots":[{"event_id":"sha256:27d0f543dbc6c49c1828a030a978db9320d118bdf621e7bfe2cf7b53c3c380aa","target":"graph","created_at":"2026-07-05T09:13:02Z","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/2405.13286/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.","authors_text":"Elise de Doncker, Fukuko Yuasa, Kiyoshi Kato, Tadashi Ishikawa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-05-22T01:56:57Z","title":"Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.13286","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:b8205d2da62760a4002900706d4661187d1282646c6ea2966666c44cbb798160","target":"record","created_at":"2026-07-05T09:13:02Z","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":"9cce91fb0f7a8fc6a302c37feb762d487e4c1ba8f0a952893db055d83563441b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-05-22T01:56:57Z","title_canon_sha256":"749c96151d0385141605013f9a7662894455d75401a1aa909f947ecfc4d82b94"},"schema_version":"1.0","source":{"id":"2405.13286","kind":"arxiv","version":2}},"canonical_sha256":"053974570cae5887c75f3ca333b4c2f4c143766e8d618561391cc4f6050ec128","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"053974570cae5887c75f3ca333b4c2f4c143766e8d618561391cc4f6050ec128","first_computed_at":"2026-07-05T09:13:02.914482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:13:02.914482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E/nmb1CgD29bGuK3weCA8FCuMk0s/pQeVGr+0S7S+njMfcDTpg2y8PaF3aAXLRQWM3A+C9PD1mMUToVqpuecBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:13:02.914988Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.13286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8205d2da62760a4002900706d4661187d1282646c6ea2966666c44cbb798160","sha256:27d0f543dbc6c49c1828a030a978db9320d118bdf621e7bfe2cf7b53c3c380aa"],"state_sha256":"e2412522db8c67003511cfca448898ecd8ab486a5cab75714552b51cd552fc86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kouq3l4l/MAk1XqUGnuAv3Vh8q/hiiT+y6XhfcOzNUVxvMNZFvq4PXVzGLzEIFey83abvXLBqSGEAW3khG4MDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T03:00:18.832639Z","bundle_sha256":"de37371001c98093a942be338c5025b0424310c55462bd6b5394cdc9be7f275b"}}