{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:UBVTE6W3FT7S4H5AYNZ4SZMCJ3","short_pith_number":"pith:UBVTE6W3","canonical_record":{"source":{"id":"hep-ph/9604333","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-04-16T16:36:40Z","cross_cats_sorted":[],"title_canon_sha256":"78fa7991f3303e62c196d0ec1107a028b12dced7d7019f03c56f1f30816d6ece","abstract_canon_sha256":"7f60a29cc6e95bf7c5ed708da9d18e8073e92fde0be16e1df987dfeaa5fed874"},"schema_version":"1.0"},"canonical_sha256":"a06b327adb2cff2e1fa0c373c965824ecf4e155991120daad023440c7ca43e68","source":{"kind":"arxiv","id":"hep-ph/9604333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9604333","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9604333v1","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9604333","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"pith_short_12","alias_value":"UBVTE6W3FT7S","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"pith_short_16","alias_value":"UBVTE6W3FT7S4H5A","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"pith_short_8","alias_value":"UBVTE6W3","created_at":"2026-07-04T16:01:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:UBVTE6W3FT7S4H5AYNZ4SZMCJ3","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9604333","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-04-16T16:36:40Z","cross_cats_sorted":[],"title_canon_sha256":"78fa7991f3303e62c196d0ec1107a028b12dced7d7019f03c56f1f30816d6ece","abstract_canon_sha256":"7f60a29cc6e95bf7c5ed708da9d18e8073e92fde0be16e1df987dfeaa5fed874"},"schema_version":"1.0"},"canonical_sha256":"a06b327adb2cff2e1fa0c373c965824ecf4e155991120daad023440c7ca43e68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:01:32.834301Z","signature_b64":"XGus1kTuCjn9dGcba8DAEassAdegfpvPhdiTmkgoHi6GlboFzrJKci3UX+P9GhpvjU61SieyVxoRegATO0+4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a06b327adb2cff2e1fa0c373c965824ecf4e155991120daad023440c7ca43e68","last_reissued_at":"2026-07-04T16:01:32.833954Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:01:32.833954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9604333","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":"2026-07-04T16:01:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cjnnbUH+eFJ/GvkuzVCCpHaMkSzEAHPxL5KLLDo1sLzvE5uiNi64iZdec2r50RntL/5EhWbjmkBRbxwfBw7hDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T06:21:54.941590Z"},"content_sha256":"61fa0ae5dfada46b51ecc9133ae867dfe12aed83c0f1c049d5466f56e0009c67","schema_version":"1.0","event_id":"sha256:61fa0ae5dfada46b51ecc9133ae867dfe12aed83c0f1c049d5466f56e0009c67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:UBVTE6W3FT7S4H5AYNZ4SZMCJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the evaluation of three--loop scalar integrals in the massive case","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Adrian Ghinculov","submitted_at":"1996-04-16T16:36:40Z","abstract_excerpt":"I describe a method to calculate a class of three-loop selfenergy diagrams for arbitrary internal masses and external momentum. This method combines analytical results and numerical integration, and is suitable for implementation in a computer program to produce fast and accurate results. For the class of Feynman diagrams considered in this paper this method leads to a two-fold integral which needs to be evaluated numerically. Results are given for a range of masses and external momentum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9604333","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/9604333/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":"2026-07-04T16:01:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uvMTrno5KTrV825PSEDugm6xTFyQowm2BsHsLPL4h95Uc4QYw1fGLba6FhY33yeYLiOSgADmfpUrscx68ruEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T06:21:54.942081Z"},"content_sha256":"6cbacd1a98aee650e09f0d2d58b81fcca214bfb6ebce734188320e211f703384","schema_version":"1.0","event_id":"sha256:6cbacd1a98aee650e09f0d2d58b81fcca214bfb6ebce734188320e211f703384"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3/bundle.json","state_url":"https://pith.science/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3/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":"2026-08-15T06:21:54Z","links":{"resolver":"https://pith.science/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3","bundle":"https://pith.science/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3/bundle.json","state":"https://pith.science/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBVTE6W3FT7S4H5AYNZ4SZMCJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:UBVTE6W3FT7S4H5AYNZ4SZMCJ3","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":"7f60a29cc6e95bf7c5ed708da9d18e8073e92fde0be16e1df987dfeaa5fed874","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1996-04-16T16:36:40Z","title_canon_sha256":"78fa7991f3303e62c196d0ec1107a028b12dced7d7019f03c56f1f30816d6ece"},"schema_version":"1.0","source":{"id":"hep-ph/9604333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9604333","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9604333v1","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9604333","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"pith_short_12","alias_value":"UBVTE6W3FT7S","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"pith_short_16","alias_value":"UBVTE6W3FT7S4H5A","created_at":"2026-07-04T16:01:32Z"},{"alias_kind":"pith_short_8","alias_value":"UBVTE6W3","created_at":"2026-07-04T16:01:32Z"}],"graph_snapshots":[{"event_id":"sha256:6cbacd1a98aee650e09f0d2d58b81fcca214bfb6ebce734188320e211f703384","target":"graph","created_at":"2026-07-04T16:01:32Z","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/9604333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I describe a method to calculate a class of three-loop selfenergy diagrams for arbitrary internal masses and external momentum. This method combines analytical results and numerical integration, and is suitable for implementation in a computer program to produce fast and accurate results. For the class of Feynman diagrams considered in this paper this method leads to a two-fold integral which needs to be evaluated numerically. Results are given for a range of masses and external momentum.","authors_text":"Adrian Ghinculov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1996-04-16T16:36:40Z","title":"On the evaluation of three--loop scalar integrals in the massive case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9604333","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":"sha256:61fa0ae5dfada46b51ecc9133ae867dfe12aed83c0f1c049d5466f56e0009c67","target":"record","created_at":"2026-07-04T16:01:32Z","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":"7f60a29cc6e95bf7c5ed708da9d18e8073e92fde0be16e1df987dfeaa5fed874","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1996-04-16T16:36:40Z","title_canon_sha256":"78fa7991f3303e62c196d0ec1107a028b12dced7d7019f03c56f1f30816d6ece"},"schema_version":"1.0","source":{"id":"hep-ph/9604333","kind":"arxiv","version":1}},"canonical_sha256":"a06b327adb2cff2e1fa0c373c965824ecf4e155991120daad023440c7ca43e68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a06b327adb2cff2e1fa0c373c965824ecf4e155991120daad023440c7ca43e68","first_computed_at":"2026-07-04T16:01:32.833954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:01:32.833954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XGus1kTuCjn9dGcba8DAEassAdegfpvPhdiTmkgoHi6GlboFzrJKci3UX+P9GhpvjU61SieyVxoRegATO0+4Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:01:32.834301Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9604333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61fa0ae5dfada46b51ecc9133ae867dfe12aed83c0f1c049d5466f56e0009c67","sha256:6cbacd1a98aee650e09f0d2d58b81fcca214bfb6ebce734188320e211f703384"],"state_sha256":"9bd1d27bd40f3c8ea1e3e7eba11ad29528d8400896a19af8eb4cd110e8c0adeb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMz3+NDHC1oEnGb9ATqt/c3QjjhimtDPvGp8PZKsLz59I4eUdeZyGSmy+hKaCOwE3QvOoTpExoRuj6wQsYfCAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T06:21:54.945194Z","bundle_sha256":"8c57ef95d7d99eb3bacf49a2c3aad76fd7eeb4fc5df8ba0d08ae125c42fb9b36"}}