{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:BPLY7HIJXZBPE3YE2XNMYOYHZZ","short_pith_number":"pith:BPLY7HIJ","canonical_record":{"source":{"id":"hep-ph/0503070","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T23:07:49Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"a60cdfce5bd8baab31e8484ef45a63558332d329f24042e36ab6499036dbd9b3","abstract_canon_sha256":"d2c36af126f4276ebd42459c4b60e2340586a8cb784a4bd33b34cfa5756f0f7f"},"schema_version":"1.0"},"canonical_sha256":"0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09","source":{"kind":"arxiv","id":"hep-ph/0503070","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0503070","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0503070v3","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0503070","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"BPLY7HIJXZBP","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"pith_short_16","alias_value":"BPLY7HIJXZBPE3YE","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"pith_short_8","alias_value":"BPLY7HIJ","created_at":"2026-07-04T17:24:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:BPLY7HIJXZBPE3YE2XNMYOYHZZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0503070","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T23:07:49Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"a60cdfce5bd8baab31e8484ef45a63558332d329f24042e36ab6499036dbd9b3","abstract_canon_sha256":"d2c36af126f4276ebd42459c4b60e2340586a8cb784a4bd33b34cfa5756f0f7f"},"schema_version":"1.0"},"canonical_sha256":"0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:38.941883Z","signature_b64":"Z5MNqr74p4EBFwsLXmhB5pHs6AYRyZkOF+9h1uTSVKnJaL2h+Za+n+JDKjTKXWzmKNZcZqpQRcwU/0xn8rXACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09","last_reissued_at":"2026-07-04T17:24:38.941432Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:38.941432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0503070","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"10GE+nv3wyFsaya+p7bgQI6GSoiAmr9vW4lZgSJR05kPdl4NOyL4MMR3ulfSEqLsoD3l3dM2WDzOrMojJnPfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:13:48.290480Z"},"content_sha256":"b9da18cb8640a57dbfae8bf423fb88c1c9b6c7b9d598ba5d54e5cf528c3a80d8","schema_version":"1.0","event_id":"sha256:b9da18cb8640a57dbfae8bf423fb88c1c9b6c7b9d598ba5d54e5cf528c3a80d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:BPLY7HIJXZBPE3YE2XNMYOYHZZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"About higher order epsilon-expansion of some massive two- and three-loop master-integrals","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"hep-ph","authors_text":"Dubna), M.Yu.Kalmykov (Baylor U. & JINR","submitted_at":"2005-03-07T23:07:49Z","abstract_excerpt":"For certain dimensionally-regulated massive two- and three-loop propagator-type diagrams the higher order epsilon-expansion is constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0503070","kind":"arxiv","version":3},"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/0503070/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":"2026-07-04T17:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wR+aVYVZYL+31hOqa/rfJyQ/28LVLINiNtV9Ux6LIRKr3a7ZQQrzSkfOUKieslH/u1odrry/hZ4uvt+FGrD1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:13:48.291008Z"},"content_sha256":"d453fca40fe198a24490dd5dd36f1f9e0c323373c5963b267cac8c95a716ea39","schema_version":"1.0","event_id":"sha256:d453fca40fe198a24490dd5dd36f1f9e0c323373c5963b267cac8c95a716ea39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ/bundle.json","state_url":"https://pith.science/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ/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":"2026-08-17T09:13:48Z","links":{"resolver":"https://pith.science/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ","bundle":"https://pith.science/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ/bundle.json","state":"https://pith.science/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BPLY7HIJXZBPE3YE2XNMYOYHZZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:BPLY7HIJXZBPE3YE2XNMYOYHZZ","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":"d2c36af126f4276ebd42459c4b60e2340586a8cb784a4bd33b34cfa5756f0f7f","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T23:07:49Z","title_canon_sha256":"a60cdfce5bd8baab31e8484ef45a63558332d329f24042e36ab6499036dbd9b3"},"schema_version":"1.0","source":{"id":"hep-ph/0503070","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0503070","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0503070v3","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0503070","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"BPLY7HIJXZBP","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"pith_short_16","alias_value":"BPLY7HIJXZBPE3YE","created_at":"2026-07-04T17:24:38Z"},{"alias_kind":"pith_short_8","alias_value":"BPLY7HIJ","created_at":"2026-07-04T17:24:38Z"}],"graph_snapshots":[{"event_id":"sha256:d453fca40fe198a24490dd5dd36f1f9e0c323373c5963b267cac8c95a716ea39","target":"graph","created_at":"2026-07-04T17:24:38Z","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/0503070/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For certain dimensionally-regulated massive two- and three-loop propagator-type diagrams the higher order epsilon-expansion is constructed.","authors_text":"Dubna), M.Yu.Kalmykov (Baylor U. & JINR","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T23:07:49Z","title":"About higher order epsilon-expansion of some massive two- and three-loop master-integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0503070","kind":"arxiv","version":3},"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:b9da18cb8640a57dbfae8bf423fb88c1c9b6c7b9d598ba5d54e5cf528c3a80d8","target":"record","created_at":"2026-07-04T17:24:38Z","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":"d2c36af126f4276ebd42459c4b60e2340586a8cb784a4bd33b34cfa5756f0f7f","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T23:07:49Z","title_canon_sha256":"a60cdfce5bd8baab31e8484ef45a63558332d329f24042e36ab6499036dbd9b3"},"schema_version":"1.0","source":{"id":"hep-ph/0503070","kind":"arxiv","version":3}},"canonical_sha256":"0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09","first_computed_at":"2026-07-04T17:24:38.941432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:38.941432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z5MNqr74p4EBFwsLXmhB5pHs6AYRyZkOF+9h1uTSVKnJaL2h+Za+n+JDKjTKXWzmKNZcZqpQRcwU/0xn8rXACQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:38.941883Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0503070","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9da18cb8640a57dbfae8bf423fb88c1c9b6c7b9d598ba5d54e5cf528c3a80d8","sha256:d453fca40fe198a24490dd5dd36f1f9e0c323373c5963b267cac8c95a716ea39"],"state_sha256":"3e277c71681bb8b2a33382a5dbf66fc4383ff888995c52ff49cff315fc1b67d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7wL4Wmz1qiL/fbkqOfjNpEXX6AKC5oI1qWoOmvOd0qtBp5VYhs4hNPL11bt0EhTjmlNoPePSk4QHbvAbfJiAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T09:13:48.295583Z","bundle_sha256":"71b1400207f038e6aa28babb4a4f5835e5823d9759c02c50a034afa290382646"}}