{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:XIMAWMOLLX5ZB5YDCTCERWVHMF","short_pith_number":"pith:XIMAWMOL","canonical_record":{"source":{"id":"hep-ph/0207091","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-07-05T17:02:07Z","cross_cats_sorted":[],"title_canon_sha256":"877120f5a2dc3525391a169fca88cc5c537b5864f87b2d3a79e14a251c8d7af7","abstract_canon_sha256":"9c8fb4453d5da7352345d69af50074a6c8b9ea722d6738278e15c34a63e04612"},"schema_version":"1.0"},"canonical_sha256":"ba180b31cb5dfb90f70314c448daa7617e8ca53b55cd06e5351be5f9278bb982","source":{"kind":"arxiv","id":"hep-ph/0207091","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0207091","created_at":"2026-05-18T01:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0207091v1","created_at":"2026-05-18T01:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0207091","created_at":"2026-05-18T01:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"XIMAWMOLLX5Z","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XIMAWMOLLX5ZB5YD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XIMAWMOL","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:XIMAWMOLLX5ZB5YDCTCERWVHMF","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0207091","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-07-05T17:02:07Z","cross_cats_sorted":[],"title_canon_sha256":"877120f5a2dc3525391a169fca88cc5c537b5864f87b2d3a79e14a251c8d7af7","abstract_canon_sha256":"9c8fb4453d5da7352345d69af50074a6c8b9ea722d6738278e15c34a63e04612"},"schema_version":"1.0"},"canonical_sha256":"ba180b31cb5dfb90f70314c448daa7617e8ca53b55cd06e5351be5f9278bb982","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:07.152704Z","signature_b64":"rWCfhy0uQsbI+BC5CTJCFeMKJ+4NjE4koa2ZZTwcWa1Y5Xxr83Jz4uGcyma6n+BKS0DgfUQiKO4jYE0EQMmvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba180b31cb5dfb90f70314c448daa7617e8ca53b55cd06e5351be5f9278bb982","last_reissued_at":"2026-05-18T01:39:07.152213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:07.152213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0207091","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":"2026-05-18T01:39:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ix5YLTsOaSLFkXTiSSp9Rv7t+LxDZkD5Y5TD87gbiS/6U93BCtw29UG3YZTy/ViYIpk4PdtCMgwlaJp6u+cSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:18:44.330040Z"},"content_sha256":"88d3c84bc4ce1e717ea30c035a9bae615117decb65aef4f10a18ba76fb791f95","schema_version":"1.0","event_id":"sha256:88d3c84bc4ce1e717ea30c035a9bae615117decb65aef4f10a18ba76fb791f95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:XIMAWMOLLX5ZB5YDCTCERWVHMF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Special case of sunset: reduction and epsilon-expansion","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.Onishchenko, O.Veretin","submitted_at":"2002-07-05T17:02:07Z","abstract_excerpt":"We consider two loop sunset diagrams with two mass scales m and M at the threshold and pseudotreshold that cannot be treated by earlier published formula. The complete reduction to master integrals is given. The master integrals are evaluated as series in ratio m/M and in epsilon with the help of differential equation method. The rules of asymptotic expansion in the case when q^2 is at the (pseudo)threshold are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0207091","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":""},"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":"2026-05-18T01:39:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8DBgrLFsveNY5iHtroB5fVrAniEo5L8BSxhqW8BTzGIZu7w22OJly4vMrFxIz/D1Vbnnm+yYeA/43BHd6l0aDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:18:44.330385Z"},"content_sha256":"fcaf389f731ff004d0b0ae449e6835e733e3a91d59003915e527f62b722fa8fa","schema_version":"1.0","event_id":"sha256:fcaf389f731ff004d0b0ae449e6835e733e3a91d59003915e527f62b722fa8fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF/bundle.json","state_url":"https://pith.science/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF/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":"2026-06-28T16:18:44Z","links":{"resolver":"https://pith.science/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF","bundle":"https://pith.science/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF/bundle.json","state":"https://pith.science/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIMAWMOLLX5ZB5YDCTCERWVHMF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:XIMAWMOLLX5ZB5YDCTCERWVHMF","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":"9c8fb4453d5da7352345d69af50074a6c8b9ea722d6738278e15c34a63e04612","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-07-05T17:02:07Z","title_canon_sha256":"877120f5a2dc3525391a169fca88cc5c537b5864f87b2d3a79e14a251c8d7af7"},"schema_version":"1.0","source":{"id":"hep-ph/0207091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0207091","created_at":"2026-05-18T01:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0207091v1","created_at":"2026-05-18T01:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0207091","created_at":"2026-05-18T01:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"XIMAWMOLLX5Z","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XIMAWMOLLX5ZB5YD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XIMAWMOL","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:fcaf389f731ff004d0b0ae449e6835e733e3a91d59003915e527f62b722fa8fa","target":"graph","created_at":"2026-05-18T01:39:07Z","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"},"paper":{"abstract_excerpt":"We consider two loop sunset diagrams with two mass scales m and M at the threshold and pseudotreshold that cannot be treated by earlier published formula. The complete reduction to master integrals is given. The master integrals are evaluated as series in ratio m/M and in epsilon with the help of differential equation method. The rules of asymptotic expansion in the case when q^2 is at the (pseudo)threshold are given.","authors_text":"A.Onishchenko, O.Veretin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-07-05T17:02:07Z","title":"Special case of sunset: reduction and epsilon-expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0207091","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":"sha256:88d3c84bc4ce1e717ea30c035a9bae615117decb65aef4f10a18ba76fb791f95","target":"record","created_at":"2026-05-18T01:39:07Z","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":"9c8fb4453d5da7352345d69af50074a6c8b9ea722d6738278e15c34a63e04612","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-07-05T17:02:07Z","title_canon_sha256":"877120f5a2dc3525391a169fca88cc5c537b5864f87b2d3a79e14a251c8d7af7"},"schema_version":"1.0","source":{"id":"hep-ph/0207091","kind":"arxiv","version":1}},"canonical_sha256":"ba180b31cb5dfb90f70314c448daa7617e8ca53b55cd06e5351be5f9278bb982","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba180b31cb5dfb90f70314c448daa7617e8ca53b55cd06e5351be5f9278bb982","first_computed_at":"2026-05-18T01:39:07.152213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:07.152213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rWCfhy0uQsbI+BC5CTJCFeMKJ+4NjE4koa2ZZTwcWa1Y5Xxr83Jz4uGcyma6n+BKS0DgfUQiKO4jYE0EQMmvAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:07.152704Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0207091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88d3c84bc4ce1e717ea30c035a9bae615117decb65aef4f10a18ba76fb791f95","sha256:fcaf389f731ff004d0b0ae449e6835e733e3a91d59003915e527f62b722fa8fa"],"state_sha256":"a3da82875154585d184dc177b71a41a92bc0767583b907b226a99efcef0c6854"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NLwOyfgMQjlnW+OIifYb8nvcTC3WAZMPLr97GN0uatWndhs6JR63F4tdGNJUxv1q+yxk/vR1BvosWjh5Bh13BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T16:18:44.332454Z","bundle_sha256":"fdf1dc0e2de7e4d95fbd597381fdb50bc1ddf69b3ec85c8094539cb3a43c3d62"}}