{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:6JDZGOKCWSBOKGU2BIMZARGD2O","short_pith_number":"pith:6JDZGOKC","canonical_record":{"source":{"id":"2211.03668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-07T16:27:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"32ed7325d90bdbb46f09582b627e3f8cbc2c0dfb68b3a7dbe81feb94fabfe567","abstract_canon_sha256":"3b38e73ee80d8b6c3257918b7c301368304574662321a77af6345b5e9fb48e62"},"schema_version":"1.0"},"canonical_sha256":"f247933942b482e51a9a0a199044c3d383898a8de092bf9402627aa2872d8450","source":{"kind":"arxiv","id":"2211.03668","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.03668","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"arxiv_version","alias_value":"2211.03668v1","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.03668","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"pith_short_12","alias_value":"6JDZGOKCWSBO","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"pith_short_16","alias_value":"6JDZGOKCWSBOKGU2","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"pith_short_8","alias_value":"6JDZGOKC","created_at":"2026-07-05T05:46:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:6JDZGOKCWSBOKGU2BIMZARGD2O","target":"record","payload":{"canonical_record":{"source":{"id":"2211.03668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-07T16:27:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"32ed7325d90bdbb46f09582b627e3f8cbc2c0dfb68b3a7dbe81feb94fabfe567","abstract_canon_sha256":"3b38e73ee80d8b6c3257918b7c301368304574662321a77af6345b5e9fb48e62"},"schema_version":"1.0"},"canonical_sha256":"f247933942b482e51a9a0a199044c3d383898a8de092bf9402627aa2872d8450","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:46:27.859711Z","signature_b64":"cG0bDhd0sdSziGY+dyhu7E/HRp89xr7j/9rGyU4NIXBkawQnRw8fVJqZV9KrzocEGIjRWC/NZmR9wNCjyeXxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f247933942b482e51a9a0a199044c3d383898a8de092bf9402627aa2872d8450","last_reissued_at":"2026-07-05T05:46:27.859275Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:46:27.859275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.03668","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":"2026-07-05T05:46:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0u8EFwPdpFvqJSwW9axnbsY48M+kT9uRfMWf+wuVqQZy/FvLwcgzNFIdiApr9/OfNRagfYNBbknugreBZCLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:49:41.887621Z"},"content_sha256":"bf405c5e8ccf127292ede4e6e8b1e273cd3f7afa99d40c4091bbed6cc14c8f4c","schema_version":"1.0","event_id":"sha256:bf405c5e8ccf127292ede4e6e8b1e273cd3f7afa99d40c4091bbed6cc14c8f4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:6JDZGOKCWSBOKGU2BIMZARGD2O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four-loop HQET propagators from the DRA method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Andrey F. Pikelner, Roman N. Lee","submitted_at":"2022-11-07T16:27:02Z","abstract_excerpt":"We use dimensional recurrence relations and analyticity to calculate four-loop propagator-type master integrals in the heavy-quark effective theory. Compared to previous applications of the DRA method, we apply a new technique of fixing homogeneous solutions from pole parts of integrals evaluated in different rational space-time dimension points. The latter were calculated from the integration-by-parts reduction of finite integrals in shifted space-time dimension and/or with increased propagators powers. We provide results for epsilon expansions of master integrals near $d = 4$ and $d = 3$ usi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.03668","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/2211.03668/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":"2026-07-05T05:46:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lfs9hqEoA/KhqpV3rj+WP+DreVMsYNnbEiGRC5nfwBVGzJWEtXcX+V5hNLwhURsjbGXu/S9SAKDs3VUg3weXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:49:41.887996Z"},"content_sha256":"b14c6afc7d5dd412c89c5f028d8f5c31d4e5b6c7792dd2687bc927cf481a2d08","schema_version":"1.0","event_id":"sha256:b14c6afc7d5dd412c89c5f028d8f5c31d4e5b6c7792dd2687bc927cf481a2d08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6JDZGOKCWSBOKGU2BIMZARGD2O/bundle.json","state_url":"https://pith.science/pith/6JDZGOKCWSBOKGU2BIMZARGD2O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6JDZGOKCWSBOKGU2BIMZARGD2O/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":"2026-08-13T11:49:41Z","links":{"resolver":"https://pith.science/pith/6JDZGOKCWSBOKGU2BIMZARGD2O","bundle":"https://pith.science/pith/6JDZGOKCWSBOKGU2BIMZARGD2O/bundle.json","state":"https://pith.science/pith/6JDZGOKCWSBOKGU2BIMZARGD2O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6JDZGOKCWSBOKGU2BIMZARGD2O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:6JDZGOKCWSBOKGU2BIMZARGD2O","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":"3b38e73ee80d8b6c3257918b7c301368304574662321a77af6345b5e9fb48e62","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-07T16:27:02Z","title_canon_sha256":"32ed7325d90bdbb46f09582b627e3f8cbc2c0dfb68b3a7dbe81feb94fabfe567"},"schema_version":"1.0","source":{"id":"2211.03668","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.03668","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"arxiv_version","alias_value":"2211.03668v1","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.03668","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"pith_short_12","alias_value":"6JDZGOKCWSBO","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"pith_short_16","alias_value":"6JDZGOKCWSBOKGU2","created_at":"2026-07-05T05:46:27Z"},{"alias_kind":"pith_short_8","alias_value":"6JDZGOKC","created_at":"2026-07-05T05:46:27Z"}],"graph_snapshots":[{"event_id":"sha256:b14c6afc7d5dd412c89c5f028d8f5c31d4e5b6c7792dd2687bc927cf481a2d08","target":"graph","created_at":"2026-07-05T05:46:27Z","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/2211.03668/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use dimensional recurrence relations and analyticity to calculate four-loop propagator-type master integrals in the heavy-quark effective theory. Compared to previous applications of the DRA method, we apply a new technique of fixing homogeneous solutions from pole parts of integrals evaluated in different rational space-time dimension points. The latter were calculated from the integration-by-parts reduction of finite integrals in shifted space-time dimension and/or with increased propagators powers. We provide results for epsilon expansions of master integrals near $d = 4$ and $d = 3$ usi","authors_text":"Andrey F. Pikelner, Roman N. Lee","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-07T16:27:02Z","title":"Four-loop HQET propagators from the DRA method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.03668","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:bf405c5e8ccf127292ede4e6e8b1e273cd3f7afa99d40c4091bbed6cc14c8f4c","target":"record","created_at":"2026-07-05T05:46:27Z","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":"3b38e73ee80d8b6c3257918b7c301368304574662321a77af6345b5e9fb48e62","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-07T16:27:02Z","title_canon_sha256":"32ed7325d90bdbb46f09582b627e3f8cbc2c0dfb68b3a7dbe81feb94fabfe567"},"schema_version":"1.0","source":{"id":"2211.03668","kind":"arxiv","version":1}},"canonical_sha256":"f247933942b482e51a9a0a199044c3d383898a8de092bf9402627aa2872d8450","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f247933942b482e51a9a0a199044c3d383898a8de092bf9402627aa2872d8450","first_computed_at":"2026-07-05T05:46:27.859275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:46:27.859275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cG0bDhd0sdSziGY+dyhu7E/HRp89xr7j/9rGyU4NIXBkawQnRw8fVJqZV9KrzocEGIjRWC/NZmR9wNCjyeXxBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:46:27.859711Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.03668","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf405c5e8ccf127292ede4e6e8b1e273cd3f7afa99d40c4091bbed6cc14c8f4c","sha256:b14c6afc7d5dd412c89c5f028d8f5c31d4e5b6c7792dd2687bc927cf481a2d08"],"state_sha256":"0c151dbaf3d6054828ab65918e14af1de5620d2fcba75bec8688af051ce84a9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NEiTmpZkATdB5hmdmIMIeKE/XmiLfMvV472TDV6Bok4hFqixlrkz/VUPD48ZRgeBiLzpv9rk/K+qVbryHqjmCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T11:49:41.890543Z","bundle_sha256":"8fee88d7ca358af735cae6f5a78d3eb1556f09906a57f08e2882f308c56cc0eb"}}