{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:7D6QXN6WGVNJFUATQ2WRVLUBLH","short_pith_number":"pith:7D6QXN6W","canonical_record":{"source":{"id":"hep-ph/0109061","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-07T15:08:39Z","cross_cats_sorted":[],"title_canon_sha256":"e0d84ffe93c04fe3992a7ffa40ce68663c80bd1a5bdee9f3b949ec14391fa7de","abstract_canon_sha256":"ace1c62879b7693164ce5a983ed6c22cac7e61c95657226795cfdb829d586fa7"},"schema_version":"1.0"},"canonical_sha256":"f8fd0bb7d6355a92d01386ad1aae8159fb3579891d108ed1429b4cb1a200a4f0","source":{"kind":"arxiv","id":"hep-ph/0109061","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0109061","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0109061v3","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0109061","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"7D6QXN6WGVNJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7D6QXN6WGVNJFUAT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7D6QXN6W","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:7D6QXN6WGVNJFUATQ2WRVLUBLH","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0109061","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-07T15:08:39Z","cross_cats_sorted":[],"title_canon_sha256":"e0d84ffe93c04fe3992a7ffa40ce68663c80bd1a5bdee9f3b949ec14391fa7de","abstract_canon_sha256":"ace1c62879b7693164ce5a983ed6c22cac7e61c95657226795cfdb829d586fa7"},"schema_version":"1.0"},"canonical_sha256":"f8fd0bb7d6355a92d01386ad1aae8159fb3579891d108ed1429b4cb1a200a4f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:10.621279Z","signature_b64":"saDZxTh4bk0ZwFOpIBaObqnHLX1P4ufWOHoMs9v7pLvlNKGTsr0KzrvMidHgia9W06s0q3ndnPs/IG3s8RBMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8fd0bb7d6355a92d01386ad1aae8159fb3579891d108ed1429b4cb1a200a4f0","last_reissued_at":"2026-05-18T04:31:10.620878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:10.620878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0109061","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":"2026-05-18T04:31:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qgqfqINv1sZm7ooIcREN2b6Dm82gYdO6hd/3GOyhy8850BQWG6RqeP03jMdLgEOvOTU4lCpBZjgPwjtiI6ejCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:53:39.365140Z"},"content_sha256":"a2f5a17ca869c184724cb5368ccb10e97b87fcd2384adede33f099c5fa3f200e","schema_version":"1.0","event_id":"sha256:a2f5a17ca869c184724cb5368ccb10e97b87fcd2384adede33f099c5fa3f200e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:7D6QXN6WGVNJFUATQ2WRVLUBLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three Loop Estimate of the Inclusive Semileptonic $b\\to c$ Decay Rate","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.H. Fariborz, D.G.C. McKeon, F.A. Chishtie, M.R. Ahmady, T.G. Steele, T.N. Sherry, V. Elias","submitted_at":"2001-09-07T15:08:39Z","abstract_excerpt":"The renormalization-scale ($\\mu$) dependence of the two-loop inclusive semileptonic $b\\to c\\ell^-\\bar\\nu_\\ell$ decay rate is shown to be significant in the pole mass scheme, and the decay rate is shown to be poorly convergent in the MS-bar scheme. Three-loop contributions to the decay rate are estimated by developing Pade approximant techniques particularly suited to perturbative calculations in the pole mass scheme. An optimized Pade estimate of the three-loop contributions is obtained by comparison of the Pade estimates with the three-loop terms determined by renormalization-group invariance"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0109061","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":""},"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":"2026-05-18T04:31:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHBO8exzRAcidQ0PPoNLJ5FtA++UdEn/cA0SJvJbX8wJix6sdwKnbkIgsKf6+32+1/DzSJQlfqkgotYijEt8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:53:39.365568Z"},"content_sha256":"aa9eab02b0f620977ab3804c2a142a61ff0024dc5d525f021020d58a518bc23a","schema_version":"1.0","event_id":"sha256:aa9eab02b0f620977ab3804c2a142a61ff0024dc5d525f021020d58a518bc23a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH/bundle.json","state_url":"https://pith.science/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH/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":"2026-06-03T08:53:39Z","links":{"resolver":"https://pith.science/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH","bundle":"https://pith.science/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH/bundle.json","state":"https://pith.science/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7D6QXN6WGVNJFUATQ2WRVLUBLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:7D6QXN6WGVNJFUATQ2WRVLUBLH","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":"ace1c62879b7693164ce5a983ed6c22cac7e61c95657226795cfdb829d586fa7","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-07T15:08:39Z","title_canon_sha256":"e0d84ffe93c04fe3992a7ffa40ce68663c80bd1a5bdee9f3b949ec14391fa7de"},"schema_version":"1.0","source":{"id":"hep-ph/0109061","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0109061","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0109061v3","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0109061","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"7D6QXN6WGVNJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7D6QXN6WGVNJFUAT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7D6QXN6W","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:aa9eab02b0f620977ab3804c2a142a61ff0024dc5d525f021020d58a518bc23a","target":"graph","created_at":"2026-05-18T04:31:10Z","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":"The renormalization-scale ($\\mu$) dependence of the two-loop inclusive semileptonic $b\\to c\\ell^-\\bar\\nu_\\ell$ decay rate is shown to be significant in the pole mass scheme, and the decay rate is shown to be poorly convergent in the MS-bar scheme. Three-loop contributions to the decay rate are estimated by developing Pade approximant techniques particularly suited to perturbative calculations in the pole mass scheme. An optimized Pade estimate of the three-loop contributions is obtained by comparison of the Pade estimates with the three-loop terms determined by renormalization-group invariance","authors_text":"A.H. Fariborz, D.G.C. McKeon, F.A. Chishtie, M.R. Ahmady, T.G. Steele, T.N. Sherry, V. Elias","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-09-07T15:08:39Z","title":"Three Loop Estimate of the Inclusive Semileptonic $b\\to c$ Decay Rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0109061","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:a2f5a17ca869c184724cb5368ccb10e97b87fcd2384adede33f099c5fa3f200e","target":"record","created_at":"2026-05-18T04:31:10Z","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":"ace1c62879b7693164ce5a983ed6c22cac7e61c95657226795cfdb829d586fa7","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-07T15:08:39Z","title_canon_sha256":"e0d84ffe93c04fe3992a7ffa40ce68663c80bd1a5bdee9f3b949ec14391fa7de"},"schema_version":"1.0","source":{"id":"hep-ph/0109061","kind":"arxiv","version":3}},"canonical_sha256":"f8fd0bb7d6355a92d01386ad1aae8159fb3579891d108ed1429b4cb1a200a4f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8fd0bb7d6355a92d01386ad1aae8159fb3579891d108ed1429b4cb1a200a4f0","first_computed_at":"2026-05-18T04:31:10.620878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:10.620878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"saDZxTh4bk0ZwFOpIBaObqnHLX1P4ufWOHoMs9v7pLvlNKGTsr0KzrvMidHgia9W06s0q3ndnPs/IG3s8RBMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:10.621279Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0109061","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2f5a17ca869c184724cb5368ccb10e97b87fcd2384adede33f099c5fa3f200e","sha256:aa9eab02b0f620977ab3804c2a142a61ff0024dc5d525f021020d58a518bc23a"],"state_sha256":"0baa68631b347a38bd64396fde9315b82c78ed1c5e190cfb69d26e405d6b795e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3QT2xBlCK+uCZ1mbhsi1D4DIvMfuw4ALLDY5Hp/nCtaNF4+rCFAClpk3/qqL6CuJPDBL+FPXT1gRR9eKe8VAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:53:39.367690Z","bundle_sha256":"dee344abf8c5ed392bffc8b7e48a8d31e01a9240fc1bee5f059905983d5fa4af"}}