{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:NVFSZHSBOCG6VI72GYZXZ2XMFG","short_pith_number":"pith:NVFSZHSB","canonical_record":{"source":{"id":"2501.09090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-15T19:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"ed92d1637220bf23fbcae14c2d9efba6a09c57c89956ab6c0da14dd26415a735","abstract_canon_sha256":"fdac1e2594d247053806db594c94c74c156ac4b763da357ef883b470b478069f"},"schema_version":"1.0"},"canonical_sha256":"6d4b2c9e41708deaa3fa36337ceaec29b21eaa5fc76b381b634644d36b99d07f","source":{"kind":"arxiv","id":"2501.09090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09090","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09090v1","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09090","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"NVFSZHSBOCG6","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"pith_short_16","alias_value":"NVFSZHSBOCG6VI72","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"pith_short_8","alias_value":"NVFSZHSB","created_at":"2026-07-05T10:01:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:NVFSZHSBOCG6VI72GYZXZ2XMFG","target":"record","payload":{"canonical_record":{"source":{"id":"2501.09090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-15T19:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"ed92d1637220bf23fbcae14c2d9efba6a09c57c89956ab6c0da14dd26415a735","abstract_canon_sha256":"fdac1e2594d247053806db594c94c74c156ac4b763da357ef883b470b478069f"},"schema_version":"1.0"},"canonical_sha256":"6d4b2c9e41708deaa3fa36337ceaec29b21eaa5fc76b381b634644d36b99d07f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:41.506715Z","signature_b64":"NrYMsTZzJl/T9E2rtla6na9/8xad60t3xr5Ojc3gElh8GJbc2dVVUwu/O+hCjIwyIUYDzT+1C3wWGJxs5qChDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d4b2c9e41708deaa3fa36337ceaec29b21eaa5fc76b381b634644d36b99d07f","last_reissued_at":"2026-07-05T10:01:41.506232Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:41.506232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.09090","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":"2026-07-05T10:01:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kaW3b7EL4L8roktE+3DQ73NIRmblKMLDpqL5y4ixYNl9NLKyjd5V+upvBCo0Nf0RoRLYBIbwcUj+c72vykXOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T05:02:47.043935Z"},"content_sha256":"4425ecc09346fb7c7d34bbed64209211f05807cbecbf24507495de46827a29a7","schema_version":"1.0","event_id":"sha256:4425ecc09346fb7c7d34bbed64209211f05807cbecbf24507495de46827a29a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:NVFSZHSBOCG6VI72GYZXZ2XMFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinematic Moments of $\\bar{B}\\to X_c \\ell \\bar{\\nu}_\\ell$ to Order $\\mathcal{O}(\\Lambda_{\\rm QCD}^5/m_b^5)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gael Finauri","submitted_at":"2025-01-15T19:16:59Z","abstract_excerpt":"We investigate the heavy-quark expansion (HQE) for inclusive semileptonic $\\bar{B}$ decays, at tree level, by computing the fully differential decay rate up to order $\\mathcal{O}(\\Lambda_{\\rm QCD}^5/m_b^5)$. We provide analytic results for the first three moments in the lepton energy, hadronic invariant mass and leptonic invariant mass ($q^2$) with a lower cut on the lepton energy in the $\\bar{B}$ rest frame, as well as for the first three $q^2$ moments with a lower cut on $q^2$. By means of the lowest-lying state saturation ansatz we study the numerical behaviour of the HQE providing insights"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09090","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/2501.09090/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":"2026-07-05T10:01:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tr1KZMLfr99b/LnMTBPaxycUgzWFVr/7eTbiuDiRZrTwRsX82+40gVmK4i4oddWK/sThxhOrhdUM348HLHgwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T05:02:47.044428Z"},"content_sha256":"38ab345cd277fa51877945234021d6e9eb6efbfcf1be16db9ee698fb596996a6","schema_version":"1.0","event_id":"sha256:38ab345cd277fa51877945234021d6e9eb6efbfcf1be16db9ee698fb596996a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG/bundle.json","state_url":"https://pith.science/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG/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":"2026-08-11T05:02:47Z","links":{"resolver":"https://pith.science/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG","bundle":"https://pith.science/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG/bundle.json","state":"https://pith.science/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NVFSZHSBOCG6VI72GYZXZ2XMFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NVFSZHSBOCG6VI72GYZXZ2XMFG","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":"fdac1e2594d247053806db594c94c74c156ac4b763da357ef883b470b478069f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-15T19:16:59Z","title_canon_sha256":"ed92d1637220bf23fbcae14c2d9efba6a09c57c89956ab6c0da14dd26415a735"},"schema_version":"1.0","source":{"id":"2501.09090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09090","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09090v1","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09090","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"NVFSZHSBOCG6","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"pith_short_16","alias_value":"NVFSZHSBOCG6VI72","created_at":"2026-07-05T10:01:41Z"},{"alias_kind":"pith_short_8","alias_value":"NVFSZHSB","created_at":"2026-07-05T10:01:41Z"}],"graph_snapshots":[{"event_id":"sha256:38ab345cd277fa51877945234021d6e9eb6efbfcf1be16db9ee698fb596996a6","target":"graph","created_at":"2026-07-05T10:01:41Z","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/2501.09090/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the heavy-quark expansion (HQE) for inclusive semileptonic $\\bar{B}$ decays, at tree level, by computing the fully differential decay rate up to order $\\mathcal{O}(\\Lambda_{\\rm QCD}^5/m_b^5)$. We provide analytic results for the first three moments in the lepton energy, hadronic invariant mass and leptonic invariant mass ($q^2$) with a lower cut on the lepton energy in the $\\bar{B}$ rest frame, as well as for the first three $q^2$ moments with a lower cut on $q^2$. By means of the lowest-lying state saturation ansatz we study the numerical behaviour of the HQE providing insights","authors_text":"Gael Finauri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-15T19:16:59Z","title":"Kinematic Moments of $\\bar{B}\\to X_c \\ell \\bar{\\nu}_\\ell$ to Order $\\mathcal{O}(\\Lambda_{\\rm QCD}^5/m_b^5)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09090","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":"sha256:4425ecc09346fb7c7d34bbed64209211f05807cbecbf24507495de46827a29a7","target":"record","created_at":"2026-07-05T10:01:41Z","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":"fdac1e2594d247053806db594c94c74c156ac4b763da357ef883b470b478069f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-15T19:16:59Z","title_canon_sha256":"ed92d1637220bf23fbcae14c2d9efba6a09c57c89956ab6c0da14dd26415a735"},"schema_version":"1.0","source":{"id":"2501.09090","kind":"arxiv","version":1}},"canonical_sha256":"6d4b2c9e41708deaa3fa36337ceaec29b21eaa5fc76b381b634644d36b99d07f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d4b2c9e41708deaa3fa36337ceaec29b21eaa5fc76b381b634644d36b99d07f","first_computed_at":"2026-07-05T10:01:41.506232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:41.506232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NrYMsTZzJl/T9E2rtla6na9/8xad60t3xr5Ojc3gElh8GJbc2dVVUwu/O+hCjIwyIUYDzT+1C3wWGJxs5qChDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:41.506715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.09090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4425ecc09346fb7c7d34bbed64209211f05807cbecbf24507495de46827a29a7","sha256:38ab345cd277fa51877945234021d6e9eb6efbfcf1be16db9ee698fb596996a6"],"state_sha256":"85f1282c7f733f23c8fa017b410badbac5b7f89e0bf2eb5446aee97fc5c1ea06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AFaR30p9b7cBQMplMCxnD3K3PFfoiI0oHkmdAR+S+WAlF/k2tOYsJkjRfiA8NDfM9Ed1bF3YUULx9NO6schaAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T05:02:47.049844Z","bundle_sha256":"8c1e74b6613a9bcc1781404d7319dd6ee8e34ff49bbfed6e14672b96e845df9d"}}