{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:ZXWX4N7JVF7GQREOXDZMOKUYJ7","short_pith_number":"pith:ZXWX4N7J","canonical_record":{"source":{"id":"hep-ph/0006124","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-13T06:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"5dfb9481248986b914d774a084d7fc79c1aa0232c3cd9bad5e96116510359db3","abstract_canon_sha256":"b340fef59a8678d20aec6cd870afa8dd920fcecda6b05c525b4d6a5718dfe3f0"},"schema_version":"1.0"},"canonical_sha256":"cded7e37e9a97e68448eb8f2c72a984fca1d2ad9463068434f198f182975610b","source":{"kind":"arxiv","id":"hep-ph/0006124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0006124","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0006124v1","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0006124","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZXWX4N7JVF7G","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"pith_short_16","alias_value":"ZXWX4N7JVF7GQREO","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"pith_short_8","alias_value":"ZXWX4N7J","created_at":"2026-07-04T15:54:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:ZXWX4N7JVF7GQREOXDZMOKUYJ7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0006124","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-13T06:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"5dfb9481248986b914d774a084d7fc79c1aa0232c3cd9bad5e96116510359db3","abstract_canon_sha256":"b340fef59a8678d20aec6cd870afa8dd920fcecda6b05c525b4d6a5718dfe3f0"},"schema_version":"1.0"},"canonical_sha256":"cded7e37e9a97e68448eb8f2c72a984fca1d2ad9463068434f198f182975610b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:08.244461Z","signature_b64":"1WGeHAyzD4VU5fIKfBQIFZScWdytJVMyIWhm4YhfJcdcdLuuROZVLcYnEnPVRoxmpWEAsdrG5XuBR1k7hZ0uCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cded7e37e9a97e68448eb8f2c72a984fca1d2ad9463068434f198f182975610b","last_reissued_at":"2026-07-04T15:54:08.244019Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:08.244019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0006124","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":"2026-07-04T15:54:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RPMn4+NWR4MQ4sNoSyo3yPLjEeQXMZ81K3gwxt07ijBrKBK0t/v76UN07j5q+svBaUFoIvIQkbQM+UxVvs8DAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T00:29:52.194521Z"},"content_sha256":"45c77ab9a51cfa0299641af5cc4096e3967c0041cd04c3b1dd0a6b69ec2525ee","schema_version":"1.0","event_id":"sha256:45c77ab9a51cfa0299641af5cc4096e3967c0041cd04c3b1dd0a6b69ec2525ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:ZXWX4N7JVF7GQREOXDZMOKUYJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C.T. Sachrajda (Southampton), G. Buchalla (CERN), M. Beneke (Aachen), M. Neubert (Cornell)","submitted_at":"2000-06-13T06:07:04Z","abstract_excerpt":"We provide a rigorous basis for factorization for a large class of non-leptonic two-body $B$-meson decays in the heavy-quark limit. The factorization formula incorporates elements of the naive factorization approach and the hard-scattering approach, but allows us to compute systematically radiative (``non-factorizable'') corrections to naive factorization for decays such as $B\\to D\\pi$ and $B\\to \\pi \\pi$. We discuss the factorization formula for a general final state from a general point of view. We then consider factorization for decays into heavy-light final states (such as $B\\to D\\pi$) in m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0006124","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/hep-ph/0006124/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":"2026-07-04T15:54:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wU5RANNH0bFAIPH8PirRcQi6rwaTGQsHSwlU0mDBNdu+3u2fJballIHIRFW3frtNfrIxrdWAGVLNJ37Wk/goBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T00:29:52.195192Z"},"content_sha256":"4304870a0c8dbbd8271911f54e335a28f6a94cbfb06dba51a071447314bfd5e7","schema_version":"1.0","event_id":"sha256:4304870a0c8dbbd8271911f54e335a28f6a94cbfb06dba51a071447314bfd5e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7/bundle.json","state_url":"https://pith.science/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7/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":"2026-08-16T00:29:52Z","links":{"resolver":"https://pith.science/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7","bundle":"https://pith.science/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7/bundle.json","state":"https://pith.science/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXWX4N7JVF7GQREOXDZMOKUYJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:ZXWX4N7JVF7GQREOXDZMOKUYJ7","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":"b340fef59a8678d20aec6cd870afa8dd920fcecda6b05c525b4d6a5718dfe3f0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-13T06:07:04Z","title_canon_sha256":"5dfb9481248986b914d774a084d7fc79c1aa0232c3cd9bad5e96116510359db3"},"schema_version":"1.0","source":{"id":"hep-ph/0006124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0006124","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0006124v1","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0006124","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZXWX4N7JVF7G","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"pith_short_16","alias_value":"ZXWX4N7JVF7GQREO","created_at":"2026-07-04T15:54:08Z"},{"alias_kind":"pith_short_8","alias_value":"ZXWX4N7J","created_at":"2026-07-04T15:54:08Z"}],"graph_snapshots":[{"event_id":"sha256:4304870a0c8dbbd8271911f54e335a28f6a94cbfb06dba51a071447314bfd5e7","target":"graph","created_at":"2026-07-04T15:54:08Z","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/0006124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a rigorous basis for factorization for a large class of non-leptonic two-body $B$-meson decays in the heavy-quark limit. The factorization formula incorporates elements of the naive factorization approach and the hard-scattering approach, but allows us to compute systematically radiative (``non-factorizable'') corrections to naive factorization for decays such as $B\\to D\\pi$ and $B\\to \\pi \\pi$. We discuss the factorization formula for a general final state from a general point of view. We then consider factorization for decays into heavy-light final states (such as $B\\to D\\pi$) in m","authors_text":"C.T. Sachrajda (Southampton), G. Buchalla (CERN), M. Beneke (Aachen), M. Neubert (Cornell)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-06-13T06:07:04Z","title":"QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0006124","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":"sha256:45c77ab9a51cfa0299641af5cc4096e3967c0041cd04c3b1dd0a6b69ec2525ee","target":"record","created_at":"2026-07-04T15:54:08Z","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":"b340fef59a8678d20aec6cd870afa8dd920fcecda6b05c525b4d6a5718dfe3f0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-13T06:07:04Z","title_canon_sha256":"5dfb9481248986b914d774a084d7fc79c1aa0232c3cd9bad5e96116510359db3"},"schema_version":"1.0","source":{"id":"hep-ph/0006124","kind":"arxiv","version":1}},"canonical_sha256":"cded7e37e9a97e68448eb8f2c72a984fca1d2ad9463068434f198f182975610b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cded7e37e9a97e68448eb8f2c72a984fca1d2ad9463068434f198f182975610b","first_computed_at":"2026-07-04T15:54:08.244019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:54:08.244019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1WGeHAyzD4VU5fIKfBQIFZScWdytJVMyIWhm4YhfJcdcdLuuROZVLcYnEnPVRoxmpWEAsdrG5XuBR1k7hZ0uCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:54:08.244461Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0006124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45c77ab9a51cfa0299641af5cc4096e3967c0041cd04c3b1dd0a6b69ec2525ee","sha256:4304870a0c8dbbd8271911f54e335a28f6a94cbfb06dba51a071447314bfd5e7"],"state_sha256":"57e083ea5f66bcc0d04c34e87d0d6f56b47efd758407576afb2c41e5258705ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmenQrTPJptpSIb0u/QcssxNbXFhvY8tQwa3dzLKp4NsxAgz+WcyUQz8DOEsvYxQYiDgs7ulXNnssM+VrStEAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T00:29:52.201866Z","bundle_sha256":"609b1b8d18e62aa097e75b641282270c8abf415755effc560f7ba0e2653e3181"}}