{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:WFRO3JPKRCQFWAG2W3OIXY34GI","short_pith_number":"pith:WFRO3JPK","canonical_record":{"source":{"id":"hep-ph/0410205","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-14T10:23:18Z","cross_cats_sorted":[],"title_canon_sha256":"669d646653182777c0992b242afe90fc0f009727cbd8918d5b3dd3dc0311df83","abstract_canon_sha256":"d3123b8755d16ca9d92d3a9c266b7048fc3d41419d119a3a411d2834c079399f"},"schema_version":"1.0"},"canonical_sha256":"b162eda5ea88a05b00dab6dc8be37c321ee0a5a3987f0625a9546b4bce9b1950","source":{"kind":"arxiv","id":"hep-ph/0410205","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0410205","created_at":"2026-05-18T02:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0410205v2","created_at":"2026-05-18T02:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0410205","created_at":"2026-05-18T02:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"WFRO3JPKRCQF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WFRO3JPKRCQFWAG2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WFRO3JPK","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:WFRO3JPKRCQFWAG2W3OIXY34GI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0410205","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-14T10:23:18Z","cross_cats_sorted":[],"title_canon_sha256":"669d646653182777c0992b242afe90fc0f009727cbd8918d5b3dd3dc0311df83","abstract_canon_sha256":"d3123b8755d16ca9d92d3a9c266b7048fc3d41419d119a3a411d2834c079399f"},"schema_version":"1.0"},"canonical_sha256":"b162eda5ea88a05b00dab6dc8be37c321ee0a5a3987f0625a9546b4bce9b1950","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:20.731104Z","signature_b64":"P/aNlo62Uf8qWByLhiy2qMVcomhChWBe2lQMukCvQLEFg7qQ5Lk0ac9e7cPCWQ8/H47Dr1pz5ItpZAGH8yJvCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b162eda5ea88a05b00dab6dc8be37c321ee0a5a3987f0625a9546b4bce9b1950","last_reissued_at":"2026-05-18T02:36:20.730518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:20.730518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0410205","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eIdRO4G5E10H1bMH6VXA5gn72FK+tP1az7KYwhoW7QSh4yd2kPs9P/6HGjumXlixAbuxcxq0FZa4oGuQadgCCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:54:53.812516Z"},"content_sha256":"a9131485eb10cc4342dacded3d71ef6f00fa965e0226315865592f00af0a4e4f","schema_version":"1.0","event_id":"sha256:a9131485eb10cc4342dacded3d71ef6f00fa965e0226315865592f00af0a4e4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:WFRO3JPKRCQFWAG2W3OIXY34GI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative Heavy Quark Fragmentation Function through O(\\alpha_s^2): Gluon Initiated Contribution","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alexander Mitov","submitted_at":"2004-10-14T10:23:18Z","abstract_excerpt":"We derive the gluon initiated contribution to the initial condition for the perturbative fragmentation function of a heavy quark through order O(\\alpha_s^2) in the MS-bar scheme. This result is needed for the resummation with next-to-next-to-leading logarithmic accuracy of quasi-collinear logarithms ln^k(m^2) in heavy quark differential distributions by solving the complete DGLAP equation. Together with the previously evaluated fermion initiated components, this result completes the derivation of the initial condition for the perturbative fragmentation function at next-to-next-to-leading order"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0410205","kind":"arxiv","version":2},"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":"2026-05-18T02:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sUZvi6eW5KHjxr1oc3alfly4mM4eIoawytzLKLAT7ETOTGiT972DonXyy4xi+eP1djN07DMpBQIHn+YECCRcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:54:53.812854Z"},"content_sha256":"299f3bf85c710bf2e96b80288c05d7d98beb8ebc21c85db956e97607730f97ba","schema_version":"1.0","event_id":"sha256:299f3bf85c710bf2e96b80288c05d7d98beb8ebc21c85db956e97607730f97ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WFRO3JPKRCQFWAG2W3OIXY34GI/bundle.json","state_url":"https://pith.science/pith/WFRO3JPKRCQFWAG2W3OIXY34GI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WFRO3JPKRCQFWAG2W3OIXY34GI/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":"2026-06-01T19:54:53Z","links":{"resolver":"https://pith.science/pith/WFRO3JPKRCQFWAG2W3OIXY34GI","bundle":"https://pith.science/pith/WFRO3JPKRCQFWAG2W3OIXY34GI/bundle.json","state":"https://pith.science/pith/WFRO3JPKRCQFWAG2W3OIXY34GI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WFRO3JPKRCQFWAG2W3OIXY34GI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WFRO3JPKRCQFWAG2W3OIXY34GI","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":"d3123b8755d16ca9d92d3a9c266b7048fc3d41419d119a3a411d2834c079399f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-14T10:23:18Z","title_canon_sha256":"669d646653182777c0992b242afe90fc0f009727cbd8918d5b3dd3dc0311df83"},"schema_version":"1.0","source":{"id":"hep-ph/0410205","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0410205","created_at":"2026-05-18T02:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0410205v2","created_at":"2026-05-18T02:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0410205","created_at":"2026-05-18T02:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"WFRO3JPKRCQF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WFRO3JPKRCQFWAG2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WFRO3JPK","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:299f3bf85c710bf2e96b80288c05d7d98beb8ebc21c85db956e97607730f97ba","target":"graph","created_at":"2026-05-18T02:36:20Z","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 derive the gluon initiated contribution to the initial condition for the perturbative fragmentation function of a heavy quark through order O(\\alpha_s^2) in the MS-bar scheme. This result is needed for the resummation with next-to-next-to-leading logarithmic accuracy of quasi-collinear logarithms ln^k(m^2) in heavy quark differential distributions by solving the complete DGLAP equation. Together with the previously evaluated fermion initiated components, this result completes the derivation of the initial condition for the perturbative fragmentation function at next-to-next-to-leading order","authors_text":"Alexander Mitov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-10-14T10:23:18Z","title":"Perturbative Heavy Quark Fragmentation Function through O(\\alpha_s^2): Gluon Initiated Contribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0410205","kind":"arxiv","version":2},"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:a9131485eb10cc4342dacded3d71ef6f00fa965e0226315865592f00af0a4e4f","target":"record","created_at":"2026-05-18T02:36:20Z","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":"d3123b8755d16ca9d92d3a9c266b7048fc3d41419d119a3a411d2834c079399f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-14T10:23:18Z","title_canon_sha256":"669d646653182777c0992b242afe90fc0f009727cbd8918d5b3dd3dc0311df83"},"schema_version":"1.0","source":{"id":"hep-ph/0410205","kind":"arxiv","version":2}},"canonical_sha256":"b162eda5ea88a05b00dab6dc8be37c321ee0a5a3987f0625a9546b4bce9b1950","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b162eda5ea88a05b00dab6dc8be37c321ee0a5a3987f0625a9546b4bce9b1950","first_computed_at":"2026-05-18T02:36:20.730518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:20.730518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P/aNlo62Uf8qWByLhiy2qMVcomhChWBe2lQMukCvQLEFg7qQ5Lk0ac9e7cPCWQ8/H47Dr1pz5ItpZAGH8yJvCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:20.731104Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0410205","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9131485eb10cc4342dacded3d71ef6f00fa965e0226315865592f00af0a4e4f","sha256:299f3bf85c710bf2e96b80288c05d7d98beb8ebc21c85db956e97607730f97ba"],"state_sha256":"af68de61e83c36a0baee66bc5769e8ae4ec3313083af6899571279679163e1c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ubG9O4sACQA6sD1+dj0ttMpcUrxb6zc+YdLnuvfZNCZFaxLEzZU4WZYK86NEviTHG+o4ZALyMbvEtXRo5l7sDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:54:53.815070Z","bundle_sha256":"72ef87f28fdee8e10a47587d3d08b2591cded9fb64ff553b465dfa7bd130daf7"}}