{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:CKPTIDJQDVB4TM7UE5QTSJ26JV","short_pith_number":"pith:CKPTIDJQ","canonical_record":{"source":{"id":"0704.3782","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-28T08:24:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d093fefccf9065ebc354198dade5a4104302ec77ea092c855453c670c6e113e8","abstract_canon_sha256":"5a5d54e29f02f7f4a4c8b988c4c1c875c7bba4b3f6c9d3c808e2ba7f74c0670e"},"schema_version":"1.0"},"canonical_sha256":"129f340d301d43c9b3f4276139275e4d55ff04875405c04b62c482d3c11ca95a","source":{"kind":"arxiv","id":"0704.3782","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.3782","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"arxiv_version","alias_value":"0704.3782v2","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.3782","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"pith_short_12","alias_value":"CKPTIDJQDVB4","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"pith_short_16","alias_value":"CKPTIDJQDVB4TM7U","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"pith_short_8","alias_value":"CKPTIDJQ","created_at":"2026-07-04T17:03:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:CKPTIDJQDVB4TM7UE5QTSJ26JV","target":"record","payload":{"canonical_record":{"source":{"id":"0704.3782","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-28T08:24:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d093fefccf9065ebc354198dade5a4104302ec77ea092c855453c670c6e113e8","abstract_canon_sha256":"5a5d54e29f02f7f4a4c8b988c4c1c875c7bba4b3f6c9d3c808e2ba7f74c0670e"},"schema_version":"1.0"},"canonical_sha256":"129f340d301d43c9b3f4276139275e4d55ff04875405c04b62c482d3c11ca95a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:03:25.572833Z","signature_b64":"Va/tF3eAn5+zqx3DR64oHM4/9AleLPvqeF17mSwMH2hZX8rSqGn57vMzJkXPrD/jSgoGuDKMDfE3cSgsfNcbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"129f340d301d43c9b3f4276139275e4d55ff04875405c04b62c482d3c11ca95a","last_reissued_at":"2026-07-04T17:03:25.572489Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:03:25.572489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0704.3782","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":"2026-07-04T17:03:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+8flej/dJTVu8jA1lhjS8UxNEi7HFAKOdenKUw58DFbpEwm0SFh1gKgLhpLiyjSG94aED0geppFyo8AtSSngCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T15:09:49.810928Z"},"content_sha256":"46e7314f84fa7915947799e92c43501f75be3db4a820ed65bbe4ccdce9a9a62d","schema_version":"1.0","event_id":"sha256:46e7314f84fa7915947799e92c43501f75be3db4a820ed65bbe4ccdce9a9a62d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:CKPTIDJQDVB4TM7UE5QTSJ26JV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resummation of Large Logarithms in $\\gamma^* \\pi^0 \\to \\gamma $","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"F. Feng, J.P. Ma, Q. Wang","submitted_at":"2007-04-28T08:24:00Z","abstract_excerpt":"In the collinear factorization of the form factor for the transition $\\gamma^* \\pi^0 \\to \\gamma$ the hard part contains double log terms as $\\ln^2 x$ with $x$ as the momentum fraction of partons from 0 to 1. A simple exponentiation for resummation leads to divergent results. We study the resummation of these $\\ln^2 x$ terms. We show that the $\\ln^2 x$ terms come partly from the light-cone wave function(LCWF) and partly from the form factor. We introduce a jet factor to factorize the $\\ln^2 x$ term in the form factor. To handel the $\\ln^2 x$ terms from the LCWF we introduce a nonstandard light-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.3782","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0704.3782/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":"2026-07-04T17:03:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IjejBgzR10QZvy1Q9RnCjgNUPiHaw5Zcs+30MqEcB6Jz4n0XkgSeZDli/FSTb3SKBs60MJHqAMJLtYHE0IxABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T15:09:49.811441Z"},"content_sha256":"bd635fc68dc8563ccf59f011da70d598ccb4050d3b0efd1a2db2341110b53d7a","schema_version":"1.0","event_id":"sha256:bd635fc68dc8563ccf59f011da70d598ccb4050d3b0efd1a2db2341110b53d7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV/bundle.json","state_url":"https://pith.science/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV/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":"2026-08-13T15:09:49Z","links":{"resolver":"https://pith.science/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV","bundle":"https://pith.science/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV/bundle.json","state":"https://pith.science/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CKPTIDJQDVB4TM7UE5QTSJ26JV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:CKPTIDJQDVB4TM7UE5QTSJ26JV","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":"5a5d54e29f02f7f4a4c8b988c4c1c875c7bba4b3f6c9d3c808e2ba7f74c0670e","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-28T08:24:00Z","title_canon_sha256":"d093fefccf9065ebc354198dade5a4104302ec77ea092c855453c670c6e113e8"},"schema_version":"1.0","source":{"id":"0704.3782","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.3782","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"arxiv_version","alias_value":"0704.3782v2","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.3782","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"pith_short_12","alias_value":"CKPTIDJQDVB4","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"pith_short_16","alias_value":"CKPTIDJQDVB4TM7U","created_at":"2026-07-04T17:03:25Z"},{"alias_kind":"pith_short_8","alias_value":"CKPTIDJQ","created_at":"2026-07-04T17:03:25Z"}],"graph_snapshots":[{"event_id":"sha256:bd635fc68dc8563ccf59f011da70d598ccb4050d3b0efd1a2db2341110b53d7a","target":"graph","created_at":"2026-07-04T17:03:25Z","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/0704.3782/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the collinear factorization of the form factor for the transition $\\gamma^* \\pi^0 \\to \\gamma$ the hard part contains double log terms as $\\ln^2 x$ with $x$ as the momentum fraction of partons from 0 to 1. A simple exponentiation for resummation leads to divergent results. We study the resummation of these $\\ln^2 x$ terms. We show that the $\\ln^2 x$ terms come partly from the light-cone wave function(LCWF) and partly from the form factor. We introduce a jet factor to factorize the $\\ln^2 x$ term in the form factor. To handel the $\\ln^2 x$ terms from the LCWF we introduce a nonstandard light-","authors_text":"F. Feng, J.P. Ma, Q. Wang","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-04-28T08:24:00Z","title":"Resummation of Large Logarithms in $\\gamma^* \\pi^0 \\to \\gamma $"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.3782","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":"sha256:46e7314f84fa7915947799e92c43501f75be3db4a820ed65bbe4ccdce9a9a62d","target":"record","created_at":"2026-07-04T17:03:25Z","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":"5a5d54e29f02f7f4a4c8b988c4c1c875c7bba4b3f6c9d3c808e2ba7f74c0670e","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-28T08:24:00Z","title_canon_sha256":"d093fefccf9065ebc354198dade5a4104302ec77ea092c855453c670c6e113e8"},"schema_version":"1.0","source":{"id":"0704.3782","kind":"arxiv","version":2}},"canonical_sha256":"129f340d301d43c9b3f4276139275e4d55ff04875405c04b62c482d3c11ca95a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"129f340d301d43c9b3f4276139275e4d55ff04875405c04b62c482d3c11ca95a","first_computed_at":"2026-07-04T17:03:25.572489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:03:25.572489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Va/tF3eAn5+zqx3DR64oHM4/9AleLPvqeF17mSwMH2hZX8rSqGn57vMzJkXPrD/jSgoGuDKMDfE3cSgsfNcbCA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:03:25.572833Z","signed_message":"canonical_sha256_bytes"},"source_id":"0704.3782","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46e7314f84fa7915947799e92c43501f75be3db4a820ed65bbe4ccdce9a9a62d","sha256:bd635fc68dc8563ccf59f011da70d598ccb4050d3b0efd1a2db2341110b53d7a"],"state_sha256":"c25d339233f8c5d05b10e0354b6fd4c1b7306c7d66628c243f22cdffd1cbac28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bWwgRXpPJasUWLhFMOTEeXmoHGq69P+6mT0/+tWT1zG8d0dhQuvPuhxJilim01a/HQq/WR+Amssp2EBVHfQ4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T15:09:49.815172Z","bundle_sha256":"6564a836e82be5101d16c7b8a9be4a2dd2799dbd751b4f5b8db7b2cbc7239630"}}