{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AIFPJNBTCGXXUJM5W2AOJQEYX4","short_pith_number":"pith:AIFPJNBT","canonical_record":{"source":{"id":"1101.5377","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-01-27T20:09:34Z","cross_cats_sorted":[],"title_canon_sha256":"3d9f049b5caf61ce49dbe47203336a60744ab3a6043e4db6807cd88ab764dda9","abstract_canon_sha256":"8b30ec441488a8ddd4f8c3c175d48ee75c93d6f7e6ad9f6947ccdae39135c79a"},"schema_version":"1.0"},"canonical_sha256":"020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447","source":{"kind":"arxiv","id":"1101.5377","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5377","created_at":"2026-05-18T02:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5377v3","created_at":"2026-05-18T02:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5377","created_at":"2026-05-18T02:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"AIFPJNBTCGXX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AIFPJNBTCGXXUJM5","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AIFPJNBT","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AIFPJNBTCGXXUJM5W2AOJQEYX4","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5377","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-01-27T20:09:34Z","cross_cats_sorted":[],"title_canon_sha256":"3d9f049b5caf61ce49dbe47203336a60744ab3a6043e4db6807cd88ab764dda9","abstract_canon_sha256":"8b30ec441488a8ddd4f8c3c175d48ee75c93d6f7e6ad9f6947ccdae39135c79a"},"schema_version":"1.0"},"canonical_sha256":"020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:21.175151Z","signature_b64":"HV4eKq9SPcABDnjpvDTj181AJGY+BJdlD3R23osHmHjiTgwktXmOjXHuxbjbf+78c9NSy7rZXuio9PNDHenZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447","last_reissued_at":"2026-05-18T02:03:21.174508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:21.174508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5377","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":"2026-05-18T02:03:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1E0Ba0RBQn3JfFQ09uYQDuJ7OVudMpRyn65pfVb4zBbGwN+P+cBM5KFd8mgDoq06pqxCfxNDBt63Bs3U3pYQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:38:13.682567Z"},"content_sha256":"21a7b25c23c9657b6a2676f74c1197913cd6e045e3b2613377b52f4f0160ca23","schema_version":"1.0","event_id":"sha256:21a7b25c23c9657b6a2676f74c1197913cd6e045e3b2613377b52f4f0160ca23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AIFPJNBTCGXXUJM5W2AOJQEYX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On threshold resummation of singlet structure and fragmentation functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Georges Grunberg","submitted_at":"2011-01-27T20:09:34Z","abstract_excerpt":"The large-x behavior of the physical evolution kernels appearing in the second order evolution equations of the singlet F_2 structure function and of the F_{phi} structure function in phi-exchange DIS is investigated. The validity of a leading logarithmic threshold resummation, analogous to the one prevailing for the non-singlet physical kernels, is established, allowing to recover the predictions of Soar et al. for the double-logarithmic contributions (ln^i(1-x), i=4,5,6) to the four loop splitting function P^{(3)}_{qg}(x) and P^{(3)}_{gq}(x). Threshold resummation at the next-to-leading loga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5377","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":"2026-05-18T02:03:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GAyw/wdjQkog4+UK2Ngcevvkk7SRID2PrEEbkQ+2aIiXK4viC/83wFEM4qauwaQlS3OBtbOKG7L9pM/VR7cLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:38:13.682936Z"},"content_sha256":"727f1c27449c44ee63be61801affcbf9d2fcf6b2dce1ebaed51aaab2b4e787a8","schema_version":"1.0","event_id":"sha256:727f1c27449c44ee63be61801affcbf9d2fcf6b2dce1ebaed51aaab2b4e787a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4/bundle.json","state_url":"https://pith.science/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4/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":"2026-05-30T13:38:13Z","links":{"resolver":"https://pith.science/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4","bundle":"https://pith.science/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4/bundle.json","state":"https://pith.science/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIFPJNBTCGXXUJM5W2AOJQEYX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AIFPJNBTCGXXUJM5W2AOJQEYX4","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":"8b30ec441488a8ddd4f8c3c175d48ee75c93d6f7e6ad9f6947ccdae39135c79a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-01-27T20:09:34Z","title_canon_sha256":"3d9f049b5caf61ce49dbe47203336a60744ab3a6043e4db6807cd88ab764dda9"},"schema_version":"1.0","source":{"id":"1101.5377","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5377","created_at":"2026-05-18T02:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5377v3","created_at":"2026-05-18T02:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5377","created_at":"2026-05-18T02:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"AIFPJNBTCGXX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AIFPJNBTCGXXUJM5","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AIFPJNBT","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:727f1c27449c44ee63be61801affcbf9d2fcf6b2dce1ebaed51aaab2b4e787a8","target":"graph","created_at":"2026-05-18T02:03:21Z","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 large-x behavior of the physical evolution kernels appearing in the second order evolution equations of the singlet F_2 structure function and of the F_{phi} structure function in phi-exchange DIS is investigated. The validity of a leading logarithmic threshold resummation, analogous to the one prevailing for the non-singlet physical kernels, is established, allowing to recover the predictions of Soar et al. for the double-logarithmic contributions (ln^i(1-x), i=4,5,6) to the four loop splitting function P^{(3)}_{qg}(x) and P^{(3)}_{gq}(x). Threshold resummation at the next-to-leading loga","authors_text":"Georges Grunberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-01-27T20:09:34Z","title":"On threshold resummation of singlet structure and fragmentation functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5377","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":"sha256:21a7b25c23c9657b6a2676f74c1197913cd6e045e3b2613377b52f4f0160ca23","target":"record","created_at":"2026-05-18T02:03:21Z","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":"8b30ec441488a8ddd4f8c3c175d48ee75c93d6f7e6ad9f6947ccdae39135c79a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-01-27T20:09:34Z","title_canon_sha256":"3d9f049b5caf61ce49dbe47203336a60744ab3a6043e4db6807cd88ab764dda9"},"schema_version":"1.0","source":{"id":"1101.5377","kind":"arxiv","version":3}},"canonical_sha256":"020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447","first_computed_at":"2026-05-18T02:03:21.174508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:21.174508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HV4eKq9SPcABDnjpvDTj181AJGY+BJdlD3R23osHmHjiTgwktXmOjXHuxbjbf+78c9NSy7rZXuio9PNDHenZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:21.175151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5377","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21a7b25c23c9657b6a2676f74c1197913cd6e045e3b2613377b52f4f0160ca23","sha256:727f1c27449c44ee63be61801affcbf9d2fcf6b2dce1ebaed51aaab2b4e787a8"],"state_sha256":"a73182775106ac07feb8bf69adcb5223c656e642cd751c4ad5dfeb38b7453542"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m3FNyzkEyBU80tKShBCcujfPfm2C0Rfj8WfobM+Ng/K9Emnz4STbc4e8ezbHzZmDYHee1JBTVU0XvW1PuWvsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:38:13.685854Z","bundle_sha256":"07be065fba49b73d1c5f1c4f46c3af23ab83d7f1fe28d0d3993918ae7de1f47b"}}