{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:I3USRCUUHUJ2KSTQI3FGK27RCP","short_pith_number":"pith:I3USRCUU","canonical_record":{"source":{"id":"hep-ph/0512358","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-12-30T18:11:25Z","cross_cats_sorted":[],"title_canon_sha256":"56f2cee02c5e7478af4505de0254fe7a944d46ccff9d73ef33d8c0761d70879b","abstract_canon_sha256":"ab8ad69e57b370f5491a71a8e28508d66fc809aebffaaa6c7d35ce9f31067ac0"},"schema_version":"1.0"},"canonical_sha256":"46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0","source":{"kind":"arxiv","id":"hep-ph/0512358","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0512358","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0512358v5","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0512358","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"pith_short_12","alias_value":"I3USRCUUHUJ2","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"pith_short_16","alias_value":"I3USRCUUHUJ2KSTQ","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"pith_short_8","alias_value":"I3USRCUU","created_at":"2026-07-04T17:24:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:I3USRCUUHUJ2KSTQI3FGK27RCP","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0512358","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-12-30T18:11:25Z","cross_cats_sorted":[],"title_canon_sha256":"56f2cee02c5e7478af4505de0254fe7a944d46ccff9d73ef33d8c0761d70879b","abstract_canon_sha256":"ab8ad69e57b370f5491a71a8e28508d66fc809aebffaaa6c7d35ce9f31067ac0"},"schema_version":"1.0"},"canonical_sha256":"46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:05.945839Z","signature_b64":"TSVftzMYh3NnQSI4zfvHDEs29EdnEtnkwPfJjDWGw64G2Wauh1+r+XsSRcNNUq1BDjzgtX1Qqcoilnh0zJmcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0","last_reissued_at":"2026-07-04T17:24:05.945435Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:05.945435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0512358","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"758uUbMsqTh6GPAdmfXprb0uN5fAEFp3ZuufQ0z3SqufpajVLZIrv6cQWtC1oebh8AN8uV+P/ra7gyJfNxieAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:09:47.762785Z"},"content_sha256":"edab0b52bfefae15726e2c8c6cc376d564565b2827e69b3bfdab997b6b931331","schema_version":"1.0","event_id":"sha256:edab0b52bfefae15726e2c8c6cc376d564565b2827e69b3bfdab997b6b931331"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:I3USRCUUHUJ2KSTQI3FGK27RCP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"NNLO Logarithmic Expansions and Exact Solutions of the DGLAP Equations from x-Space: New Algorithms for Precision Studies at the LHC","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alessandro Cafarella, Claudio Coriano', Marco Guzzi","submitted_at":"2005-12-30T18:11:25Z","abstract_excerpt":"A NNLO analysis of certain logarithmic expansions, developed for precision studies of the evolution of the QCD parton distributions (pdf) at the Large Hadron Collider, is presented. We elaborate on their relations to all the solutions of the DGLAP equations that have been hitherto obtained from Mellin space, to which are equivalent. Exact expansions, equivalent to exact solutions of the equations, are constructed in the non-singlet sector. The algorithmic features of our approach are also emphasized, since this method allows to obtain numerical solutions of the evolution equations with the sam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0512358","kind":"arxiv","version":5},"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/0512358/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":"2026-07-04T17:24:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gHqkzu0u6WC16uJAjh908cfiqqaoT4F1uf7wSqm2RPtQDoZFIQWEByCpx/x+HN+zmRyJD6F6jx1jvsrp3ArvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T18:09:47.763679Z"},"content_sha256":"829b48d4a737be6556e29418dd518a73b493f70ddf2ef07f100e9fdd1bb7abc3","schema_version":"1.0","event_id":"sha256:829b48d4a737be6556e29418dd518a73b493f70ddf2ef07f100e9fdd1bb7abc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3USRCUUHUJ2KSTQI3FGK27RCP/bundle.json","state_url":"https://pith.science/pith/I3USRCUUHUJ2KSTQI3FGK27RCP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3USRCUUHUJ2KSTQI3FGK27RCP/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":"2026-08-17T18:09:47Z","links":{"resolver":"https://pith.science/pith/I3USRCUUHUJ2KSTQI3FGK27RCP","bundle":"https://pith.science/pith/I3USRCUUHUJ2KSTQI3FGK27RCP/bundle.json","state":"https://pith.science/pith/I3USRCUUHUJ2KSTQI3FGK27RCP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3USRCUUHUJ2KSTQI3FGK27RCP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:I3USRCUUHUJ2KSTQI3FGK27RCP","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":"ab8ad69e57b370f5491a71a8e28508d66fc809aebffaaa6c7d35ce9f31067ac0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-12-30T18:11:25Z","title_canon_sha256":"56f2cee02c5e7478af4505de0254fe7a944d46ccff9d73ef33d8c0761d70879b"},"schema_version":"1.0","source":{"id":"hep-ph/0512358","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0512358","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0512358v5","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0512358","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"pith_short_12","alias_value":"I3USRCUUHUJ2","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"pith_short_16","alias_value":"I3USRCUUHUJ2KSTQ","created_at":"2026-07-04T17:24:05Z"},{"alias_kind":"pith_short_8","alias_value":"I3USRCUU","created_at":"2026-07-04T17:24:05Z"}],"graph_snapshots":[{"event_id":"sha256:829b48d4a737be6556e29418dd518a73b493f70ddf2ef07f100e9fdd1bb7abc3","target":"graph","created_at":"2026-07-04T17:24:05Z","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/0512358/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A NNLO analysis of certain logarithmic expansions, developed for precision studies of the evolution of the QCD parton distributions (pdf) at the Large Hadron Collider, is presented. We elaborate on their relations to all the solutions of the DGLAP equations that have been hitherto obtained from Mellin space, to which are equivalent. Exact expansions, equivalent to exact solutions of the equations, are constructed in the non-singlet sector. The algorithmic features of our approach are also emphasized, since this method allows to obtain numerical solutions of the evolution equations with the sam","authors_text":"Alessandro Cafarella, Claudio Coriano', Marco Guzzi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-12-30T18:11:25Z","title":"NNLO Logarithmic Expansions and Exact Solutions of the DGLAP Equations from x-Space: New Algorithms for Precision Studies at the LHC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0512358","kind":"arxiv","version":5},"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:edab0b52bfefae15726e2c8c6cc376d564565b2827e69b3bfdab997b6b931331","target":"record","created_at":"2026-07-04T17:24:05Z","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":"ab8ad69e57b370f5491a71a8e28508d66fc809aebffaaa6c7d35ce9f31067ac0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-12-30T18:11:25Z","title_canon_sha256":"56f2cee02c5e7478af4505de0254fe7a944d46ccff9d73ef33d8c0761d70879b"},"schema_version":"1.0","source":{"id":"hep-ph/0512358","kind":"arxiv","version":5}},"canonical_sha256":"46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0","first_computed_at":"2026-07-04T17:24:05.945435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:05.945435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TSVftzMYh3NnQSI4zfvHDEs29EdnEtnkwPfJjDWGw64G2Wauh1+r+XsSRcNNUq1BDjzgtX1Qqcoilnh0zJmcCg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:05.945839Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0512358","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edab0b52bfefae15726e2c8c6cc376d564565b2827e69b3bfdab997b6b931331","sha256:829b48d4a737be6556e29418dd518a73b493f70ddf2ef07f100e9fdd1bb7abc3"],"state_sha256":"6235a8b162778a944f6e737c8a75dd9adc75fcf26b61acac26ae2597c2b2f078"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+RQhe908nbkEVE+bXA/D0eKonHEj1qK5YZu/B2UIAzm7j/ZdTlvkKVCBELqFvUgeX449LEMHxAt/dnsNV89Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T18:09:47.771144Z","bundle_sha256":"261ffb04505a36d67015af8eb2df3a199a586895dfe3e98fe318ad5bea59a674"}}