{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:5NOLTVFM5EDC3NUWDFHD2ICOXI","short_pith_number":"pith:5NOLTVFM","canonical_record":{"source":{"id":"hep-ph/9812366","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-15T12:32:31Z","cross_cats_sorted":[],"title_canon_sha256":"d4efd4bd30ecb4a1823029c8e6422fa2b88fd2cda576f8b8da29067d4c4f12e0","abstract_canon_sha256":"0f2161b7f03e3a65095b933e6ce41aa144106a00e62639857edfb00ddc0d0bd3"},"schema_version":"1.0"},"canonical_sha256":"eb5cb9d4ace9062db696194e3d204eba11330f3f65114b93a89e6e9967201e6b","source":{"kind":"arxiv","id":"hep-ph/9812366","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9812366","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9812366v1","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9812366","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"pith_short_12","alias_value":"5NOLTVFM5EDC","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"pith_short_16","alias_value":"5NOLTVFM5EDC3NUW","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"pith_short_8","alias_value":"5NOLTVFM","created_at":"2026-07-04T16:09:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:5NOLTVFM5EDC3NUWDFHD2ICOXI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9812366","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-15T12:32:31Z","cross_cats_sorted":[],"title_canon_sha256":"d4efd4bd30ecb4a1823029c8e6422fa2b88fd2cda576f8b8da29067d4c4f12e0","abstract_canon_sha256":"0f2161b7f03e3a65095b933e6ce41aa144106a00e62639857edfb00ddc0d0bd3"},"schema_version":"1.0"},"canonical_sha256":"eb5cb9d4ace9062db696194e3d204eba11330f3f65114b93a89e6e9967201e6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:09:38.066571Z","signature_b64":"7e1RTCoEWv++psh6//sFHvqQOoDocu27SxJlwMSwQKeABUsnUbLGd9R14iDq5SqvtUzSPSQrIAVaFGc5UxOUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb5cb9d4ace9062db696194e3d204eba11330f3f65114b93a89e6e9967201e6b","last_reissued_at":"2026-07-04T16:09:38.066148Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:09:38.066148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9812366","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":"2026-07-04T16:09:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xB5/vY47Yss6w+8Be/zqr0oJQYWCG9vdBKIGpRAMfUQmLCWNuUbc1VU3IUCmjbS0DyfqD8oImHObemPdse9xAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:06:53.258953Z"},"content_sha256":"23ea8cddb1eac73d015b1bcc7b6395961f3df419ad8d4f74366bb892ebcf707d","schema_version":"1.0","event_id":"sha256:23ea8cddb1eac73d015b1bcc7b6395961f3df419ad8d4f74366bb892ebcf707d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:5NOLTVFM5EDC3NUWDFHD2ICOXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The BFKL Equation at Next-to-Leading Order and Beyond","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"D. Colferai (Dipartimento di Fisica, INFN, M. Ciafaloni, Sezione di Firenze), Universita' di Firenze","submitted_at":"1998-12-15T12:32:31Z","abstract_excerpt":"On the basis of a renormalization group analysis of the kernel and of the solutions of the BFKL equation with subleading corrections, we propose and calculate a novel expansion of a properly defined effective eigenvalue function. We argue that in this formulation the collinear properties of the kernel are taken into account to all orders, and that the ensuing next-to-leading truncation provides a much more stable estimate of hard Pomeron and of resummed anomalous dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9812366","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/9812366/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":"2026-07-04T16:09:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"85h3y01+LBUhpW5Fkmps7nle/WRoEYVh3yNi4O+kW+N/smxWyjkRqt0KiD5FtT8PTkeZywVA0b+2H+nB5LllDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:06:53.259996Z"},"content_sha256":"67b759f7c02132955a55df8491baed2893eafe63a895d8ea5401f6897444171d","schema_version":"1.0","event_id":"sha256:67b759f7c02132955a55df8491baed2893eafe63a895d8ea5401f6897444171d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI/bundle.json","state_url":"https://pith.science/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI/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":"2026-08-04T11:06:53Z","links":{"resolver":"https://pith.science/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI","bundle":"https://pith.science/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI/bundle.json","state":"https://pith.science/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5NOLTVFM5EDC3NUWDFHD2ICOXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:5NOLTVFM5EDC3NUWDFHD2ICOXI","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":"0f2161b7f03e3a65095b933e6ce41aa144106a00e62639857edfb00ddc0d0bd3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-15T12:32:31Z","title_canon_sha256":"d4efd4bd30ecb4a1823029c8e6422fa2b88fd2cda576f8b8da29067d4c4f12e0"},"schema_version":"1.0","source":{"id":"hep-ph/9812366","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9812366","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9812366v1","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9812366","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"pith_short_12","alias_value":"5NOLTVFM5EDC","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"pith_short_16","alias_value":"5NOLTVFM5EDC3NUW","created_at":"2026-07-04T16:09:38Z"},{"alias_kind":"pith_short_8","alias_value":"5NOLTVFM","created_at":"2026-07-04T16:09:38Z"}],"graph_snapshots":[{"event_id":"sha256:67b759f7c02132955a55df8491baed2893eafe63a895d8ea5401f6897444171d","target":"graph","created_at":"2026-07-04T16:09:38Z","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/9812366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"On the basis of a renormalization group analysis of the kernel and of the solutions of the BFKL equation with subleading corrections, we propose and calculate a novel expansion of a properly defined effective eigenvalue function. We argue that in this formulation the collinear properties of the kernel are taken into account to all orders, and that the ensuing next-to-leading truncation provides a much more stable estimate of hard Pomeron and of resummed anomalous dimensions.","authors_text":"D. Colferai (Dipartimento di Fisica, INFN, M. Ciafaloni, Sezione di Firenze), Universita' di Firenze","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1998-12-15T12:32:31Z","title":"The BFKL Equation at Next-to-Leading Order and Beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9812366","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":"sha256:23ea8cddb1eac73d015b1bcc7b6395961f3df419ad8d4f74366bb892ebcf707d","target":"record","created_at":"2026-07-04T16:09:38Z","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":"0f2161b7f03e3a65095b933e6ce41aa144106a00e62639857edfb00ddc0d0bd3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-15T12:32:31Z","title_canon_sha256":"d4efd4bd30ecb4a1823029c8e6422fa2b88fd2cda576f8b8da29067d4c4f12e0"},"schema_version":"1.0","source":{"id":"hep-ph/9812366","kind":"arxiv","version":1}},"canonical_sha256":"eb5cb9d4ace9062db696194e3d204eba11330f3f65114b93a89e6e9967201e6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb5cb9d4ace9062db696194e3d204eba11330f3f65114b93a89e6e9967201e6b","first_computed_at":"2026-07-04T16:09:38.066148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:09:38.066148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7e1RTCoEWv++psh6//sFHvqQOoDocu27SxJlwMSwQKeABUsnUbLGd9R14iDq5SqvtUzSPSQrIAVaFGc5UxOUDw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:09:38.066571Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9812366","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23ea8cddb1eac73d015b1bcc7b6395961f3df419ad8d4f74366bb892ebcf707d","sha256:67b759f7c02132955a55df8491baed2893eafe63a895d8ea5401f6897444171d"],"state_sha256":"a97c7a6459e4d62e106e8a1c377b341454b1d65001e5c8834ef17aa9a5c1d325"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9ld7yelYnxSBX5S/so6tzkRMJQ9z2ZXoB1bGxsApAU5d5IAeKK9ds+pod82GhdwBknhfkOnGxZgSYjYdx0OBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:06:53.277329Z","bundle_sha256":"8fde45a19fee28496a0256585a02a037ed0eaa8d53c4c7511be3c65e823b1641"}}