{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:GMWRQLQUFWLCKHYJFUJ747ROFR","short_pith_number":"pith:GMWRQLQU","canonical_record":{"source":{"id":"0808.1886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-13T19:53:41Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"084fa35691adc326fc39e64770916dd2d343065a7e79875100ec68b4e5597c3e","abstract_canon_sha256":"b2bb469bf40bda4bf1588ebff825cd92067bf6ad577c90ee10e86dc4dc811fbd"},"schema_version":"1.0"},"canonical_sha256":"332d182e142d96251f092d13fe7e2e2c63179a5f980d5480b079d885e07027c9","source":{"kind":"arxiv","id":"0808.1886","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1886","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1886v2","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1886","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"GMWRQLQUFWLC","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GMWRQLQUFWLCKHYJ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GMWRQLQU","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:GMWRQLQUFWLCKHYJFUJ747ROFR","target":"record","payload":{"canonical_record":{"source":{"id":"0808.1886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-13T19:53:41Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"084fa35691adc326fc39e64770916dd2d343065a7e79875100ec68b4e5597c3e","abstract_canon_sha256":"b2bb469bf40bda4bf1588ebff825cd92067bf6ad577c90ee10e86dc4dc811fbd"},"schema_version":"1.0"},"canonical_sha256":"332d182e142d96251f092d13fe7e2e2c63179a5f980d5480b079d885e07027c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:36.605503Z","signature_b64":"4q4FPpz7oguhMcuE4njQUaMOrOePoVX6jqN/jmAgY7jiPYHn5eZSwVdXfaqotDUabZSfmek9ZRe37Fpref1AAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"332d182e142d96251f092d13fe7e2e2c63179a5f980d5480b079d885e07027c9","last_reissued_at":"2026-05-18T04:28:36.605120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:36.605120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.1886","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":"2026-05-18T04:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d4IwFdosaFHYwTwmWfdFzA+idRhOUs2yK44HoTfCf8tS31ZFoS7silZVTXZ01MK3vGRe/Gt6KPz74pmBNpbYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:52:20.206531Z"},"content_sha256":"8ea28d3158a2191c1405b5ef26889a8ddea51f19aa87b50d5ccfcad80a03baa2","schema_version":"1.0","event_id":"sha256:8ea28d3158a2191c1405b5ef26889a8ddea51f19aa87b50d5ccfcad80a03baa2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:GMWRQLQUFWLCKHYJFUJ747ROFR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The generalised scaling function: a systematic study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Davide Fioravanti, Marco Rossi, Paolo Grinza","submitted_at":"2008-08-13T19:53:41Z","abstract_excerpt":"We describe a procedure for determining the generalised scaling functions $f_n(g)$ at all the values of the coupling constant. These functions describe the high spin contribution to the anomalous dimension of large twist operators (in the $sl(2)$ sector) of ${\\cal N}=4$ SYM. At fixed $n$, $f_n(g)$ can be obtained by solving a linear integral equation (or, equivalently, a linear system with an infinite number of equations), whose inhomogeneous term only depends on the solutions at smaller $n$. In other words, the solution can be written in a recursive form and then explicitly worked out in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1886","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":"2026-05-18T04:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHQ3oEhuPxQa4y6gKGBmbYmStZHTeP/RWgU7hdLPt0OTAsK0wLAA5nqDisyc5JPiygIStJoDv7zLfoMerzrbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:52:20.206873Z"},"content_sha256":"2ddf8c8f87b15a3ca29313bfcd21fbc1b405c992c91fa4deca55576ad9f63e9b","schema_version":"1.0","event_id":"sha256:2ddf8c8f87b15a3ca29313bfcd21fbc1b405c992c91fa4deca55576ad9f63e9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMWRQLQUFWLCKHYJFUJ747ROFR/bundle.json","state_url":"https://pith.science/pith/GMWRQLQUFWLCKHYJFUJ747ROFR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMWRQLQUFWLCKHYJFUJ747ROFR/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":"2026-05-26T11:52:20Z","links":{"resolver":"https://pith.science/pith/GMWRQLQUFWLCKHYJFUJ747ROFR","bundle":"https://pith.science/pith/GMWRQLQUFWLCKHYJFUJ747ROFR/bundle.json","state":"https://pith.science/pith/GMWRQLQUFWLCKHYJFUJ747ROFR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMWRQLQUFWLCKHYJFUJ747ROFR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GMWRQLQUFWLCKHYJFUJ747ROFR","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":"b2bb469bf40bda4bf1588ebff825cd92067bf6ad577c90ee10e86dc4dc811fbd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-13T19:53:41Z","title_canon_sha256":"084fa35691adc326fc39e64770916dd2d343065a7e79875100ec68b4e5597c3e"},"schema_version":"1.0","source":{"id":"0808.1886","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1886","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1886v2","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1886","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"GMWRQLQUFWLC","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GMWRQLQUFWLCKHYJ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GMWRQLQU","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:2ddf8c8f87b15a3ca29313bfcd21fbc1b405c992c91fa4deca55576ad9f63e9b","target":"graph","created_at":"2026-05-18T04:28:36Z","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 describe a procedure for determining the generalised scaling functions $f_n(g)$ at all the values of the coupling constant. These functions describe the high spin contribution to the anomalous dimension of large twist operators (in the $sl(2)$ sector) of ${\\cal N}=4$ SYM. At fixed $n$, $f_n(g)$ can be obtained by solving a linear integral equation (or, equivalently, a linear system with an infinite number of equations), whose inhomogeneous term only depends on the solutions at smaller $n$. In other words, the solution can be written in a recursive form and then explicitly worked out in the ","authors_text":"Davide Fioravanti, Marco Rossi, Paolo Grinza","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-13T19:53:41Z","title":"The generalised scaling function: a systematic study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1886","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":"sha256:8ea28d3158a2191c1405b5ef26889a8ddea51f19aa87b50d5ccfcad80a03baa2","target":"record","created_at":"2026-05-18T04:28:36Z","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":"b2bb469bf40bda4bf1588ebff825cd92067bf6ad577c90ee10e86dc4dc811fbd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-08-13T19:53:41Z","title_canon_sha256":"084fa35691adc326fc39e64770916dd2d343065a7e79875100ec68b4e5597c3e"},"schema_version":"1.0","source":{"id":"0808.1886","kind":"arxiv","version":2}},"canonical_sha256":"332d182e142d96251f092d13fe7e2e2c63179a5f980d5480b079d885e07027c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"332d182e142d96251f092d13fe7e2e2c63179a5f980d5480b079d885e07027c9","first_computed_at":"2026-05-18T04:28:36.605120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:36.605120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4q4FPpz7oguhMcuE4njQUaMOrOePoVX6jqN/jmAgY7jiPYHn5eZSwVdXfaqotDUabZSfmek9ZRe37Fpref1AAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:36.605503Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.1886","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ea28d3158a2191c1405b5ef26889a8ddea51f19aa87b50d5ccfcad80a03baa2","sha256:2ddf8c8f87b15a3ca29313bfcd21fbc1b405c992c91fa4deca55576ad9f63e9b"],"state_sha256":"59b68f5e7c02027c8e5ec600f851ef148efd36c6d0e1cc392a5cd18a521f1de2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gf9rtDrQymd5VnMWga9ZOfXkom4Bui98d5fnN2Co6hIBaswvZC4vQbq5M6dgq6n3eBdRYwspKbBOQ6OSE4/VCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:52:20.209323Z","bundle_sha256":"f67a63d91557e1071cd288d6dd2aeb1e2ba540c37e636ed3730f1aa634fb06ce"}}