{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:KSTC42SFDWMIIZYP56I22MPFES","short_pith_number":"pith:KSTC42SF","canonical_record":{"source":{"id":"0901.1256","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-09T16:49:03Z","cross_cats_sorted":[],"title_canon_sha256":"49654cc499506d567a657e3c5069094642048af46be0ea64f181634d7b23bcaf","abstract_canon_sha256":"84fa7b759ea4ae0fd4a50bd2b119d917eaae86fcb7e497233f18f2b5fa0966f2"},"schema_version":"1.0"},"canonical_sha256":"54a62e6a451d9884670fef91ad31e524b51fdbf3f655b15fc04051bc1ccb625b","source":{"kind":"arxiv","id":"0901.1256","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1256","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1256v3","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1256","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"KSTC42SFDWMI","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"pith_short_16","alias_value":"KSTC42SFDWMIIZYP","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"pith_short_8","alias_value":"KSTC42SF","created_at":"2026-07-04T15:40:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:KSTC42SFDWMIIZYP56I22MPFES","target":"record","payload":{"canonical_record":{"source":{"id":"0901.1256","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-09T16:49:03Z","cross_cats_sorted":[],"title_canon_sha256":"49654cc499506d567a657e3c5069094642048af46be0ea64f181634d7b23bcaf","abstract_canon_sha256":"84fa7b759ea4ae0fd4a50bd2b119d917eaae86fcb7e497233f18f2b5fa0966f2"},"schema_version":"1.0"},"canonical_sha256":"54a62e6a451d9884670fef91ad31e524b51fdbf3f655b15fc04051bc1ccb625b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:40:29.924123Z","signature_b64":"4wYtkaePws8AqDbE8vO+v/2SR4krFc9k9mZc+B+O1jyU/h/hLeaUpXw5bi5smr+9SgjA4bRoZ8UhYaLxaF8IBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54a62e6a451d9884670fef91ad31e524b51fdbf3f655b15fc04051bc1ccb625b","last_reissued_at":"2026-07-04T15:40:29.923776Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:40:29.923776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.1256","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":"2026-07-04T15:40:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t1wuw9tFT5J/lkfL79VNfFMMZqos9IZBnLiF5jmddq0bERSwQqimFGIq2MgXRYWfi3cIxyk7lygyhPx536n5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:45:26.304285Z"},"content_sha256":"a0408116ac8c5f525b8e8b7e5c2dd7033ee9696f883a1c4297f1a997b7c8cf1e","schema_version":"1.0","event_id":"sha256:a0408116ac8c5f525b8e8b7e5c2dd7033ee9696f883a1c4297f1a997b7c8cf1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:KSTC42SFDWMIIZYP56I22MPFES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four loop reciprocity of twist two operators in N=4 SYM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Beccaria, V. Forini","submitted_at":"2009-01-09T16:49:03Z","abstract_excerpt":"The four loop universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured. In this paper, we prove that it obeys a generalized Gribov-Lipatov reciprocity, previously known to hold at the three loop level."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1256","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0901.1256/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":"2026-07-04T15:40:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7wMbE45wHrU0u8on/HHFV5OCLMqWop6Z7K0O26aQOV9PKDV1ydIWdiKVrrN9SESajv/mzxILGwWGikuDAthzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:45:26.304772Z"},"content_sha256":"43784821f57381002995374ba4d70b0f479a0b7e281a42a378cbd3cbcc743286","schema_version":"1.0","event_id":"sha256:43784821f57381002995374ba4d70b0f479a0b7e281a42a378cbd3cbcc743286"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSTC42SFDWMIIZYP56I22MPFES/bundle.json","state_url":"https://pith.science/pith/KSTC42SFDWMIIZYP56I22MPFES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSTC42SFDWMIIZYP56I22MPFES/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":"2026-08-13T05:45:26Z","links":{"resolver":"https://pith.science/pith/KSTC42SFDWMIIZYP56I22MPFES","bundle":"https://pith.science/pith/KSTC42SFDWMIIZYP56I22MPFES/bundle.json","state":"https://pith.science/pith/KSTC42SFDWMIIZYP56I22MPFES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSTC42SFDWMIIZYP56I22MPFES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:KSTC42SFDWMIIZYP56I22MPFES","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":"84fa7b759ea4ae0fd4a50bd2b119d917eaae86fcb7e497233f18f2b5fa0966f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-09T16:49:03Z","title_canon_sha256":"49654cc499506d567a657e3c5069094642048af46be0ea64f181634d7b23bcaf"},"schema_version":"1.0","source":{"id":"0901.1256","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1256","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1256v3","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1256","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"KSTC42SFDWMI","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"pith_short_16","alias_value":"KSTC42SFDWMIIZYP","created_at":"2026-07-04T15:40:29Z"},{"alias_kind":"pith_short_8","alias_value":"KSTC42SF","created_at":"2026-07-04T15:40:29Z"}],"graph_snapshots":[{"event_id":"sha256:43784821f57381002995374ba4d70b0f479a0b7e281a42a378cbd3cbcc743286","target":"graph","created_at":"2026-07-04T15:40:29Z","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/0901.1256/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The four loop universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured. In this paper, we prove that it obeys a generalized Gribov-Lipatov reciprocity, previously known to hold at the three loop level.","authors_text":"M. Beccaria, V. Forini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-09T16:49:03Z","title":"Four loop reciprocity of twist two operators in N=4 SYM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1256","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:a0408116ac8c5f525b8e8b7e5c2dd7033ee9696f883a1c4297f1a997b7c8cf1e","target":"record","created_at":"2026-07-04T15:40:29Z","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":"84fa7b759ea4ae0fd4a50bd2b119d917eaae86fcb7e497233f18f2b5fa0966f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-09T16:49:03Z","title_canon_sha256":"49654cc499506d567a657e3c5069094642048af46be0ea64f181634d7b23bcaf"},"schema_version":"1.0","source":{"id":"0901.1256","kind":"arxiv","version":3}},"canonical_sha256":"54a62e6a451d9884670fef91ad31e524b51fdbf3f655b15fc04051bc1ccb625b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54a62e6a451d9884670fef91ad31e524b51fdbf3f655b15fc04051bc1ccb625b","first_computed_at":"2026-07-04T15:40:29.923776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:40:29.923776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4wYtkaePws8AqDbE8vO+v/2SR4krFc9k9mZc+B+O1jyU/h/hLeaUpXw5bi5smr+9SgjA4bRoZ8UhYaLxaF8IBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:40:29.924123Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1256","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0408116ac8c5f525b8e8b7e5c2dd7033ee9696f883a1c4297f1a997b7c8cf1e","sha256:43784821f57381002995374ba4d70b0f479a0b7e281a42a378cbd3cbcc743286"],"state_sha256":"00fdc34ef5022cafd33d36e8a4133b11bc26c23a7717980ebc2da39efdd14e54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFx4j6ojp7ZayDFJNp6E+zVrdf3loQzOSjkzCaTEQ5PA3GPGyqZBLRHPMXMUWJFE3RkGQxqdKycP5rKjxIkNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T05:45:26.308565Z","bundle_sha256":"eefcaef695ffcbbfc8348b9609781aecf42f95872f9327dc0d9ac704ef15b4b8"}}