{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MS52CRLIHPMICUGW2BHNPKPSE3","short_pith_number":"pith:MS52CRLI","canonical_record":{"source":{"id":"1712.07274","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-20T00:21:41Z","cross_cats_sorted":[],"title_canon_sha256":"f3947fb4d5d1fa4057b87d4ca2c714e3f38df3a381f68b904352d8cbc30b4e69","abstract_canon_sha256":"577852a0a24dccb760ff8cadeff122df7ca70023f402b9a7415d0c3ec358a162"},"schema_version":"1.0"},"canonical_sha256":"64bba145683bd88150d6d04ed7a9f226c3d35da755bf31bd64d6651b7cd20850","source":{"kind":"arxiv","id":"1712.07274","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07274","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07274v2","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07274","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"MS52CRLIHPMI","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MS52CRLIHPMICUGW","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MS52CRLI","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MS52CRLIHPMICUGW2BHNPKPSE3","target":"record","payload":{"canonical_record":{"source":{"id":"1712.07274","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-20T00:21:41Z","cross_cats_sorted":[],"title_canon_sha256":"f3947fb4d5d1fa4057b87d4ca2c714e3f38df3a381f68b904352d8cbc30b4e69","abstract_canon_sha256":"577852a0a24dccb760ff8cadeff122df7ca70023f402b9a7415d0c3ec358a162"},"schema_version":"1.0"},"canonical_sha256":"64bba145683bd88150d6d04ed7a9f226c3d35da755bf31bd64d6651b7cd20850","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:45.018423Z","signature_b64":"4PBWM5IpVJHEE9hVUvIbBueWZBwr8kEd1vLt5jw/nzz3OZMX17B4iRgGXpZrOUuOHMvJMS3pdWbZD0619xktBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64bba145683bd88150d6d04ed7a9f226c3d35da755bf31bd64d6651b7cd20850","last_reissued_at":"2026-05-18T00:23:45.017892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:45.017892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.07274","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":"2026-05-18T00:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"81TyVZ+yNyGbUXOAMMvFEWqalVOMdMlwYPsU+PBRoOPmO2p0iISAASTKAc5Jm6cQBPbxb93Nd4gCu69/l++rBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T05:30:11.049440Z"},"content_sha256":"12dbf04ab07ae639dcff18e332358bbbb0d674d91ac3dc53311568587e84b7f5","schema_version":"1.0","event_id":"sha256:12dbf04ab07ae639dcff18e332358bbbb0d674d91ac3dc53311568587e84b7f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MS52CRLIHPMICUGW2BHNPKPSE3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Lance J. Dixon","submitted_at":"2017-12-20T00:21:41Z","abstract_excerpt":"We use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar ${\\cal N}=4$ super-Yang-Mills theory from recent QCD results, obtaining $\\hat{\\cal G}_{0}^{(4)} = - 300 \\zeta_7 - 256 \\zeta_2 \\zeta_5 - 384 \\zeta_3 \\zeta_4$. This value agrees with a previous numerical result to within 0.2 percent. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07274","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":"2026-05-18T00:23:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vC5h+uloPnWEjNHVOhjY2AMmyiUZhD9Ab7U4bHyskpKFCdE8ADYSCIAeRWNE4FHaSLLDIs61TH6GQXbcwJcMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T05:30:11.050012Z"},"content_sha256":"04cab23221e617537f40883f0f456f8e1bca106054ff8972b74fb8ceca50e4de","schema_version":"1.0","event_id":"sha256:04cab23221e617537f40883f0f456f8e1bca106054ff8972b74fb8ceca50e4de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MS52CRLIHPMICUGW2BHNPKPSE3/bundle.json","state_url":"https://pith.science/pith/MS52CRLIHPMICUGW2BHNPKPSE3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MS52CRLIHPMICUGW2BHNPKPSE3/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":"2026-06-30T05:30:11Z","links":{"resolver":"https://pith.science/pith/MS52CRLIHPMICUGW2BHNPKPSE3","bundle":"https://pith.science/pith/MS52CRLIHPMICUGW2BHNPKPSE3/bundle.json","state":"https://pith.science/pith/MS52CRLIHPMICUGW2BHNPKPSE3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MS52CRLIHPMICUGW2BHNPKPSE3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MS52CRLIHPMICUGW2BHNPKPSE3","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":"577852a0a24dccb760ff8cadeff122df7ca70023f402b9a7415d0c3ec358a162","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-20T00:21:41Z","title_canon_sha256":"f3947fb4d5d1fa4057b87d4ca2c714e3f38df3a381f68b904352d8cbc30b4e69"},"schema_version":"1.0","source":{"id":"1712.07274","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07274","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07274v2","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07274","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"MS52CRLIHPMI","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MS52CRLIHPMICUGW","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MS52CRLI","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:04cab23221e617537f40883f0f456f8e1bca106054ff8972b74fb8ceca50e4de","target":"graph","created_at":"2026-05-18T00:23:45Z","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 use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar ${\\cal N}=4$ super-Yang-Mills theory from recent QCD results, obtaining $\\hat{\\cal G}_{0}^{(4)} = - 300 \\zeta_7 - 256 \\zeta_2 \\zeta_5 - 384 \\zeta_3 \\zeta_4$. This value agrees with a previous numerical result to within 0.2 percent. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.","authors_text":"Lance J. Dixon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-20T00:21:41Z","title":"The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07274","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":"sha256:12dbf04ab07ae639dcff18e332358bbbb0d674d91ac3dc53311568587e84b7f5","target":"record","created_at":"2026-05-18T00:23:45Z","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":"577852a0a24dccb760ff8cadeff122df7ca70023f402b9a7415d0c3ec358a162","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-20T00:21:41Z","title_canon_sha256":"f3947fb4d5d1fa4057b87d4ca2c714e3f38df3a381f68b904352d8cbc30b4e69"},"schema_version":"1.0","source":{"id":"1712.07274","kind":"arxiv","version":2}},"canonical_sha256":"64bba145683bd88150d6d04ed7a9f226c3d35da755bf31bd64d6651b7cd20850","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64bba145683bd88150d6d04ed7a9f226c3d35da755bf31bd64d6651b7cd20850","first_computed_at":"2026-05-18T00:23:45.017892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:45.017892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4PBWM5IpVJHEE9hVUvIbBueWZBwr8kEd1vLt5jw/nzz3OZMX17B4iRgGXpZrOUuOHMvJMS3pdWbZD0619xktBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:45.018423Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.07274","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12dbf04ab07ae639dcff18e332358bbbb0d674d91ac3dc53311568587e84b7f5","sha256:04cab23221e617537f40883f0f456f8e1bca106054ff8972b74fb8ceca50e4de"],"state_sha256":"3cf0d5979672817fb735eb5e6fa124b2ab02befdaa58f0b5f98bfb7a78bc95b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9rXk5Vct4IB3WyWYH3Vji59TNwic8s6oXYFxKsxTAAmqXjzp83MJI2u2ja+PK7HVakyKbx8TL1zHGzmaTZ+xDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T05:30:11.052984Z","bundle_sha256":"f8a1dae0de2f7336a6302ffa06a7920936cdd6c1eb43d3e81236fa3b74842c80"}}