{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YAW4RK7B3X2XNHXVII63BG3WKQ","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":"eec49cdd5edf072db0d36e15d2f7024bade0f74bc3a8b5278f73357b4d7fc3ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-19T18:00:00Z","title_canon_sha256":"5d9d360fc1e3e0854edab9a2f96e41bd997e2b257b3d3dee17bded6f6e3bdedf"},"schema_version":"1.0","source":{"id":"2503.15593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.15593","created_at":"2026-07-05T10:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"2503.15593v1","created_at":"2026-07-05T10:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.15593","created_at":"2026-07-05T10:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"YAW4RK7B3X2X","created_at":"2026-07-05T10:35:53Z"},{"alias_kind":"pith_short_16","alias_value":"YAW4RK7B3X2XNHXV","created_at":"2026-07-05T10:35:53Z"},{"alias_kind":"pith_short_8","alias_value":"YAW4RK7B","created_at":"2026-07-05T10:35:53Z"}],"graph_snapshots":[{"event_id":"sha256:0a09a12e28080660f9bdf8492ea56571fcf812e3b6a4823eb0aa067193528488","target":"graph","created_at":"2026-07-05T10:35:53Z","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/2503.15593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the 4-point correlation function and amplitude in planar, maximally supersymmetric Yang-Mills theory to 12 loops. We find that the recently-introduced 'double-triangle' rule in fact implies the previously described square and pentagon rules; and when applied to 12 loops, it fully determines the 11-loop correlator and fixes all but 3 of the (22,024,902) 12-loop coefficients; these remaining coefficients can be subsequently fixed using the '(single-)triangle' rule. Not only do we confirm the Catalan conjecture for anti-prism graphs, but we discover evidence for a greatly generalized","authors_text":"Canxin Shi, Jacob L. Bourjaily, Song He, Yichao Tang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-19T18:00:00Z","title":"The Four-Point Correlator of Planar sYM at Twelve Loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.15593","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":"sha256:2158776ec286a4593ccd1073aec4c88e74ace7b1e0328fcf546683fa1ffecd0a","target":"record","created_at":"2026-07-05T10:35:53Z","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":"eec49cdd5edf072db0d36e15d2f7024bade0f74bc3a8b5278f73357b4d7fc3ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-19T18:00:00Z","title_canon_sha256":"5d9d360fc1e3e0854edab9a2f96e41bd997e2b257b3d3dee17bded6f6e3bdedf"},"schema_version":"1.0","source":{"id":"2503.15593","kind":"arxiv","version":1}},"canonical_sha256":"c02dc8abe1ddf5769ef5423db09b76540797a1df77fa3a95116881b47d974bce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c02dc8abe1ddf5769ef5423db09b76540797a1df77fa3a95116881b47d974bce","first_computed_at":"2026-07-05T10:35:53.614632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:35:53.614632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eCMKYTa1nnqsQNCCqiaCQ9uAdHcCFXL7prnPWTnyEM8qaTtyfIb9yDsckfeNuIRrkxX2uFLTZp5DRU+Oi94oCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:35:53.615313Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.15593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2158776ec286a4593ccd1073aec4c88e74ace7b1e0328fcf546683fa1ffecd0a","sha256:0a09a12e28080660f9bdf8492ea56571fcf812e3b6a4823eb0aa067193528488"],"state_sha256":"d5866d0856362f64cea457a1277911ca507cdbf073116aed0174c69288b2af4b"}