{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VEWMOXEZZTCEMI2N6MIV2ZKEZC","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":"ab90c518f8ec2612e2761949db00c4adb259c0dcde625a33e19696854d5dbc82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-20T05:33:32Z","title_canon_sha256":"81f6603414bd35fe9d218b7f04995e0550543e9abe9c8da905024205b9a47af5"},"schema_version":"1.0","source":{"id":"2503.15860","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.15860","created_at":"2026-07-05T10:36:00Z"},{"alias_kind":"arxiv_version","alias_value":"2503.15860v1","created_at":"2026-07-05T10:36:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.15860","created_at":"2026-07-05T10:36:00Z"},{"alias_kind":"pith_short_12","alias_value":"VEWMOXEZZTCE","created_at":"2026-07-05T10:36:00Z"},{"alias_kind":"pith_short_16","alias_value":"VEWMOXEZZTCEMI2N","created_at":"2026-07-05T10:36:00Z"},{"alias_kind":"pith_short_8","alias_value":"VEWMOXEZ","created_at":"2026-07-05T10:36:00Z"}],"graph_snapshots":[{"event_id":"sha256:470033deaccfa1dabde37c7050b44409e4ee1fbbebb2d6feb3d7922b420aaa53","target":"graph","created_at":"2026-07-05T10:36:00Z","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/2503.15860/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this letter, we generalize the recursion methods based on cut equations arXiv:2412.21027, originally developed for scalar theories, to gluons in pure Yang-Mills theory. In gauge theories, planar loop integrands are subtle to defined and obtained due to the existence of scaleless integrals. A critical challenge arises when constructing higher-loop integrands via recursion methods: integrands with or without all scaleless terms both are incompatible with the reconstruction formalism in arXiv:2412.21027. To address this, we introduce a $\\textit{refined}$ integrand by systematically removing sp","authors_text":"Fan Zhu, Qu Cao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-20T05:33:32Z","title":"All-loop planar integrands in Yang-Mills theory from recursion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.15860","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:e5fad4f8fccc18d466854aacb803d3ad6bae00ca801ae1dcfe7f4d2c42691273","target":"record","created_at":"2026-07-05T10:36:00Z","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":"ab90c518f8ec2612e2761949db00c4adb259c0dcde625a33e19696854d5dbc82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-20T05:33:32Z","title_canon_sha256":"81f6603414bd35fe9d218b7f04995e0550543e9abe9c8da905024205b9a47af5"},"schema_version":"1.0","source":{"id":"2503.15860","kind":"arxiv","version":1}},"canonical_sha256":"a92cc75c99ccc446234df3115d6544c89970f803c35588e090245e991f4714b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a92cc75c99ccc446234df3115d6544c89970f803c35588e090245e991f4714b2","first_computed_at":"2026-07-05T10:36:00.121577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:36:00.121577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6h48YEWu/SpYXYR2zWwB9thIYmUT1yX38XkNjTozH6cupEJWQi5MZy6ZTWUCkJ0Ptrgtw9UP29dOGhLxS8F+Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:36:00.122079Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.15860","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5fad4f8fccc18d466854aacb803d3ad6bae00ca801ae1dcfe7f4d2c42691273","sha256:470033deaccfa1dabde37c7050b44409e4ee1fbbebb2d6feb3d7922b420aaa53"],"state_sha256":"5fa76176ee793c5d9b68afdcb0af40248b240f807dd9c8810d7c2d3f7a3bfe1c"}