{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YTRN7Z2FVPVO7N23B7J2WKFVST","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":"90c9af800658855c34cb43a9eaf6c9bd7bad51ad936582d35cf159a8f75e23af","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T11:25:49Z","title_canon_sha256":"efefb6aa95cdfaa11851378d902f576f57f78ed8160d90ccd2a26e6e985964da"},"schema_version":"1.0","source":{"id":"2305.13951","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.13951","created_at":"2026-07-05T06:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"2305.13951v2","created_at":"2026-07-05T06:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13951","created_at":"2026-07-05T06:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"YTRN7Z2FVPVO","created_at":"2026-07-05T06:49:22Z"},{"alias_kind":"pith_short_16","alias_value":"YTRN7Z2FVPVO7N23","created_at":"2026-07-05T06:49:22Z"},{"alias_kind":"pith_short_8","alias_value":"YTRN7Z2F","created_at":"2026-07-05T06:49:22Z"}],"graph_snapshots":[{"event_id":"sha256:b92aa7865a07a1fb097dbf4761524e9e9d3ddb16cf9f6c8405f9550e8b900682","target":"graph","created_at":"2026-07-05T06:49:22Z","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/2305.13951/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate two-loop non-planar triangle Feynman integrals involving elliptic curves. In contrast to the Sunrise and Banana integral families, the triangle families involve non-trivial sub-sectors. We show that the methodology developed in the context of Banana integrals can also be extended to these cases and obtain $\\varepsilon$-factorized differential equations for all sectors. The letters are combinations of modular forms on the corresponding elliptic curves and algebraic functions arising from the sub-sectors. With uniform transcendental boundary conditions, we express o","authors_text":"Jingbang Zhao, Li Lin Yang, Xing Wang, Xuhang Jiang","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T11:25:49Z","title":"$\\varepsilon$-factorized differential equations for two-loop non-planar triangle Feynman integrals with elliptic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13951","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:ed91ac4ee7b5cfa0289008c2a120ebe346b00de230a71873bd4d87982adb6e37","target":"record","created_at":"2026-07-05T06:49:22Z","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":"90c9af800658855c34cb43a9eaf6c9bd7bad51ad936582d35cf159a8f75e23af","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T11:25:49Z","title_canon_sha256":"efefb6aa95cdfaa11851378d902f576f57f78ed8160d90ccd2a26e6e985964da"},"schema_version":"1.0","source":{"id":"2305.13951","kind":"arxiv","version":2}},"canonical_sha256":"c4e2dfe745abeaefb75b0fd3ab28b594ebcd5326b3d7db863ad1ab0247032fa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4e2dfe745abeaefb75b0fd3ab28b594ebcd5326b3d7db863ad1ab0247032fa8","first_computed_at":"2026-07-05T06:49:22.588798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:49:22.588798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fp5WwEagWFO7iJLO5qdtRqMHheDQGVcO0Ep967bO+gtfVtBR5Np68oU4t+snWxjsAo3skt4Ny/L2PUP2XGJzDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:49:22.589283Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.13951","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed91ac4ee7b5cfa0289008c2a120ebe346b00de230a71873bd4d87982adb6e37","sha256:b92aa7865a07a1fb097dbf4761524e9e9d3ddb16cf9f6c8405f9550e8b900682"],"state_sha256":"bb3975713cd192490f4e314b21259095e0492d7d896797d7fac958295b4b11a1"}