{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:U4F6SDJGPKT6LE3YW45C4GURTQ","short_pith_number":"pith:U4F6SDJG","canonical_record":{"source":{"id":"2510.24494","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-28T15:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"b799cab951e9655a8cbb6d0d6f715342c15f5c09c02898eb4bb6eca31906af67","abstract_canon_sha256":"b409af6cb3f8e674e3598c7445fa413cf734578506d76ef20e977713c5c3de3f"},"schema_version":"1.0"},"canonical_sha256":"a70be90d267aa7e59378b73a2e1a919c351c6cb6c8071902d9d5dde476c3d72f","source":{"kind":"arxiv","id":"2510.24494","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.24494","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2510.24494v2","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.24494","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"U4F6SDJGPKT6","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"U4F6SDJGPKT6LE3Y","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"U4F6SDJG","created_at":"2026-06-25T01:17:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:U4F6SDJGPKT6LE3YW45C4GURTQ","target":"record","payload":{"canonical_record":{"source":{"id":"2510.24494","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-28T15:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"b799cab951e9655a8cbb6d0d6f715342c15f5c09c02898eb4bb6eca31906af67","abstract_canon_sha256":"b409af6cb3f8e674e3598c7445fa413cf734578506d76ef20e977713c5c3de3f"},"schema_version":"1.0"},"canonical_sha256":"a70be90d267aa7e59378b73a2e1a919c351c6cb6c8071902d9d5dde476c3d72f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-25T01:17:47.288257Z","signature_b64":"TZjQMrrvvW09o37DKit4L8j0WkP/Kf1KiN+aNkuvykWYc2RhVLGJs0IcgDa5twrbPOMWHE642+ve+lLBpFp0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a70be90d267aa7e59378b73a2e1a919c351c6cb6c8071902d9d5dde476c3d72f","last_reissued_at":"2026-06-25T01:17:47.287741Z","signature_status":"signed_v1","first_computed_at":"2026-06-25T01:17:47.287741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.24494","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":"2026-06-25T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v78JWIZriC81X2LwE2RysZ07OfSllzIUx0LToES0ybW3ikDnHEbbu0xBtQgeQhj3sAvNNE5A4BLEAlbGCACnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:55:18.674751Z"},"content_sha256":"5a2c366d3c072c03a0e51fee14f0473edd159170ee1fd3ff92079689bcd5a987","schema_version":"1.0","event_id":"sha256:5a2c366d3c072c03a0e51fee14f0473edd159170ee1fd3ff92079689bcd5a987"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:U4F6SDJGPKT6LE3YW45C4GURTQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"AI for Pattern Hunter: Application in Wilson Loop of 2D Lattice Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bo Feng, Gang Yang, Guorui Zhu, Jiaqi Chen, Ming-Xing Luo, Wenjie He, Zeyu Li","submitted_at":"2025-10-28T15:09:33Z","abstract_excerpt":"We employ the Transformer to learn patterns in two-dimensional lattice Yang-Mills theory. Specifically, we represent both Wilson loops and their expectation values as tokenized sequences. Taking the shape of Wilson loops as input, the model successfully predicts expectation values with high accuracy, indicating a meaningful connection between loop geometry and physical results. Our study differs from prior machine learning applications in lattice QCD by emphasizing analytical structures rather than numerical computations. We explore model performance under varying hyperparameters, training dat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.24494","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.24494/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":"2026-06-25T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xVPdDGUzuG5guEyEzwC8gb9PWowPQQpEM8yXud0Vt3EGgnRYYIH4tnF0p/VDsJBUmSw5N8EeGe9pZzHU+4u9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:55:18.675113Z"},"content_sha256":"02abbe69bde21655d0f7266d5c641361170630d1ce30588511e5862f4828f6fa","schema_version":"1.0","event_id":"sha256:02abbe69bde21655d0f7266d5c641361170630d1ce30588511e5862f4828f6fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4F6SDJGPKT6LE3YW45C4GURTQ/bundle.json","state_url":"https://pith.science/pith/U4F6SDJGPKT6LE3YW45C4GURTQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4F6SDJGPKT6LE3YW45C4GURTQ/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":"2026-06-27T18:55:18Z","links":{"resolver":"https://pith.science/pith/U4F6SDJGPKT6LE3YW45C4GURTQ","bundle":"https://pith.science/pith/U4F6SDJGPKT6LE3YW45C4GURTQ/bundle.json","state":"https://pith.science/pith/U4F6SDJGPKT6LE3YW45C4GURTQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4F6SDJGPKT6LE3YW45C4GURTQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:U4F6SDJGPKT6LE3YW45C4GURTQ","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":"b409af6cb3f8e674e3598c7445fa413cf734578506d76ef20e977713c5c3de3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-28T15:09:33Z","title_canon_sha256":"b799cab951e9655a8cbb6d0d6f715342c15f5c09c02898eb4bb6eca31906af67"},"schema_version":"1.0","source":{"id":"2510.24494","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.24494","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2510.24494v2","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.24494","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"U4F6SDJGPKT6","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"U4F6SDJGPKT6LE3Y","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"U4F6SDJG","created_at":"2026-06-25T01:17:47Z"}],"graph_snapshots":[{"event_id":"sha256:02abbe69bde21655d0f7266d5c641361170630d1ce30588511e5862f4828f6fa","target":"graph","created_at":"2026-06-25T01:17:47Z","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/2510.24494/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We employ the Transformer to learn patterns in two-dimensional lattice Yang-Mills theory. Specifically, we represent both Wilson loops and their expectation values as tokenized sequences. Taking the shape of Wilson loops as input, the model successfully predicts expectation values with high accuracy, indicating a meaningful connection between loop geometry and physical results. Our study differs from prior machine learning applications in lattice QCD by emphasizing analytical structures rather than numerical computations. We explore model performance under varying hyperparameters, training dat","authors_text":"Bo Feng, Gang Yang, Guorui Zhu, Jiaqi Chen, Ming-Xing Luo, Wenjie He, Zeyu Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-28T15:09:33Z","title":"AI for Pattern Hunter: Application in Wilson Loop of 2D Lattice Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.24494","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":"sha256:5a2c366d3c072c03a0e51fee14f0473edd159170ee1fd3ff92079689bcd5a987","target":"record","created_at":"2026-06-25T01:17:47Z","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":"b409af6cb3f8e674e3598c7445fa413cf734578506d76ef20e977713c5c3de3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-28T15:09:33Z","title_canon_sha256":"b799cab951e9655a8cbb6d0d6f715342c15f5c09c02898eb4bb6eca31906af67"},"schema_version":"1.0","source":{"id":"2510.24494","kind":"arxiv","version":2}},"canonical_sha256":"a70be90d267aa7e59378b73a2e1a919c351c6cb6c8071902d9d5dde476c3d72f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a70be90d267aa7e59378b73a2e1a919c351c6cb6c8071902d9d5dde476c3d72f","first_computed_at":"2026-06-25T01:17:47.287741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:17:47.287741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TZjQMrrvvW09o37DKit4L8j0WkP/Kf1KiN+aNkuvykWYc2RhVLGJs0IcgDa5twrbPOMWHE642+ve+lLBpFp0Aw==","signature_status":"signed_v1","signed_at":"2026-06-25T01:17:47.288257Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.24494","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a2c366d3c072c03a0e51fee14f0473edd159170ee1fd3ff92079689bcd5a987","sha256:02abbe69bde21655d0f7266d5c641361170630d1ce30588511e5862f4828f6fa"],"state_sha256":"8fc91b0171009510ddee09ac9a100f4a452a07927147952f4350a5e446264c08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"urmHIw6VQoLF62hVL9A11ltv0EGe8PYdiHFbVRcgi5bm8xaBK9onCwYmK5sVSU7rtF2WdPKd/5d3NuYpb+8/Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:55:18.677093Z","bundle_sha256":"f2dcf357a8d78ba5c55bd4caa8d1d48c237543542419efb6e0d42ede8eb43e78"}}