{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:4PDDDHVXQEYS4XXAF6QS55XNDP","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":"640692239069d599f381ab7f1fcb5f7dda2df87bf6209bf3122ca4183dcac320","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-15T04:08:02Z","title_canon_sha256":"c6fc4c026731077c7751c08af4bb7a2cf70fec7892b57f2eb5b1b6158d32780d"},"schema_version":"1.0","source":{"id":"2207.07280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.07280","created_at":"2026-07-05T04:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"2207.07280v1","created_at":"2026-07-05T04:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.07280","created_at":"2026-07-05T04:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"4PDDDHVXQEYS","created_at":"2026-07-05T04:59:28Z"},{"alias_kind":"pith_short_16","alias_value":"4PDDDHVXQEYS4XXA","created_at":"2026-07-05T04:59:28Z"},{"alias_kind":"pith_short_8","alias_value":"4PDDDHVX","created_at":"2026-07-05T04:59:28Z"}],"graph_snapshots":[{"event_id":"sha256:66933b433342846ff97a5afa0fbb8e4919910f346bc4d305b50495f0c13e8e2f","target":"graph","created_at":"2026-07-05T04:59:28Z","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/2207.07280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-loop proof of TMD factorization of the form factor. For the one-loop validation, we also present a detailed calculation of ${\\cal O}(\\alpha_s)$ perturbative corrections to these quantities, in which we adopt a modern technique for the calculation of TMD form factor based the integration by part and different","authors_text":"Jun Zeng, Wei Wang, Zhi-Fu Deng","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-15T04:08:02Z","title":"Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.07280","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":"sha256:558b370bbca3e23b946d89008ebb233bc573d0154c4197bf1a777ed6408f8788","target":"record","created_at":"2026-07-05T04:59:28Z","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":"640692239069d599f381ab7f1fcb5f7dda2df87bf6209bf3122ca4183dcac320","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-15T04:08:02Z","title_canon_sha256":"c6fc4c026731077c7751c08af4bb7a2cf70fec7892b57f2eb5b1b6158d32780d"},"schema_version":"1.0","source":{"id":"2207.07280","kind":"arxiv","version":1}},"canonical_sha256":"e3c6319eb781312e5ee02fa12ef6ed1bfe1a2f9b13e98e70557b7fb82518ddc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3c6319eb781312e5ee02fa12ef6ed1bfe1a2f9b13e98e70557b7fb82518ddc4","first_computed_at":"2026-07-05T04:59:28.166045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:59:28.166045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qt2JPH0SRKL8y4mcEIVQk76qmVZMbyqp5/pCwwkZHxIH3my45pMpDm8/DbSUZMm4NFZVRATo66SRKbXdbRJUAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:59:28.166480Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.07280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:558b370bbca3e23b946d89008ebb233bc573d0154c4197bf1a777ed6408f8788","sha256:66933b433342846ff97a5afa0fbb8e4919910f346bc4d305b50495f0c13e8e2f"],"state_sha256":"4d1a5c6cf6de6e77e76691d4b4e87aaeec9d2946dbcf73a2f6472488024bc0c0"}