{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:JPAGPWX6MMSPTOTHZHBVAX5NQF","short_pith_number":"pith:JPAGPWX6","canonical_record":{"source":{"id":"2510.01328","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-01T18:00:34Z","cross_cats_sorted":["cond-mat.dis-nn","cs.LG"],"title_canon_sha256":"35937610d14e89ee2ba2791ecffe209a5406d1afd5fc91400fb381863ab7b1d2","abstract_canon_sha256":"bc0625ab6f1d9d8d882c6a78c1342d65806b06ca2b4f60ae846b7cd29a08bfaa"},"schema_version":"1.0"},"canonical_sha256":"4bc067dafe6324f9ba67c9c3505fad81587679f8e1024c1148e8e94d47f30202","source":{"kind":"arxiv","id":"2510.01328","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.01328","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"arxiv_version","alias_value":"2510.01328v1","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.01328","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"pith_short_12","alias_value":"JPAGPWX6MMSP","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"pith_short_16","alias_value":"JPAGPWX6MMSPTOTH","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"pith_short_8","alias_value":"JPAGPWX6","created_at":"2026-07-14T01:20:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:JPAGPWX6MMSPTOTHZHBVAX5NQF","target":"record","payload":{"canonical_record":{"source":{"id":"2510.01328","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-01T18:00:34Z","cross_cats_sorted":["cond-mat.dis-nn","cs.LG"],"title_canon_sha256":"35937610d14e89ee2ba2791ecffe209a5406d1afd5fc91400fb381863ab7b1d2","abstract_canon_sha256":"bc0625ab6f1d9d8d882c6a78c1342d65806b06ca2b4f60ae846b7cd29a08bfaa"},"schema_version":"1.0"},"canonical_sha256":"4bc067dafe6324f9ba67c9c3505fad81587679f8e1024c1148e8e94d47f30202","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:20:46.472058Z","signature_b64":"xfJxbNy0eEaCljD5CoSB5eguskuO1WfivrV3LKm6K3klnfQWR5ej3MEZigeh6ujCl2cZNagxsvN+34IVKWOgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bc067dafe6324f9ba67c9c3505fad81587679f8e1024c1148e8e94d47f30202","last_reissued_at":"2026-07-14T01:20:46.471094Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:20:46.471094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.01328","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-14T01:20:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YhORM1ja92rdgwj0FWFwNjxoMcWLnWBRvGCTJXtwD+xdi/fTyU2aUNXgPrL54UBbZ5ESlNjQJ6OxlqizjWfWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T19:07:28.427689Z"},"content_sha256":"76e29334b16b2c01c274ccf04599a6a979dcea68dec617c23eb8c255c6e83141","schema_version":"1.0","event_id":"sha256:76e29334b16b2c01c274ccf04599a6a979dcea68dec617c23eb8c255c6e83141"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:JPAGPWX6MMSPTOTHZHBVAX5NQF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Combining complex Langevin dynamics with score-based and energy-based diffusion models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","cs.LG"],"primary_cat":"hep-lat","authors_text":"Diaa E. Habibi, Gert Aarts, Kai Zhou, Lingxiao Wang","submitted_at":"2025-10-01T18:00:34Z","abstract_excerpt":"Theories with a sign problem due to a complex action or Boltzmann weight can sometimes be numerically solved using a stochastic process in the complexified configuration space. However, the probability distribution effectively sampled by this complex Langevin process is not known a priori and notoriously hard to understand. In generative AI, diffusion models can learn distributions, or their log derivatives, from data. We explore the ability of diffusion models to learn the distributions sampled by a complex Langevin process, comparing score-based and energy-based diffusion models, and specula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.01328","kind":"arxiv","version":1},"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/2510.01328/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":"2026-07-14T01:20:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9HgDpmLYa2ZgDHWKCqk5U2LVylQJGrlgBje9Dfx3MV0hHAh5jRvurdC8Oh7EtavnkfubFo6Eo01MUti91NZjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T19:07:28.428087Z"},"content_sha256":"911caa50bf481ebd50f3408824e58d2572dc232bcdccf5f01b19897ad9531185","schema_version":"1.0","event_id":"sha256:911caa50bf481ebd50f3408824e58d2572dc232bcdccf5f01b19897ad9531185"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF/bundle.json","state_url":"https://pith.science/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF/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":"2026-08-02T19:07:28Z","links":{"resolver":"https://pith.science/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF","bundle":"https://pith.science/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF/bundle.json","state":"https://pith.science/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPAGPWX6MMSPTOTHZHBVAX5NQF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JPAGPWX6MMSPTOTHZHBVAX5NQF","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":"bc0625ab6f1d9d8d882c6a78c1342d65806b06ca2b4f60ae846b7cd29a08bfaa","cross_cats_sorted":["cond-mat.dis-nn","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-01T18:00:34Z","title_canon_sha256":"35937610d14e89ee2ba2791ecffe209a5406d1afd5fc91400fb381863ab7b1d2"},"schema_version":"1.0","source":{"id":"2510.01328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.01328","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"arxiv_version","alias_value":"2510.01328v1","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.01328","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"pith_short_12","alias_value":"JPAGPWX6MMSP","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"pith_short_16","alias_value":"JPAGPWX6MMSPTOTH","created_at":"2026-07-14T01:20:46Z"},{"alias_kind":"pith_short_8","alias_value":"JPAGPWX6","created_at":"2026-07-14T01:20:46Z"}],"graph_snapshots":[{"event_id":"sha256:911caa50bf481ebd50f3408824e58d2572dc232bcdccf5f01b19897ad9531185","target":"graph","created_at":"2026-07-14T01:20:46Z","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/2510.01328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Theories with a sign problem due to a complex action or Boltzmann weight can sometimes be numerically solved using a stochastic process in the complexified configuration space. However, the probability distribution effectively sampled by this complex Langevin process is not known a priori and notoriously hard to understand. In generative AI, diffusion models can learn distributions, or their log derivatives, from data. We explore the ability of diffusion models to learn the distributions sampled by a complex Langevin process, comparing score-based and energy-based diffusion models, and specula","authors_text":"Diaa E. Habibi, Gert Aarts, Kai Zhou, Lingxiao Wang","cross_cats":["cond-mat.dis-nn","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-01T18:00:34Z","title":"Combining complex Langevin dynamics with score-based and energy-based diffusion models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.01328","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":"sha256:76e29334b16b2c01c274ccf04599a6a979dcea68dec617c23eb8c255c6e83141","target":"record","created_at":"2026-07-14T01:20:46Z","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":"bc0625ab6f1d9d8d882c6a78c1342d65806b06ca2b4f60ae846b7cd29a08bfaa","cross_cats_sorted":["cond-mat.dis-nn","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-10-01T18:00:34Z","title_canon_sha256":"35937610d14e89ee2ba2791ecffe209a5406d1afd5fc91400fb381863ab7b1d2"},"schema_version":"1.0","source":{"id":"2510.01328","kind":"arxiv","version":1}},"canonical_sha256":"4bc067dafe6324f9ba67c9c3505fad81587679f8e1024c1148e8e94d47f30202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bc067dafe6324f9ba67c9c3505fad81587679f8e1024c1148e8e94d47f30202","first_computed_at":"2026-07-14T01:20:46.471094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:20:46.471094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xfJxbNy0eEaCljD5CoSB5eguskuO1WfivrV3LKm6K3klnfQWR5ej3MEZigeh6ujCl2cZNagxsvN+34IVKWOgCQ==","signature_status":"signed_v1","signed_at":"2026-07-14T01:20:46.472058Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.01328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76e29334b16b2c01c274ccf04599a6a979dcea68dec617c23eb8c255c6e83141","sha256:911caa50bf481ebd50f3408824e58d2572dc232bcdccf5f01b19897ad9531185"],"state_sha256":"7b1fcb4978a805d8f5e4965e44b53712f510bc33a3472b38ca64adba29559e52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8wMdNCo0cr7ANON9IrXcxFktq19TdMeUk0bf+nRupMFhuk7pWt76CE9d3FGcsUmLuTcto1hdhuHaV56tuy8ICw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T19:07:28.431043Z","bundle_sha256":"fa64c24de96e09a0fad97cb2716ddc84158a572fadaa2fb4485c772f3af9ab57"}}