{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:PVWT54IUJMEZIQPP3WQSMCFE2V","short_pith_number":"pith:PVWT54IU","canonical_record":{"source":{"id":"2502.00460","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-02-01T15:39:20Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"8fac052ffb88bedcc97336c41a833bcea3e8bd0fcca5e9538b6ec4c5240bb371","abstract_canon_sha256":"573af97965ef15bf9396041dc04f929f2247102957ac221bd433f9c929a1626a"},"schema_version":"1.0"},"canonical_sha256":"7d6d3ef1144b099441efdda12608a4d55fd7b0e56a9f0928217070e2c111c1cf","source":{"kind":"arxiv","id":"2502.00460","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.00460","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"arxiv_version","alias_value":"2502.00460v1","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.00460","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"pith_short_12","alias_value":"PVWT54IUJMEZ","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"pith_short_16","alias_value":"PVWT54IUJMEZIQPP","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"pith_short_8","alias_value":"PVWT54IU","created_at":"2026-07-05T10:08:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:PVWT54IUJMEZIQPP3WQSMCFE2V","target":"record","payload":{"canonical_record":{"source":{"id":"2502.00460","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-02-01T15:39:20Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"8fac052ffb88bedcc97336c41a833bcea3e8bd0fcca5e9538b6ec4c5240bb371","abstract_canon_sha256":"573af97965ef15bf9396041dc04f929f2247102957ac221bd433f9c929a1626a"},"schema_version":"1.0"},"canonical_sha256":"7d6d3ef1144b099441efdda12608a4d55fd7b0e56a9f0928217070e2c111c1cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:08:33.969763Z","signature_b64":"sqPynBkt2DRNh6wCfycEaiNZpt5ANXTj1B1CF1rPwT/+GKZpsSRQZUaqee8MXMZ8gCpgbOgMgcrEY6Eg2bRBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d6d3ef1144b099441efdda12608a4d55fd7b0e56a9f0928217070e2c111c1cf","last_reissued_at":"2026-07-05T10:08:33.969282Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:08:33.969282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.00460","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":"2026-07-05T10:08:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6On8a10LC9LDfx1mRzYicfEwFqVAZ4z4qd2I3h/J3ASmOe+qvtXtQxFAAu+kLzbYzkPdlzt6T7okrB2P/leMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:02:55.668060Z"},"content_sha256":"8664c5e1778ea8cd5da40cf48adf2943cc7b213c2e525802e62b94d167843f63","schema_version":"1.0","event_id":"sha256:8664c5e1778ea8cd5da40cf48adf2943cc7b213c2e525802e62b94d167843f63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:PVWT54IUJMEZIQPP3WQSMCFE2V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gradient flow of the Weinberg operator","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Boram Yoon, Emanuele Mereghetti, Jun-Sik Yoo, Rajan Gupta, Shohini Bhattacharya, Sungwoo Park, Tanmoy Bhattacharya, Vincenzo Cirigliano","submitted_at":"2025-02-01T15:39:20Z","abstract_excerpt":"We present preliminary results on the susceptibilities involving the CP-violating (CPV) Weinberg three-gluon operator and the topological $\\Theta$ term using the gradient flow scheme, and study their continuum and chiral extrapolations. These are used to provide an estimate of the $\\Theta$ induced by the Weinberg operator in theories with the Peccei-Quinn (PQ) mechanism. Combined with the calculations of the matrix elements (MEs) of quark-bilinears between nucleon states, such calculations will enable estimates of the electric dipole moments (EDMs) and CPV pion-nucleon couplings due to the Wei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.00460","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/2502.00460/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":"2026-07-05T10:08:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H8oIKqXH17qfn4LVC+nA9AqrcYm3CrSlMdPCZEwGj6cPw14tKY1ioGyQELk83Y30bQm4KTPgqF0qd9He+siFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:02:55.668638Z"},"content_sha256":"98d2981e4925dac257819ca8513df3d08cac48e75b0695c187e453b915dcfd14","schema_version":"1.0","event_id":"sha256:98d2981e4925dac257819ca8513df3d08cac48e75b0695c187e453b915dcfd14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PVWT54IUJMEZIQPP3WQSMCFE2V/bundle.json","state_url":"https://pith.science/pith/PVWT54IUJMEZIQPP3WQSMCFE2V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PVWT54IUJMEZIQPP3WQSMCFE2V/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":"2026-08-04T01:02:55Z","links":{"resolver":"https://pith.science/pith/PVWT54IUJMEZIQPP3WQSMCFE2V","bundle":"https://pith.science/pith/PVWT54IUJMEZIQPP3WQSMCFE2V/bundle.json","state":"https://pith.science/pith/PVWT54IUJMEZIQPP3WQSMCFE2V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PVWT54IUJMEZIQPP3WQSMCFE2V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PVWT54IUJMEZIQPP3WQSMCFE2V","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":"573af97965ef15bf9396041dc04f929f2247102957ac221bd433f9c929a1626a","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-02-01T15:39:20Z","title_canon_sha256":"8fac052ffb88bedcc97336c41a833bcea3e8bd0fcca5e9538b6ec4c5240bb371"},"schema_version":"1.0","source":{"id":"2502.00460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.00460","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"arxiv_version","alias_value":"2502.00460v1","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.00460","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"pith_short_12","alias_value":"PVWT54IUJMEZ","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"pith_short_16","alias_value":"PVWT54IUJMEZIQPP","created_at":"2026-07-05T10:08:33Z"},{"alias_kind":"pith_short_8","alias_value":"PVWT54IU","created_at":"2026-07-05T10:08:33Z"}],"graph_snapshots":[{"event_id":"sha256:98d2981e4925dac257819ca8513df3d08cac48e75b0695c187e453b915dcfd14","target":"graph","created_at":"2026-07-05T10:08:33Z","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/2502.00460/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present preliminary results on the susceptibilities involving the CP-violating (CPV) Weinberg three-gluon operator and the topological $\\Theta$ term using the gradient flow scheme, and study their continuum and chiral extrapolations. These are used to provide an estimate of the $\\Theta$ induced by the Weinberg operator in theories with the Peccei-Quinn (PQ) mechanism. Combined with the calculations of the matrix elements (MEs) of quark-bilinears between nucleon states, such calculations will enable estimates of the electric dipole moments (EDMs) and CPV pion-nucleon couplings due to the Wei","authors_text":"Boram Yoon, Emanuele Mereghetti, Jun-Sik Yoo, Rajan Gupta, Shohini Bhattacharya, Sungwoo Park, Tanmoy Bhattacharya, Vincenzo Cirigliano","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-02-01T15:39:20Z","title":"Gradient flow of the Weinberg operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.00460","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":"sha256:8664c5e1778ea8cd5da40cf48adf2943cc7b213c2e525802e62b94d167843f63","target":"record","created_at":"2026-07-05T10:08:33Z","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":"573af97965ef15bf9396041dc04f929f2247102957ac221bd433f9c929a1626a","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2025-02-01T15:39:20Z","title_canon_sha256":"8fac052ffb88bedcc97336c41a833bcea3e8bd0fcca5e9538b6ec4c5240bb371"},"schema_version":"1.0","source":{"id":"2502.00460","kind":"arxiv","version":1}},"canonical_sha256":"7d6d3ef1144b099441efdda12608a4d55fd7b0e56a9f0928217070e2c111c1cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d6d3ef1144b099441efdda12608a4d55fd7b0e56a9f0928217070e2c111c1cf","first_computed_at":"2026-07-05T10:08:33.969282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:08:33.969282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sqPynBkt2DRNh6wCfycEaiNZpt5ANXTj1B1CF1rPwT/+GKZpsSRQZUaqee8MXMZ8gCpgbOgMgcrEY6Eg2bRBDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:08:33.969763Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.00460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8664c5e1778ea8cd5da40cf48adf2943cc7b213c2e525802e62b94d167843f63","sha256:98d2981e4925dac257819ca8513df3d08cac48e75b0695c187e453b915dcfd14"],"state_sha256":"587e5636db381f7b114f1072eb01ddc8b7c23ff6b65a8a53005aebeb0ab5e52a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X1J3U2e/7TZgLVr8pW2LH8OHD1B7tEo1iACJYl0crelyVjjwzNCx742goFm9y4FwZOId60Cqns+ZNWwqH64yAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:02:55.673632Z","bundle_sha256":"d8c224b025a7eeb200570c2b82ec95c2a7d062df409eebdf5bafd30a7f18c407"}}