{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:OWSJ4MKQ7P7EKQUNDC3EQ24PTN","short_pith_number":"pith:OWSJ4MKQ","canonical_record":{"source":{"id":"0706.2298","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2007-06-15T13:52:46Z","cross_cats_sorted":[],"title_canon_sha256":"2a41d459ac2b4eb48261203e2e1151d919f02485492d84e9f8ff86ee820efb9b","abstract_canon_sha256":"ee40af303785287bde79ff8ec92591e39376c06cae98af93f18b3daeee3d9025"},"schema_version":"1.0"},"canonical_sha256":"75a49e3150fbfe45428d18b6486b8f9b6a0273710a45ae5b89fbfa5f4b0ffa5e","source":{"kind":"arxiv","id":"0706.2298","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2298","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2298v4","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2298","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"pith_short_12","alias_value":"OWSJ4MKQ7P7E","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"OWSJ4MKQ7P7EKQUN","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"OWSJ4MKQ","created_at":"2026-07-04T15:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:OWSJ4MKQ7P7EKQUNDC3EQ24PTN","target":"record","payload":{"canonical_record":{"source":{"id":"0706.2298","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2007-06-15T13:52:46Z","cross_cats_sorted":[],"title_canon_sha256":"2a41d459ac2b4eb48261203e2e1151d919f02485492d84e9f8ff86ee820efb9b","abstract_canon_sha256":"ee40af303785287bde79ff8ec92591e39376c06cae98af93f18b3daeee3d9025"},"schema_version":"1.0"},"canonical_sha256":"75a49e3150fbfe45428d18b6486b8f9b6a0273710a45ae5b89fbfa5f4b0ffa5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:31:15.292298Z","signature_b64":"Q2sXsolhEVYaVEnr/TKiEN4SEA8zH2bA8CMfWV4jWUr4MedcCmo7HFV+0a4GMFeAe1xZVlQyzPiCkAl2Jf78Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75a49e3150fbfe45428d18b6486b8f9b6a0273710a45ae5b89fbfa5f4b0ffa5e","last_reissued_at":"2026-07-04T15:31:15.291873Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:31:15.291873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.2298","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:31:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O6bHEqeKKAAPNZ53f5cSnUIheMLbxfOJioabm6XvBwBRGxYStSkUs3NewkEe3x9Ipm/PSVQjfdPYBK4HWrXVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:45:38.083026Z"},"content_sha256":"881446b376c309d0fa648b59c4ec1e2db5e91b3824b408fa5cf7f61e90931231","schema_version":"1.0","event_id":"sha256:881446b376c309d0fa648b59c4ec1e2db5e91b3824b408fa5cf7f61e90931231"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:OWSJ4MKQ7P7EKQUNDC3EQ24PTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local coherence and deflation of the low quark modes in lattice QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Martin L\\\"uscher","submitted_at":"2007-06-15T13:52:46Z","abstract_excerpt":"The spontaneous breaking of chiral symmetry in QCD is known to be linked to a non-zero density of eigenvalues of the massless Dirac operator near the origin. Numerical studies of two-flavour QCD now suggest that the low quark modes are locally coherent to a certain extent. As a consequence, the modes can be simultaneously deflated, using local projectors, with a total computational effort proportional to the lattice volume (rather than its square). Deflation has potentially many uses in lattice QCD. The technique is here worked out for the case of quark propagator calculations, where large spe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2298","kind":"arxiv","version":4},"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/0706.2298/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":"2026-07-04T15:31:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xHKw5/xNWt+Ftr4dhp3c4E5znbzkiIwaz44Qc8/hP051IZLejhI4FmWaTc8gwnpo774c6zI8jwIbYNDn3P6oAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:45:38.084193Z"},"content_sha256":"dfda89d07785e5fcc360249b9e65455b724e7484a3e0e84644d4b662649bbb02","schema_version":"1.0","event_id":"sha256:dfda89d07785e5fcc360249b9e65455b724e7484a3e0e84644d4b662649bbb02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN/bundle.json","state_url":"https://pith.science/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN/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":"2026-08-06T17:45:38Z","links":{"resolver":"https://pith.science/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN","bundle":"https://pith.science/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN/bundle.json","state":"https://pith.science/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWSJ4MKQ7P7EKQUNDC3EQ24PTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:OWSJ4MKQ7P7EKQUNDC3EQ24PTN","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":"ee40af303785287bde79ff8ec92591e39376c06cae98af93f18b3daeee3d9025","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2007-06-15T13:52:46Z","title_canon_sha256":"2a41d459ac2b4eb48261203e2e1151d919f02485492d84e9f8ff86ee820efb9b"},"schema_version":"1.0","source":{"id":"0706.2298","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2298","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2298v4","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2298","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"pith_short_12","alias_value":"OWSJ4MKQ7P7E","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"OWSJ4MKQ7P7EKQUN","created_at":"2026-07-04T15:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"OWSJ4MKQ","created_at":"2026-07-04T15:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:dfda89d07785e5fcc360249b9e65455b724e7484a3e0e84644d4b662649bbb02","target":"graph","created_at":"2026-07-04T15:31:15Z","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/0706.2298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The spontaneous breaking of chiral symmetry in QCD is known to be linked to a non-zero density of eigenvalues of the massless Dirac operator near the origin. Numerical studies of two-flavour QCD now suggest that the low quark modes are locally coherent to a certain extent. As a consequence, the modes can be simultaneously deflated, using local projectors, with a total computational effort proportional to the lattice volume (rather than its square). Deflation has potentially many uses in lattice QCD. The technique is here worked out for the case of quark propagator calculations, where large spe","authors_text":"Martin L\\\"uscher","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2007-06-15T13:52:46Z","title":"Local coherence and deflation of the low quark modes in lattice QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2298","kind":"arxiv","version":4},"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":"sha256:881446b376c309d0fa648b59c4ec1e2db5e91b3824b408fa5cf7f61e90931231","target":"record","created_at":"2026-07-04T15:31:15Z","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":"ee40af303785287bde79ff8ec92591e39376c06cae98af93f18b3daeee3d9025","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2007-06-15T13:52:46Z","title_canon_sha256":"2a41d459ac2b4eb48261203e2e1151d919f02485492d84e9f8ff86ee820efb9b"},"schema_version":"1.0","source":{"id":"0706.2298","kind":"arxiv","version":4}},"canonical_sha256":"75a49e3150fbfe45428d18b6486b8f9b6a0273710a45ae5b89fbfa5f4b0ffa5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75a49e3150fbfe45428d18b6486b8f9b6a0273710a45ae5b89fbfa5f4b0ffa5e","first_computed_at":"2026-07-04T15:31:15.291873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:31:15.291873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2sXsolhEVYaVEnr/TKiEN4SEA8zH2bA8CMfWV4jWUr4MedcCmo7HFV+0a4GMFeAe1xZVlQyzPiCkAl2Jf78Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:31:15.292298Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.2298","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:881446b376c309d0fa648b59c4ec1e2db5e91b3824b408fa5cf7f61e90931231","sha256:dfda89d07785e5fcc360249b9e65455b724e7484a3e0e84644d4b662649bbb02"],"state_sha256":"524557aa63879bea80114cd72de6235dc536e9b5f94767828c8fe0d7d6587c82"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/r8Tv4nbDtU2TadAARoKRuw8f+tQCTUqByMnI9msG8K1z9qUJ2a6ILxPuL1dU6KDxU12e74TQyOaLDMV9/mtCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T17:45:38.093730Z","bundle_sha256":"eb2ed2ae41ed705aeed403253eb3c8b423a626d9cf1c71717e8cb26652c63c27"}}