{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NVTKGBGKBXACXJLILAAZD7O4LY","short_pith_number":"pith:NVTKGBGK","canonical_record":{"source":{"id":"2201.03872","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-01-11T10:31:20Z","cross_cats_sorted":[],"title_canon_sha256":"349d4df7cc0489db92404b1761f84ab136938123f123387e78ac2b21feb70990","abstract_canon_sha256":"c3940cc8ccd7ba3bf735490b77fc2f775dcc697562000e3f7bbdc2498475bc7b"},"schema_version":"1.0"},"canonical_sha256":"6d66a304ca0dc02ba568580191fddc5e1260ff9e355854139cba8d1696255c89","source":{"kind":"arxiv","id":"2201.03872","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.03872","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"2201.03872v1","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.03872","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"NVTKGBGKBXAC","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"pith_short_16","alias_value":"NVTKGBGKBXACXJLI","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"pith_short_8","alias_value":"NVTKGBGK","created_at":"2026-07-05T03:47:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NVTKGBGKBXACXJLILAAZD7O4LY","target":"record","payload":{"canonical_record":{"source":{"id":"2201.03872","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-01-11T10:31:20Z","cross_cats_sorted":[],"title_canon_sha256":"349d4df7cc0489db92404b1761f84ab136938123f123387e78ac2b21feb70990","abstract_canon_sha256":"c3940cc8ccd7ba3bf735490b77fc2f775dcc697562000e3f7bbdc2498475bc7b"},"schema_version":"1.0"},"canonical_sha256":"6d66a304ca0dc02ba568580191fddc5e1260ff9e355854139cba8d1696255c89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:47:34.826089Z","signature_b64":"o0VLUfIvj8uuDJbDOSXEUH4XL1ZNgXS1JFeF4+fC1iWY+kjRxl36bMZ9bBpXpUEjViaEf3rwAtGK/DpHCMadCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d66a304ca0dc02ba568580191fddc5e1260ff9e355854139cba8d1696255c89","last_reissued_at":"2026-07-05T03:47:34.825572Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:47:34.825572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.03872","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":"2026-07-05T03:47:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lma5SljYCvL3yYD6yy1M3t1ffLnHBzcPuhQ+8+b6Mf2NxSt+43ULcsDiHM+/XREkm2O8Hcs3zIJMMpQgYxHzAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:26:04.435232Z"},"content_sha256":"57da9704341ec0d0899710a4bfb4c0bfcc0587733a9c057cbd4867cc87a17ea3","schema_version":"1.0","event_id":"sha256:57da9704341ec0d0899710a4bfb4c0bfcc0587733a9c057cbd4867cc87a17ea3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NVTKGBGKBXACXJLILAAZD7O4LY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implementation of Simultaneous Inversion of a Multi-shifted Dirac Matrix for Twisted-Mass Fermions within DD-{\\alpha}AMG","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Jacob Finkenrath, Shuhei Yamamoto, Simone Bacchio","submitted_at":"2022-01-11T10:31:20Z","abstract_excerpt":"At physical light quark masses, efficient linear solvers are crucial for carrying out the millions of inversions of the Dirac matrix required for obtaining high statistics in quark correlation functions. Adaptive algebraic multi-grid methods have proven to be very efficient in such cases, exhibiting mild critical slowing down towards very light quark masses and outperforming traditional solver methods, such as the conjugate gradient method, at the physical point. We will discuss our implementations of simultaneous inversion of a (degenerate) Dirac matrix for twisted-mass fermions for multiple "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.03872","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/2201.03872/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":"2026-07-05T03:47:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+eVY+Pb/eSAc5ebmD1cca3qmemzXcr/hcp8br2kKBoN5eh9ZahBo7lOljOW/F5AP8MZF5nuIXrhxSlVGhNBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:26:04.436128Z"},"content_sha256":"3075e0f67c34fad4cd430d48f8753058d7dcece216f07217d7baeea7a71864eb","schema_version":"1.0","event_id":"sha256:3075e0f67c34fad4cd430d48f8753058d7dcece216f07217d7baeea7a71864eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NVTKGBGKBXACXJLILAAZD7O4LY/bundle.json","state_url":"https://pith.science/pith/NVTKGBGKBXACXJLILAAZD7O4LY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NVTKGBGKBXACXJLILAAZD7O4LY/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":"2026-08-15T13:26:04Z","links":{"resolver":"https://pith.science/pith/NVTKGBGKBXACXJLILAAZD7O4LY","bundle":"https://pith.science/pith/NVTKGBGKBXACXJLILAAZD7O4LY/bundle.json","state":"https://pith.science/pith/NVTKGBGKBXACXJLILAAZD7O4LY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NVTKGBGKBXACXJLILAAZD7O4LY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NVTKGBGKBXACXJLILAAZD7O4LY","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":"c3940cc8ccd7ba3bf735490b77fc2f775dcc697562000e3f7bbdc2498475bc7b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-01-11T10:31:20Z","title_canon_sha256":"349d4df7cc0489db92404b1761f84ab136938123f123387e78ac2b21feb70990"},"schema_version":"1.0","source":{"id":"2201.03872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.03872","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"2201.03872v1","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.03872","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"NVTKGBGKBXAC","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"pith_short_16","alias_value":"NVTKGBGKBXACXJLI","created_at":"2026-07-05T03:47:34Z"},{"alias_kind":"pith_short_8","alias_value":"NVTKGBGK","created_at":"2026-07-05T03:47:34Z"}],"graph_snapshots":[{"event_id":"sha256:3075e0f67c34fad4cd430d48f8753058d7dcece216f07217d7baeea7a71864eb","target":"graph","created_at":"2026-07-05T03:47:34Z","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/2201.03872/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"At physical light quark masses, efficient linear solvers are crucial for carrying out the millions of inversions of the Dirac matrix required for obtaining high statistics in quark correlation functions. Adaptive algebraic multi-grid methods have proven to be very efficient in such cases, exhibiting mild critical slowing down towards very light quark masses and outperforming traditional solver methods, such as the conjugate gradient method, at the physical point. We will discuss our implementations of simultaneous inversion of a (degenerate) Dirac matrix for twisted-mass fermions for multiple ","authors_text":"Jacob Finkenrath, Shuhei Yamamoto, Simone Bacchio","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-01-11T10:31:20Z","title":"Implementation of Simultaneous Inversion of a Multi-shifted Dirac Matrix for Twisted-Mass Fermions within DD-{\\alpha}AMG"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.03872","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":"sha256:57da9704341ec0d0899710a4bfb4c0bfcc0587733a9c057cbd4867cc87a17ea3","target":"record","created_at":"2026-07-05T03:47:34Z","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":"c3940cc8ccd7ba3bf735490b77fc2f775dcc697562000e3f7bbdc2498475bc7b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-01-11T10:31:20Z","title_canon_sha256":"349d4df7cc0489db92404b1761f84ab136938123f123387e78ac2b21feb70990"},"schema_version":"1.0","source":{"id":"2201.03872","kind":"arxiv","version":1}},"canonical_sha256":"6d66a304ca0dc02ba568580191fddc5e1260ff9e355854139cba8d1696255c89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d66a304ca0dc02ba568580191fddc5e1260ff9e355854139cba8d1696255c89","first_computed_at":"2026-07-05T03:47:34.825572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:47:34.825572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o0VLUfIvj8uuDJbDOSXEUH4XL1ZNgXS1JFeF4+fC1iWY+kjRxl36bMZ9bBpXpUEjViaEf3rwAtGK/DpHCMadCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:47:34.826089Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.03872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57da9704341ec0d0899710a4bfb4c0bfcc0587733a9c057cbd4867cc87a17ea3","sha256:3075e0f67c34fad4cd430d48f8753058d7dcece216f07217d7baeea7a71864eb"],"state_sha256":"6a7b12f9a2a89f1f60209031f628b103f48e1df346fd944a15d7c6631126b6fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KsKHUUD5qxTgLCxDC7eMjGUw3hXuN3XD9thLI7FOTWFR3RIbmsbU7gFmBqnnZbgbjQxmXNh8weMI7IBVh/6PBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:26:04.440950Z","bundle_sha256":"919660768636fc864aa49bb2b220a9b381a3252d15f2eaecbcbd78f95c06b6fd"}}