{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:6ZKRUOJ3W5I7FGQ3AM6M4FTXDF","short_pith_number":"pith:6ZKRUOJ3","canonical_record":{"source":{"id":"2212.12559","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-12-23T19:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"0c2e15c1dc36fcb9b11e20a9b95e475ea9d61e1b13b267a356f9d3db33039c13","abstract_canon_sha256":"f8847418d72db2376b9a60573c184d85505a20745ee5204da45ba1a4b0ebd6d9"},"schema_version":"1.0"},"canonical_sha256":"f6551a393bb751f29a1b033cce1677196df0f445103e96555ba4316420c76bb4","source":{"kind":"arxiv","id":"2212.12559","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.12559","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"2212.12559v1","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.12559","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"6ZKRUOJ3W5I7","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"pith_short_16","alias_value":"6ZKRUOJ3W5I7FGQ3","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"pith_short_8","alias_value":"6ZKRUOJ3","created_at":"2026-07-05T06:04:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:6ZKRUOJ3W5I7FGQ3AM6M4FTXDF","target":"record","payload":{"canonical_record":{"source":{"id":"2212.12559","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-12-23T19:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"0c2e15c1dc36fcb9b11e20a9b95e475ea9d61e1b13b267a356f9d3db33039c13","abstract_canon_sha256":"f8847418d72db2376b9a60573c184d85505a20745ee5204da45ba1a4b0ebd6d9"},"schema_version":"1.0"},"canonical_sha256":"f6551a393bb751f29a1b033cce1677196df0f445103e96555ba4316420c76bb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:04:53.096418Z","signature_b64":"2Q1ExugERgyH6judVdmxFjEiuaXDKYLa83QdDizeMw3olTyg+FxgD/DjYSE0x8OEgci0fRMmt1LQPa8OxfwiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6551a393bb751f29a1b033cce1677196df0f445103e96555ba4316420c76bb4","last_reissued_at":"2026-07-05T06:04:53.095950Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:04:53.095950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.12559","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":"2026-07-05T06:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5I2YIvf4psS9AgZXRbQkyhgRVBSzLIBMOOAqz7d5N03ScmcrYNykPqgHGFkC+nIhUi73pUpyIISFytqKnX8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:20:26.092143Z"},"content_sha256":"b6d229098619156c5bb08d50bd81af11f3dffbda829e799a62bc107004a1e0ab","schema_version":"1.0","event_id":"sha256:b6d229098619156c5bb08d50bd81af11f3dffbda829e799a62bc107004a1e0ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:6ZKRUOJ3W5I7FGQ3AM6M4FTXDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimizing Staggered Multigrid for Exascale performance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Evan Weinberg, M.A. Clark, Mathias Wagner, Richard Brower, Venkitesh Ayyar","submitted_at":"2022-12-23T19:27:15Z","abstract_excerpt":"Adaptive multi-grid methods have proven very successful in dealing with critical slow down for the Wilson-Dirac solver in lattice gauge theory. Multi-grid algorithms developed for Staggered fermions using the K\\\"ahler-Dirac preconditioning~\\cite{Brower:2018ymy} have shown remarkable success. In this work, we discuss the performance of this staggered multi-grid algorithm in four dimensions. We also demonstrate that offloading some components of a multi-shift solve to a multi-grid solver leads to a significant performance improvement in an existing MILC spectrum workflow on the Summit and Selene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.12559","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/2212.12559/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":"2026-07-05T06:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XaHy9/cKmx4XiRKbTqjKVDux7O+hNWjVOnZ6u0Z60LJBWr2YWf0Hl1om4ZYKt8ZDwY3YdfQ6jPVcFmri6AgwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T06:20:26.092733Z"},"content_sha256":"af5e1e5089d40989eddc9c502ab3e9e9cf9cb9ae8c50a96fb6921a571e740c2c","schema_version":"1.0","event_id":"sha256:af5e1e5089d40989eddc9c502ab3e9e9cf9cb9ae8c50a96fb6921a571e740c2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF/bundle.json","state_url":"https://pith.science/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF/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":"2026-08-12T06:20:26Z","links":{"resolver":"https://pith.science/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF","bundle":"https://pith.science/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF/bundle.json","state":"https://pith.science/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZKRUOJ3W5I7FGQ3AM6M4FTXDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:6ZKRUOJ3W5I7FGQ3AM6M4FTXDF","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":"f8847418d72db2376b9a60573c184d85505a20745ee5204da45ba1a4b0ebd6d9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-12-23T19:27:15Z","title_canon_sha256":"0c2e15c1dc36fcb9b11e20a9b95e475ea9d61e1b13b267a356f9d3db33039c13"},"schema_version":"1.0","source":{"id":"2212.12559","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.12559","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"2212.12559v1","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.12559","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"6ZKRUOJ3W5I7","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"pith_short_16","alias_value":"6ZKRUOJ3W5I7FGQ3","created_at":"2026-07-05T06:04:53Z"},{"alias_kind":"pith_short_8","alias_value":"6ZKRUOJ3","created_at":"2026-07-05T06:04:53Z"}],"graph_snapshots":[{"event_id":"sha256:af5e1e5089d40989eddc9c502ab3e9e9cf9cb9ae8c50a96fb6921a571e740c2c","target":"graph","created_at":"2026-07-05T06:04:53Z","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/2212.12559/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Adaptive multi-grid methods have proven very successful in dealing with critical slow down for the Wilson-Dirac solver in lattice gauge theory. Multi-grid algorithms developed for Staggered fermions using the K\\\"ahler-Dirac preconditioning~\\cite{Brower:2018ymy} have shown remarkable success. In this work, we discuss the performance of this staggered multi-grid algorithm in four dimensions. We also demonstrate that offloading some components of a multi-shift solve to a multi-grid solver leads to a significant performance improvement in an existing MILC spectrum workflow on the Summit and Selene","authors_text":"Evan Weinberg, M.A. Clark, Mathias Wagner, Richard Brower, Venkitesh Ayyar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-12-23T19:27:15Z","title":"Optimizing Staggered Multigrid for Exascale performance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.12559","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:b6d229098619156c5bb08d50bd81af11f3dffbda829e799a62bc107004a1e0ab","target":"record","created_at":"2026-07-05T06:04:53Z","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":"f8847418d72db2376b9a60573c184d85505a20745ee5204da45ba1a4b0ebd6d9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2022-12-23T19:27:15Z","title_canon_sha256":"0c2e15c1dc36fcb9b11e20a9b95e475ea9d61e1b13b267a356f9d3db33039c13"},"schema_version":"1.0","source":{"id":"2212.12559","kind":"arxiv","version":1}},"canonical_sha256":"f6551a393bb751f29a1b033cce1677196df0f445103e96555ba4316420c76bb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6551a393bb751f29a1b033cce1677196df0f445103e96555ba4316420c76bb4","first_computed_at":"2026-07-05T06:04:53.095950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:04:53.095950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Q1ExugERgyH6judVdmxFjEiuaXDKYLa83QdDizeMw3olTyg+FxgD/DjYSE0x8OEgci0fRMmt1LQPa8OxfwiAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:04:53.096418Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.12559","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6d229098619156c5bb08d50bd81af11f3dffbda829e799a62bc107004a1e0ab","sha256:af5e1e5089d40989eddc9c502ab3e9e9cf9cb9ae8c50a96fb6921a571e740c2c"],"state_sha256":"d3a6495b9dcfbbf3211aaed3ffacfccacfbfa4e0e251dcd9eae5db4d926550a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"840hxoCiJHNNvukcDletLzQh1xL3gDJ6zbAWwJVJISR+E2dIp5SJ+zjFdGdV+VdgV4GSOil8eAGim3mlIZvwAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T06:20:26.102120Z","bundle_sha256":"3580345b2ffbc49f1df001f006b1d817a1127be0af6ab5e37f68945d4705deea"}}