{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:AJX5A3WW74JRVODCOA4GLQT4MA","short_pith_number":"pith:AJX5A3WW","canonical_record":{"source":{"id":"hep-lat/9506020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1995-06-13T07:43:48Z","cross_cats_sorted":[],"title_canon_sha256":"f916dc8b5b8b43495ba88155619812dd61e4636defea0ad499c7e1affcfae91e","abstract_canon_sha256":"b73b16615dc14b1310d1f91ce244ebc46e56f66765d94b52ccd0c9c57a81f8d8"},"schema_version":"1.0"},"canonical_sha256":"026fd06ed6ff131ab862703865c27c600da3e288de07b0a52ee4b32d2590e228","source":{"kind":"arxiv","id":"hep-lat/9506020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9506020","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9506020v1","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9506020","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"pith_short_12","alias_value":"AJX5A3WW74JR","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"pith_short_16","alias_value":"AJX5A3WW74JRVODC","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"pith_short_8","alias_value":"AJX5A3WW","created_at":"2026-07-04T15:58:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:AJX5A3WW74JRVODCOA4GLQT4MA","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9506020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1995-06-13T07:43:48Z","cross_cats_sorted":[],"title_canon_sha256":"f916dc8b5b8b43495ba88155619812dd61e4636defea0ad499c7e1affcfae91e","abstract_canon_sha256":"b73b16615dc14b1310d1f91ce244ebc46e56f66765d94b52ccd0c9c57a81f8d8"},"schema_version":"1.0"},"canonical_sha256":"026fd06ed6ff131ab862703865c27c600da3e288de07b0a52ee4b32d2590e228","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:58:54.048540Z","signature_b64":"ENzLLOVQ2JikKw3Bgsw/PxU/9SgTRXE53hdPqOrozBxEz8eoI3nToHxsMKTAi0KzEywJLoYIhExhVUimQx5ABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"026fd06ed6ff131ab862703865c27c600da3e288de07b0a52ee4b32d2590e228","last_reissued_at":"2026-07-04T15:58:54.048124Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:58:54.048124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9506020","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":"2026-07-04T15:58:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nK2jSvV7gzFG1XlHknR+wcXj9eLi1eJwoHAhciZdwUq5q/WoaI76NdIATzgKuQTTJJN4iaPHCOxjKBVc8nyxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:20:39.203528Z"},"content_sha256":"60d751da792ae6d1b4008c8e62e25e56959c909307de8a8ae93d3b29b17ead43","schema_version":"1.0","event_id":"sha256:60d751da792ae6d1b4008c8e62e25e56959c909307de8a8ae93d3b29b17ead43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:AJX5A3WW74JRVODCOA4GLQT4MA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kramers equation algorithm for simulations of QCD with two flavors of Wilson fermions and gauge group SU(2)","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Chuan Liu, Karl Jansen","submitted_at":"1995-06-13T07:43:48Z","abstract_excerpt":"We compare the Hybrid Monte Carlo (HMC) and the Kramers equation algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. The results for the performance of both algorithms are obtained on $6^312$, $12^4$ and $16^4$ lattices at a pion to $\\rho$ meson mass ratio of $m_\\pi/m_\\rho \\approx 0.9$. We find that the Kramers equation algorithm gives an equally good performance as the HMC algorithm. We demonstrate that the classical equations of motion used in these algorithms lack reversibility in practical simulations and behave like those of a chaotic d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9506020","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/hep-lat/9506020/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":"2026-07-04T15:58:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UWd6a7jzEXP6OTHq9k5paqOcZ4jPEDCNrXL/4ahwmcaLtuG5f4cAnoLYItjk1xglOZdlw+wZabGSew9y04Z0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:20:39.204580Z"},"content_sha256":"95d9a283b7a0028269ed32876b6fbcab6c0a483ae047c698b31c1976b1eb4f7a","schema_version":"1.0","event_id":"sha256:95d9a283b7a0028269ed32876b6fbcab6c0a483ae047c698b31c1976b1eb4f7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJX5A3WW74JRVODCOA4GLQT4MA/bundle.json","state_url":"https://pith.science/pith/AJX5A3WW74JRVODCOA4GLQT4MA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJX5A3WW74JRVODCOA4GLQT4MA/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":"2026-08-10T06:20:39Z","links":{"resolver":"https://pith.science/pith/AJX5A3WW74JRVODCOA4GLQT4MA","bundle":"https://pith.science/pith/AJX5A3WW74JRVODCOA4GLQT4MA/bundle.json","state":"https://pith.science/pith/AJX5A3WW74JRVODCOA4GLQT4MA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJX5A3WW74JRVODCOA4GLQT4MA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:AJX5A3WW74JRVODCOA4GLQT4MA","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":"b73b16615dc14b1310d1f91ce244ebc46e56f66765d94b52ccd0c9c57a81f8d8","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1995-06-13T07:43:48Z","title_canon_sha256":"f916dc8b5b8b43495ba88155619812dd61e4636defea0ad499c7e1affcfae91e"},"schema_version":"1.0","source":{"id":"hep-lat/9506020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9506020","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9506020v1","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9506020","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"pith_short_12","alias_value":"AJX5A3WW74JR","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"pith_short_16","alias_value":"AJX5A3WW74JRVODC","created_at":"2026-07-04T15:58:54Z"},{"alias_kind":"pith_short_8","alias_value":"AJX5A3WW","created_at":"2026-07-04T15:58:54Z"}],"graph_snapshots":[{"event_id":"sha256:95d9a283b7a0028269ed32876b6fbcab6c0a483ae047c698b31c1976b1eb4f7a","target":"graph","created_at":"2026-07-04T15:58:54Z","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/hep-lat/9506020/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compare the Hybrid Monte Carlo (HMC) and the Kramers equation algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. The results for the performance of both algorithms are obtained on $6^312$, $12^4$ and $16^4$ lattices at a pion to $\\rho$ meson mass ratio of $m_\\pi/m_\\rho \\approx 0.9$. We find that the Kramers equation algorithm gives an equally good performance as the HMC algorithm. We demonstrate that the classical equations of motion used in these algorithms lack reversibility in practical simulations and behave like those of a chaotic d","authors_text":"Chuan Liu, Karl Jansen","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1995-06-13T07:43:48Z","title":"Kramers equation algorithm for simulations of QCD with two flavors of Wilson fermions and gauge group SU(2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9506020","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":"sha256:60d751da792ae6d1b4008c8e62e25e56959c909307de8a8ae93d3b29b17ead43","target":"record","created_at":"2026-07-04T15:58:54Z","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":"b73b16615dc14b1310d1f91ce244ebc46e56f66765d94b52ccd0c9c57a81f8d8","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1995-06-13T07:43:48Z","title_canon_sha256":"f916dc8b5b8b43495ba88155619812dd61e4636defea0ad499c7e1affcfae91e"},"schema_version":"1.0","source":{"id":"hep-lat/9506020","kind":"arxiv","version":1}},"canonical_sha256":"026fd06ed6ff131ab862703865c27c600da3e288de07b0a52ee4b32d2590e228","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"026fd06ed6ff131ab862703865c27c600da3e288de07b0a52ee4b32d2590e228","first_computed_at":"2026-07-04T15:58:54.048124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:58:54.048124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ENzLLOVQ2JikKw3Bgsw/PxU/9SgTRXE53hdPqOrozBxEz8eoI3nToHxsMKTAi0KzEywJLoYIhExhVUimQx5ABw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:58:54.048540Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9506020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60d751da792ae6d1b4008c8e62e25e56959c909307de8a8ae93d3b29b17ead43","sha256:95d9a283b7a0028269ed32876b6fbcab6c0a483ae047c698b31c1976b1eb4f7a"],"state_sha256":"661720fc30730bd1cff14e3a1cb3606b92fccb0d727fd15d87e81442c41b1373"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/sfhIP4/81yvMJsC4EMdw29CItqJKlpw6UNBIrlZNI84jaSWu5PiYKXMgNA0wHHmVgCe/jYSWim3IZw5DVICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:20:39.212502Z","bundle_sha256":"e285e5ad0fbe2f8be44fe507e4c754a19653d97b876bf6e4c3930ca405863da4"}}