{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3D2IMKOPUNTWGBX2I3OP2PLPEP","short_pith_number":"pith:3D2IMKOP","canonical_record":{"source":{"id":"1908.04379","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-08-12T20:58:59Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3bcab54e7a73e291bc009ffbab543bb87bfd83440d4e222e670119abcbf83397","abstract_canon_sha256":"f838143f0109fd5fd500ff3bc717fdb782bf82dfee7bceac8ac1bef31cc00141"},"schema_version":"1.0"},"canonical_sha256":"d8f48629cfa3676306fa46dcfd3d6f23c33e93a0d3e2b0dd2b013b9d39e3d8e1","source":{"kind":"arxiv","id":"1908.04379","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04379","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04379v5","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04379","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"pith_short_12","alias_value":"3D2IMKOPUNTW","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"pith_short_16","alias_value":"3D2IMKOPUNTWGBX2","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"pith_short_8","alias_value":"3D2IMKOP","created_at":"2026-07-05T00:05:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3D2IMKOPUNTWGBX2I3OP2PLPEP","target":"record","payload":{"canonical_record":{"source":{"id":"1908.04379","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-08-12T20:58:59Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3bcab54e7a73e291bc009ffbab543bb87bfd83440d4e222e670119abcbf83397","abstract_canon_sha256":"f838143f0109fd5fd500ff3bc717fdb782bf82dfee7bceac8ac1bef31cc00141"},"schema_version":"1.0"},"canonical_sha256":"d8f48629cfa3676306fa46dcfd3d6f23c33e93a0d3e2b0dd2b013b9d39e3d8e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:54.633587Z","signature_b64":"ZuLypkksuGcoOSl7w04/rQUFF1Ri7mRB/supXTzY6+HVtgC+Z3Mm8EKotLbWXLSl5m8Kp+AXMXAjiwJDtmB2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8f48629cfa3676306fa46dcfd3d6f23c33e93a0d3e2b0dd2b013b9d39e3d8e1","last_reissued_at":"2026-07-05T00:05:54.633215Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:54.633215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.04379","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:05:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"81mVYFsJzfxkz9/sjMLrZlov9KkKprOSJ8+RDtJguXp8a0UvZiwwVenUlTgU2KLH/lSVkfVSH70nR6p9rhwFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:57:36.421207Z"},"content_sha256":"b6af6e5a1fba644f2d0784bfebfd7763f7888922d0c612509bce0106af0b187d","schema_version":"1.0","event_id":"sha256:b6af6e5a1fba644f2d0784bfebfd7763f7888922d0c612509bce0106af0b187d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3D2IMKOPUNTWGBX2I3OP2PLPEP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspects of Dynamical Simulations, Emphasizing Nos\\'e and Nos\\'e-Hoover Dynamics and the Compressible Baker Map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Carol G. Hoover, William G. Hoover","submitted_at":"2019-08-12T20:58:59Z","abstract_excerpt":"Aspects of the Nos\\'e and Nos\\'e-Hoover dynamics developed in 1983-1984 along with Dettmann's closely related dynamics of 1996, are considered. We emphasize paradoxes associated with Liouville's Theorem. Our account is pedagogical, focused on the harmonic oscillator for simplicity, though exactly the same ideas can be, and have been, applied to manybody systems. Nos\\'e, Nos\\'e-Hoover, and Dettmann flows were all developed in order to access Gibbs' canonical ensemble directly from molecular dynamics. Unlike Monte Carlo algorithms dynamical flow models are often not ergodic and so can fail to re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04379","kind":"arxiv","version":5},"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/1908.04379/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":"2026-07-05T00:05:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YaHB1okn4kerej1eC+hNj3LKKgNPvzRoMx7wEvU+tg7E+RbPKzkVDff0iLH4HrAHIw4GGT9XeuSWQ5K1NFQfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:57:36.421742Z"},"content_sha256":"82d6596cae9417619bf850d094cb50650092cec9ce7788555284f2db09b20af8","schema_version":"1.0","event_id":"sha256:82d6596cae9417619bf850d094cb50650092cec9ce7788555284f2db09b20af8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP/bundle.json","state_url":"https://pith.science/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP/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":"2026-08-16T10:57:36Z","links":{"resolver":"https://pith.science/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP","bundle":"https://pith.science/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP/bundle.json","state":"https://pith.science/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3D2IMKOPUNTWGBX2I3OP2PLPEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3D2IMKOPUNTWGBX2I3OP2PLPEP","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":"f838143f0109fd5fd500ff3bc717fdb782bf82dfee7bceac8ac1bef31cc00141","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-08-12T20:58:59Z","title_canon_sha256":"3bcab54e7a73e291bc009ffbab543bb87bfd83440d4e222e670119abcbf83397"},"schema_version":"1.0","source":{"id":"1908.04379","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04379","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04379v5","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04379","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"pith_short_12","alias_value":"3D2IMKOPUNTW","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"pith_short_16","alias_value":"3D2IMKOPUNTWGBX2","created_at":"2026-07-05T00:05:54Z"},{"alias_kind":"pith_short_8","alias_value":"3D2IMKOP","created_at":"2026-07-05T00:05:54Z"}],"graph_snapshots":[{"event_id":"sha256:82d6596cae9417619bf850d094cb50650092cec9ce7788555284f2db09b20af8","target":"graph","created_at":"2026-07-05T00:05:54Z","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/1908.04379/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Aspects of the Nos\\'e and Nos\\'e-Hoover dynamics developed in 1983-1984 along with Dettmann's closely related dynamics of 1996, are considered. We emphasize paradoxes associated with Liouville's Theorem. Our account is pedagogical, focused on the harmonic oscillator for simplicity, though exactly the same ideas can be, and have been, applied to manybody systems. Nos\\'e, Nos\\'e-Hoover, and Dettmann flows were all developed in order to access Gibbs' canonical ensemble directly from molecular dynamics. Unlike Monte Carlo algorithms dynamical flow models are often not ergodic and so can fail to re","authors_text":"Carol G. Hoover, William G. Hoover","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-08-12T20:58:59Z","title":"Aspects of Dynamical Simulations, Emphasizing Nos\\'e and Nos\\'e-Hoover Dynamics and the Compressible Baker Map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04379","kind":"arxiv","version":5},"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:b6af6e5a1fba644f2d0784bfebfd7763f7888922d0c612509bce0106af0b187d","target":"record","created_at":"2026-07-05T00:05:54Z","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":"f838143f0109fd5fd500ff3bc717fdb782bf82dfee7bceac8ac1bef31cc00141","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-08-12T20:58:59Z","title_canon_sha256":"3bcab54e7a73e291bc009ffbab543bb87bfd83440d4e222e670119abcbf83397"},"schema_version":"1.0","source":{"id":"1908.04379","kind":"arxiv","version":5}},"canonical_sha256":"d8f48629cfa3676306fa46dcfd3d6f23c33e93a0d3e2b0dd2b013b9d39e3d8e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8f48629cfa3676306fa46dcfd3d6f23c33e93a0d3e2b0dd2b013b9d39e3d8e1","first_computed_at":"2026-07-05T00:05:54.633215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:05:54.633215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZuLypkksuGcoOSl7w04/rQUFF1Ri7mRB/supXTzY6+HVtgC+Z3Mm8EKotLbWXLSl5m8Kp+AXMXAjiwJDtmB2BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:05:54.633587Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04379","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6af6e5a1fba644f2d0784bfebfd7763f7888922d0c612509bce0106af0b187d","sha256:82d6596cae9417619bf850d094cb50650092cec9ce7788555284f2db09b20af8"],"state_sha256":"52213e6bd2952ad10150265fb1bdcd94f809bd1c75638a6326f483e261fd9860"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t1uk1njTnOI2mvLgjyO4puXHI+CvwXEN2ujEt+hBribWPXikjQlILwOF3ii/lqdLGpCLzMat3rExPlzvs1dpAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T10:57:36.427049Z","bundle_sha256":"00851ac99aac4e125765d51945158ebe884ed1d76676a791c777b66e5c510e3a"}}