{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WFWLQJYS5MJGPGIZJKSMUG3ZTU","short_pith_number":"pith:WFWLQJYS","schema_version":"1.0","canonical_sha256":"b16cb82712eb126799194aa4ca1b799d35a705add338f08bcedf69792418363d","source":{"kind":"arxiv","id":"1507.01645","version":2},"attestation_state":"computed","paper":{"title":"Time-Reversible Ergodic Maps and the 2015 Ian Snook Prize","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Carol Griswold Hoover, William Graham Hoover","submitted_at":"2015-07-04T18:10:56Z","abstract_excerpt":"The time reversibility characteristic of Hamiltonian mechanics has long been extended to nonHamiltonian dynamical systems modeling nonequilibrium steady states with feedback-based thermostats and ergostats. Typical solutions are multifractal attractor-repellor phase-space pairs with reversed momenta and unchanged coordinates, $(q,p)\\longleftrightarrow (q,-p)$ . Weak control of the temperature, $\\propto p^2$ and its fluctuation, resulting in ergodicity, has recently been achieved in a three-dimensional time-reversible model of a heat-conducting harmonic oscillator. Two-dimensional cross section"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.01645","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-04T18:10:56Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"2683013dbf16a0562369ff12dd163ed40d46c7a7298dc99ed8a44586df0232fd","abstract_canon_sha256":"6562385d04301b1422fce565668412db17fad623fff78611136ad8383ca94adb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:26.483613Z","signature_b64":"Wy3k8iUWPpKaAS/qiFcdeejPrz9jS58dQA60gg02fxeY5NsR9S8CEeDXWaNQuzYnkM0HgWVEatIwV12ky5dZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b16cb82712eb126799194aa4ca1b799d35a705add338f08bcedf69792418363d","last_reissued_at":"2026-05-18T01:35:26.483120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:26.483120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time-Reversible Ergodic Maps and the 2015 Ian Snook Prize","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Carol Griswold Hoover, William Graham Hoover","submitted_at":"2015-07-04T18:10:56Z","abstract_excerpt":"The time reversibility characteristic of Hamiltonian mechanics has long been extended to nonHamiltonian dynamical systems modeling nonequilibrium steady states with feedback-based thermostats and ergostats. Typical solutions are multifractal attractor-repellor phase-space pairs with reversed momenta and unchanged coordinates, $(q,p)\\longleftrightarrow (q,-p)$ . Weak control of the temperature, $\\propto p^2$ and its fluctuation, resulting in ergodicity, has recently been achieved in a three-dimensional time-reversible model of a heat-conducting harmonic oscillator. Two-dimensional cross section"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01645","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.01645","created_at":"2026-05-18T01:35:26.483191+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.01645v2","created_at":"2026-05-18T01:35:26.483191+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01645","created_at":"2026-05-18T01:35:26.483191+00:00"},{"alias_kind":"pith_short_12","alias_value":"WFWLQJYS5MJG","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WFWLQJYS5MJGPGIZ","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WFWLQJYS","created_at":"2026-05-18T12:29:47.479230+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU","json":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU.json","graph_json":"https://pith.science/api/pith-number/WFWLQJYS5MJGPGIZJKSMUG3ZTU/graph.json","events_json":"https://pith.science/api/pith-number/WFWLQJYS5MJGPGIZJKSMUG3ZTU/events.json","paper":"https://pith.science/paper/WFWLQJYS"},"agent_actions":{"view_html":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU","download_json":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU.json","view_paper":"https://pith.science/paper/WFWLQJYS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.01645&json=true","fetch_graph":"https://pith.science/api/pith-number/WFWLQJYS5MJGPGIZJKSMUG3ZTU/graph.json","fetch_events":"https://pith.science/api/pith-number/WFWLQJYS5MJGPGIZJKSMUG3ZTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU/action/storage_attestation","attest_author":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU/action/author_attestation","sign_citation":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU/action/citation_signature","submit_replication":"https://pith.science/pith/WFWLQJYS5MJGPGIZJKSMUG3ZTU/action/replication_record"}},"created_at":"2026-05-18T01:35:26.483191+00:00","updated_at":"2026-05-18T01:35:26.483191+00:00"}