{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SRLI32QKGTC33R7E72RPYUXMQT","short_pith_number":"pith:SRLI32QK","schema_version":"1.0","canonical_sha256":"94568dea0a34c5bdc7e4fea2fc52ec84fb9832f8bb7179b894555573494320b3","source":{"kind":"arxiv","id":"1606.06308","version":1},"attestation_state":"computed","paper":{"title":"Noise and dissipation in rigid body motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"math.DS","authors_text":"Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm","submitted_at":"2016-06-20T20:05:13Z","abstract_excerpt":"Using the rigid body as an example, we illustrate some features of stochastic geometric mechanics. These features include: i) a geometric variational motivation for the noise structure involving Lie-Poisson brackets and momentum maps, ii) stochastic coadjoint motion with double bracket dissipation, iii) the Lie-Poisson Fokker-Planck description and its stationary solutions, iv) random dynamical systems, random attractors and SRB measures connected to statistical physics."},"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":"1606.06308","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-20T20:05:13Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"1e6a14977b8ef8d5b3f84e81debe487129a9d77acf80c2a449f0fb431b20b779","abstract_canon_sha256":"d78a6f6c375d2d75319ee33eeead1bd47bddd5d169134b3a158ecb7effcd17d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:11.257532Z","signature_b64":"i0hbxW/ZIGaelfCaDo20es6oudZ1KjsAMYi0jRy9/lDheE0BMsTuVAkAyAh1Y26vkR8oxDMG+iPt7K9c9XHIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94568dea0a34c5bdc7e4fea2fc52ec84fb9832f8bb7179b894555573494320b3","last_reissued_at":"2026-05-18T01:12:11.257122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:11.257122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noise and dissipation in rigid body motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"math.DS","authors_text":"Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm","submitted_at":"2016-06-20T20:05:13Z","abstract_excerpt":"Using the rigid body as an example, we illustrate some features of stochastic geometric mechanics. These features include: i) a geometric variational motivation for the noise structure involving Lie-Poisson brackets and momentum maps, ii) stochastic coadjoint motion with double bracket dissipation, iii) the Lie-Poisson Fokker-Planck description and its stationary solutions, iv) random dynamical systems, random attractors and SRB measures connected to statistical physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06308","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":""},"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":"1606.06308","created_at":"2026-05-18T01:12:11.257185+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.06308v1","created_at":"2026-05-18T01:12:11.257185+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06308","created_at":"2026-05-18T01:12:11.257185+00:00"},{"alias_kind":"pith_short_12","alias_value":"SRLI32QKGTC3","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SRLI32QKGTC33R7E","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SRLI32QK","created_at":"2026-05-18T12:30:44.179134+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/SRLI32QKGTC33R7E72RPYUXMQT","json":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT.json","graph_json":"https://pith.science/api/pith-number/SRLI32QKGTC33R7E72RPYUXMQT/graph.json","events_json":"https://pith.science/api/pith-number/SRLI32QKGTC33R7E72RPYUXMQT/events.json","paper":"https://pith.science/paper/SRLI32QK"},"agent_actions":{"view_html":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT","download_json":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT.json","view_paper":"https://pith.science/paper/SRLI32QK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.06308&json=true","fetch_graph":"https://pith.science/api/pith-number/SRLI32QKGTC33R7E72RPYUXMQT/graph.json","fetch_events":"https://pith.science/api/pith-number/SRLI32QKGTC33R7E72RPYUXMQT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT/action/storage_attestation","attest_author":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT/action/author_attestation","sign_citation":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT/action/citation_signature","submit_replication":"https://pith.science/pith/SRLI32QKGTC33R7E72RPYUXMQT/action/replication_record"}},"created_at":"2026-05-18T01:12:11.257185+00:00","updated_at":"2026-05-18T01:12:11.257185+00:00"}