{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:54PEWF5ZEGG4GDOWSII7ZTFUDV","short_pith_number":"pith:54PEWF5Z","schema_version":"1.0","canonical_sha256":"ef1e4b17b9218dc30dd69211fcccb41d5f7b4f530151edb23b7ddcb1b42fd69e","source":{"kind":"arxiv","id":"1412.7564","version":2},"attestation_state":"computed","paper":{"title":"Dynamical symmetries of Markov processes with multiplicative white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Camille Aron, Daniel G. Barci, Gustavo S. Lozano, Leticia F. Cugliandolo, Zochil Gonzalez Arenas","submitted_at":"2014-12-23T22:20:32Z","abstract_excerpt":"We analyse various properties of stochastic Markov processes with multiplicative white noise. We take a single-variable problem as a simple example, and we later extend the analysis to the Landau-Lifshitz-Gilbert equation for the stochastic dynamics of a magnetic moment. In particular, we focus on the non-equilibrium transfer of angular momentum to the magnetization from a spin-polarised current of electrons, a technique which is widely used in the context of spintronics to manipulate magnetic moments. We unveil two hidden dynamical symmetries of the generating functionals of these Markovian m"},"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":"1412.7564","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-23T22:20:32Z","cross_cats_sorted":[],"title_canon_sha256":"dfbf83b8ae5f5495c27478874bcedeabfa2c4d47e649333ca8de80adf8b1e207","abstract_canon_sha256":"b1dcf0edd7a261031051ecc42d81b8ccee4de30ae3b149dfb74821bef12803cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:38.718401Z","signature_b64":"zmGp2aekJPjNYHWFOWNS/szsxMXuCpAQNxOPHedYBMph94F5h3j2kUKb9NbHVtsIN5gTnW72gXNsexqRI+JDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef1e4b17b9218dc30dd69211fcccb41d5f7b4f530151edb23b7ddcb1b42fd69e","last_reissued_at":"2026-05-18T01:10:38.717940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:38.717940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical symmetries of Markov processes with multiplicative white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Camille Aron, Daniel G. Barci, Gustavo S. Lozano, Leticia F. Cugliandolo, Zochil Gonzalez Arenas","submitted_at":"2014-12-23T22:20:32Z","abstract_excerpt":"We analyse various properties of stochastic Markov processes with multiplicative white noise. We take a single-variable problem as a simple example, and we later extend the analysis to the Landau-Lifshitz-Gilbert equation for the stochastic dynamics of a magnetic moment. In particular, we focus on the non-equilibrium transfer of angular momentum to the magnetization from a spin-polarised current of electrons, a technique which is widely used in the context of spintronics to manipulate magnetic moments. We unveil two hidden dynamical symmetries of the generating functionals of these Markovian m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7564","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":"1412.7564","created_at":"2026-05-18T01:10:38.718016+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.7564v2","created_at":"2026-05-18T01:10:38.718016+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7564","created_at":"2026-05-18T01:10:38.718016+00:00"},{"alias_kind":"pith_short_12","alias_value":"54PEWF5ZEGG4","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"54PEWF5ZEGG4GDOW","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"54PEWF5Z","created_at":"2026-05-18T12:28:14.216126+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/54PEWF5ZEGG4GDOWSII7ZTFUDV","json":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV.json","graph_json":"https://pith.science/api/pith-number/54PEWF5ZEGG4GDOWSII7ZTFUDV/graph.json","events_json":"https://pith.science/api/pith-number/54PEWF5ZEGG4GDOWSII7ZTFUDV/events.json","paper":"https://pith.science/paper/54PEWF5Z"},"agent_actions":{"view_html":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV","download_json":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV.json","view_paper":"https://pith.science/paper/54PEWF5Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.7564&json=true","fetch_graph":"https://pith.science/api/pith-number/54PEWF5ZEGG4GDOWSII7ZTFUDV/graph.json","fetch_events":"https://pith.science/api/pith-number/54PEWF5ZEGG4GDOWSII7ZTFUDV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV/action/storage_attestation","attest_author":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV/action/author_attestation","sign_citation":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV/action/citation_signature","submit_replication":"https://pith.science/pith/54PEWF5ZEGG4GDOWSII7ZTFUDV/action/replication_record"}},"created_at":"2026-05-18T01:10:38.718016+00:00","updated_at":"2026-05-18T01:10:38.718016+00:00"}