{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3VNORWMNQ7DAIPALMYKTKT56U5","short_pith_number":"pith:3VNORWMN","schema_version":"1.0","canonical_sha256":"dd5ae8d98d87c6043c0b6615354fbea75116e8d0f0e7c4e66ed806c5e98f7093","source":{"kind":"arxiv","id":"1606.00316","version":1},"attestation_state":"computed","paper":{"title":"Large Deviations of the Finite-Time Magnetization of the Curie-Weiss Random Field Ising Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Pierre Paga, Reimer K\\\"uhn","submitted_at":"2016-06-01T14:59:27Z","abstract_excerpt":"We study the large deviations of the magnetization at some finite time in the Curie-Weiss Random Field Ising Model with parallel updating. While relaxation dynamics in an infinite time horizon gives rise to unique dynamical trajectories (specified by initial conditions and governed by first-order dynamics of the form $m_{t+1}=f(m_t)$), we observe that the introduction of a finite time horizon and the specification of terminal conditions can generate a host of metastable solutions obeying \\textit{second-order} dynamics. We show that these solutions are governed by a Newtonian-like dynamics in d"},"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":"1606.00316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-06-01T14:59:27Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"821a3efa321a51d1552b0db80679ebcb4c387c7af06d76793f16400d71e52f92","abstract_canon_sha256":"69925cb83c3ab3fb082b4946a8ed692bfd30a4386318967391b6396a1152e48e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:36.751180Z","signature_b64":"HzaImhwMlLweT9OoyayOpnRjFSgQZiu0i+QU/tiH1RkSxeN9Y6kjq6WBk7gb7yErKk+xP3jhyfGwPhVvMPy8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd5ae8d98d87c6043c0b6615354fbea75116e8d0f0e7c4e66ed806c5e98f7093","last_reissued_at":"2026-05-18T00:37:36.750519Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:36.750519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large Deviations of the Finite-Time Magnetization of the Curie-Weiss Random Field Ising Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Pierre Paga, Reimer K\\\"uhn","submitted_at":"2016-06-01T14:59:27Z","abstract_excerpt":"We study the large deviations of the magnetization at some finite time in the Curie-Weiss Random Field Ising Model with parallel updating. While relaxation dynamics in an infinite time horizon gives rise to unique dynamical trajectories (specified by initial conditions and governed by first-order dynamics of the form $m_{t+1}=f(m_t)$), we observe that the introduction of a finite time horizon and the specification of terminal conditions can generate a host of metastable solutions obeying \\textit{second-order} dynamics. We show that these solutions are governed by a Newtonian-like dynamics in d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00316","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":"1606.00316","created_at":"2026-05-18T00:37:36.750621+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.00316v1","created_at":"2026-05-18T00:37:36.750621+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00316","created_at":"2026-05-18T00:37:36.750621+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VNORWMNQ7DA","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VNORWMNQ7DAIPAL","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VNORWMN","created_at":"2026-05-18T12:29:58.707656+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/3VNORWMNQ7DAIPALMYKTKT56U5","json":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5.json","graph_json":"https://pith.science/api/pith-number/3VNORWMNQ7DAIPALMYKTKT56U5/graph.json","events_json":"https://pith.science/api/pith-number/3VNORWMNQ7DAIPALMYKTKT56U5/events.json","paper":"https://pith.science/paper/3VNORWMN"},"agent_actions":{"view_html":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5","download_json":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5.json","view_paper":"https://pith.science/paper/3VNORWMN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.00316&json=true","fetch_graph":"https://pith.science/api/pith-number/3VNORWMNQ7DAIPALMYKTKT56U5/graph.json","fetch_events":"https://pith.science/api/pith-number/3VNORWMNQ7DAIPALMYKTKT56U5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5/action/storage_attestation","attest_author":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5/action/author_attestation","sign_citation":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5/action/citation_signature","submit_replication":"https://pith.science/pith/3VNORWMNQ7DAIPALMYKTKT56U5/action/replication_record"}},"created_at":"2026-05-18T00:37:36.750621+00:00","updated_at":"2026-05-18T00:37:36.750621+00:00"}