{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:PI2NL7MBLU6TXZLBSSCRORKJUG","short_pith_number":"pith:PI2NL7MB","schema_version":"1.0","canonical_sha256":"7a34d5fd815d3d3be5619485174549a1b585cef850dce767b427565796410c61","source":{"kind":"arxiv","id":"1011.2981","version":2},"attestation_state":"computed","paper":{"title":"Out of equilibrium statistical ensemble inequivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Duccio Fanelli, Giovanni De Ninno","submitted_at":"2010-11-12T16:47:32Z","abstract_excerpt":"We consider a paradigmatic model describing the one-dimensional motion of $N$ rotators coupled through a mean-field interaction, and subject to the perturbation of an external magnetic field. The latter is shown to significantly alter the system behaviour, driving the emergence of ensemble inequivalence in the out-of-equilibrium phase, as signalled by a negative (microcanonical) magnetic susceptibility. The thermodynamic of the system is analytically discussed, building on a maximum entropy scheme justified from first principles. Simulations confirm the adequacy of the theoretical picture. Ens"},"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":"1011.2981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-12T16:47:32Z","cross_cats_sorted":[],"title_canon_sha256":"6f6a8adf49fa07651bbf090efbb12dd6245811450d299a6c62c1462a87367c15","abstract_canon_sha256":"6c9fc3095ce2330739138a310b9a7aa7292bd86c37197395eca13c99c864e133"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:45.684362Z","signature_b64":"tCc77zgqdjUtOXkLmvQAP7By9VAlKq6AuuhI8LWTxHtidltZZdIyKOF1S7IFq32lkcJCgPy7OOxQsglf27g+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a34d5fd815d3d3be5619485174549a1b585cef850dce767b427565796410c61","last_reissued_at":"2026-05-18T04:34:45.683950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:45.683950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Out of equilibrium statistical ensemble inequivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Duccio Fanelli, Giovanni De Ninno","submitted_at":"2010-11-12T16:47:32Z","abstract_excerpt":"We consider a paradigmatic model describing the one-dimensional motion of $N$ rotators coupled through a mean-field interaction, and subject to the perturbation of an external magnetic field. The latter is shown to significantly alter the system behaviour, driving the emergence of ensemble inequivalence in the out-of-equilibrium phase, as signalled by a negative (microcanonical) magnetic susceptibility. The thermodynamic of the system is analytically discussed, building on a maximum entropy scheme justified from first principles. Simulations confirm the adequacy of the theoretical picture. Ens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2981","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":"1011.2981","created_at":"2026-05-18T04:34:45.684003+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.2981v2","created_at":"2026-05-18T04:34:45.684003+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2981","created_at":"2026-05-18T04:34:45.684003+00:00"},{"alias_kind":"pith_short_12","alias_value":"PI2NL7MBLU6T","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"PI2NL7MBLU6TXZLB","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"PI2NL7MB","created_at":"2026-05-18T12:26:12.377268+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/PI2NL7MBLU6TXZLBSSCRORKJUG","json":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG.json","graph_json":"https://pith.science/api/pith-number/PI2NL7MBLU6TXZLBSSCRORKJUG/graph.json","events_json":"https://pith.science/api/pith-number/PI2NL7MBLU6TXZLBSSCRORKJUG/events.json","paper":"https://pith.science/paper/PI2NL7MB"},"agent_actions":{"view_html":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG","download_json":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG.json","view_paper":"https://pith.science/paper/PI2NL7MB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.2981&json=true","fetch_graph":"https://pith.science/api/pith-number/PI2NL7MBLU6TXZLBSSCRORKJUG/graph.json","fetch_events":"https://pith.science/api/pith-number/PI2NL7MBLU6TXZLBSSCRORKJUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG/action/storage_attestation","attest_author":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG/action/author_attestation","sign_citation":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG/action/citation_signature","submit_replication":"https://pith.science/pith/PI2NL7MBLU6TXZLBSSCRORKJUG/action/replication_record"}},"created_at":"2026-05-18T04:34:45.684003+00:00","updated_at":"2026-05-18T04:34:45.684003+00:00"}