{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7YS5TN52G2EJQLV44UP45HZIYJ","short_pith_number":"pith:7YS5TN52","schema_version":"1.0","canonical_sha256":"fe25d9b7ba3688982ebce51fce9f28c263512a2cdc28678ab8d08a19b4405be8","source":{"kind":"arxiv","id":"1401.6297","version":3},"attestation_state":"computed","paper":{"title":"Finite-Time-Finite-Size Scaling of the Kuramoto Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Beom Jun Kim, Mi Jin Lee, Su Do Yi","submitted_at":"2014-01-24T09:36:45Z","abstract_excerpt":"Phase transition in its strict sense can only be observed in an infinite system, for which equilibration takes an infinitely long time at criticality. In numerical simulations, we are often limited both by the finiteness of the system size and by the finiteness of the observation time scale. We propose that one can overcome this barrier by measuring the nonequilibrium temporal relaxation for finite systems and by applying the finite-time-finite-size scaling (FTFSS) which systematically uses two scaling variables, one temporal and the other spatial. The FTFSS method yields a smooth scaling surf"},"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":"1401.6297","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-24T09:36:45Z","cross_cats_sorted":[],"title_canon_sha256":"3521a846493abab1bb434f984d8aeb4c14f4cd3e096f6e8ae9acc4ec19e832e3","abstract_canon_sha256":"12e47e20f59caea92706a99d0ba267c4d8f9fb4842cf2423368ecfafe5ab0273"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:11.371152Z","signature_b64":"tSEogrXfjycbfHOaCjPYicVqiJJVBw88BWVqtbMCstkhkbz+M3TqlRnT8w5JIDaJHnC5OfaWmGruTaoFlFstBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe25d9b7ba3688982ebce51fce9f28c263512a2cdc28678ab8d08a19b4405be8","last_reissued_at":"2026-05-18T01:36:11.370591Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:11.370591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite-Time-Finite-Size Scaling of the Kuramoto Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Beom Jun Kim, Mi Jin Lee, Su Do Yi","submitted_at":"2014-01-24T09:36:45Z","abstract_excerpt":"Phase transition in its strict sense can only be observed in an infinite system, for which equilibration takes an infinitely long time at criticality. In numerical simulations, we are often limited both by the finiteness of the system size and by the finiteness of the observation time scale. We propose that one can overcome this barrier by measuring the nonequilibrium temporal relaxation for finite systems and by applying the finite-time-finite-size scaling (FTFSS) which systematically uses two scaling variables, one temporal and the other spatial. The FTFSS method yields a smooth scaling surf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6297","kind":"arxiv","version":3},"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":"1401.6297","created_at":"2026-05-18T01:36:11.370679+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.6297v3","created_at":"2026-05-18T01:36:11.370679+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6297","created_at":"2026-05-18T01:36:11.370679+00:00"},{"alias_kind":"pith_short_12","alias_value":"7YS5TN52G2EJ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7YS5TN52G2EJQLV4","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7YS5TN52","created_at":"2026-05-18T12:28:19.803747+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/7YS5TN52G2EJQLV44UP45HZIYJ","json":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ.json","graph_json":"https://pith.science/api/pith-number/7YS5TN52G2EJQLV44UP45HZIYJ/graph.json","events_json":"https://pith.science/api/pith-number/7YS5TN52G2EJQLV44UP45HZIYJ/events.json","paper":"https://pith.science/paper/7YS5TN52"},"agent_actions":{"view_html":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ","download_json":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ.json","view_paper":"https://pith.science/paper/7YS5TN52","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.6297&json=true","fetch_graph":"https://pith.science/api/pith-number/7YS5TN52G2EJQLV44UP45HZIYJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7YS5TN52G2EJQLV44UP45HZIYJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ/action/storage_attestation","attest_author":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ/action/author_attestation","sign_citation":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ/action/citation_signature","submit_replication":"https://pith.science/pith/7YS5TN52G2EJQLV44UP45HZIYJ/action/replication_record"}},"created_at":"2026-05-18T01:36:11.370679+00:00","updated_at":"2026-05-18T01:36:11.370679+00:00"}