{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DHJSPCW56ZLUZZB7O6HOYUFG4K","short_pith_number":"pith:DHJSPCW5","schema_version":"1.0","canonical_sha256":"19d3278addf6574ce43f778eec50a6e2bfb34112a08fd8fbd5dabcb71ce5a469","source":{"kind":"arxiv","id":"1806.02386","version":3},"attestation_state":"computed","paper":{"title":"Classification of complex systems by their sample-space scaling exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jan Korbel, Rudolf Hanel, Stefan Thurner","submitted_at":"2018-06-06T18:58:43Z","abstract_excerpt":"The nature of statistics, statistical mechanics and consequently the thermodynamics of stochastic systems is largely determined by how the number of states $W(N)$ depends on the size $N$ of the system. Here we propose a scaling expansion of the phasespace volume $W(N)$ of a stochastic system. The corresponding expansion coefficients (exponents) define the universality class the system belongs to. Systems within the same universality class share the same statistics and thermodynamics. For sub-exponentially growing systems such expansions have been shown to exist. By using the scaling expansion "},"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":"1806.02386","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-06T18:58:43Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"6f5d78afd6c7142139ddb89450b994cbf1b8f6786aa59243de6799221e051524","abstract_canon_sha256":"daccf9f1fecc60c3254ac9372caccd1a440d2089d625b29af830ad6e011cd134"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:55.979790Z","signature_b64":"koAnee67O6Z3vhDBBoST0Kh4mDqhQcNOJqNV+aJkd7ErxQmdpr5+4m5zEysUMh31nRRiH1cElo9Jlmr/TRGuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19d3278addf6574ce43f778eec50a6e2bfb34112a08fd8fbd5dabcb71ce5a469","last_reissued_at":"2026-05-18T00:05:55.979184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:55.979184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of complex systems by their sample-space scaling exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jan Korbel, Rudolf Hanel, Stefan Thurner","submitted_at":"2018-06-06T18:58:43Z","abstract_excerpt":"The nature of statistics, statistical mechanics and consequently the thermodynamics of stochastic systems is largely determined by how the number of states $W(N)$ depends on the size $N$ of the system. Here we propose a scaling expansion of the phasespace volume $W(N)$ of a stochastic system. The corresponding expansion coefficients (exponents) define the universality class the system belongs to. Systems within the same universality class share the same statistics and thermodynamics. For sub-exponentially growing systems such expansions have been shown to exist. By using the scaling expansion "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02386","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":"1806.02386","created_at":"2026-05-18T00:05:55.979278+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.02386v3","created_at":"2026-05-18T00:05:55.979278+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02386","created_at":"2026-05-18T00:05:55.979278+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHJSPCW56ZLU","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHJSPCW56ZLUZZB7","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHJSPCW5","created_at":"2026-05-18T12:32:19.392346+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/DHJSPCW56ZLUZZB7O6HOYUFG4K","json":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K.json","graph_json":"https://pith.science/api/pith-number/DHJSPCW56ZLUZZB7O6HOYUFG4K/graph.json","events_json":"https://pith.science/api/pith-number/DHJSPCW56ZLUZZB7O6HOYUFG4K/events.json","paper":"https://pith.science/paper/DHJSPCW5"},"agent_actions":{"view_html":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K","download_json":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K.json","view_paper":"https://pith.science/paper/DHJSPCW5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.02386&json=true","fetch_graph":"https://pith.science/api/pith-number/DHJSPCW56ZLUZZB7O6HOYUFG4K/graph.json","fetch_events":"https://pith.science/api/pith-number/DHJSPCW56ZLUZZB7O6HOYUFG4K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K/action/storage_attestation","attest_author":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K/action/author_attestation","sign_citation":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K/action/citation_signature","submit_replication":"https://pith.science/pith/DHJSPCW56ZLUZZB7O6HOYUFG4K/action/replication_record"}},"created_at":"2026-05-18T00:05:55.979278+00:00","updated_at":"2026-05-18T00:05:55.979278+00:00"}