{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:4BSZGMP2WTO3IA3DZ7GFVCJWLA","short_pith_number":"pith:4BSZGMP2","schema_version":"1.0","canonical_sha256":"e0659331fab4ddb40363cfcc5a893658303db06100513c76f6c44af48ed04b0a","source":{"kind":"arxiv","id":"1611.06698","version":1},"attestation_state":"computed","paper":{"title":"Dynamical Stationarity as a Result of Sustained Random Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an","q-fin.MF"],"primary_cat":"cond-mat.stat-mech","authors_text":"Tam\\'as Bir\\'o, Zolt\\'an N\\'eda","submitted_at":"2016-11-21T09:45:14Z","abstract_excerpt":"In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a continuous master equation. The derivation of elementary rates from known stationary distributions is a generalization of the fluctuation--dissipation theorem. Entropic distance evolution is given for such systems. We reconstruct distributions obtained for growing networks, particle production, scientific citations and income distribution."},"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":"1611.06698","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-11-21T09:45:14Z","cross_cats_sorted":["physics.data-an","q-fin.MF"],"title_canon_sha256":"626cebbe317edcbe36ae5335b0ca83b5c9eca69488e88ce2f02f21f31cb477aa","abstract_canon_sha256":"e13a72eb79a263a51d3ad69c39bace593d850e98a7764aa8eae536dde5e0f8c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:16.221772Z","signature_b64":"saimXoRvWMOKfTKMkLFQI3p7F+e0Mlcy4wTPTijkJNdMpWdX3ZN/XIxL3/vq9OvO0Q8fNLeAuIqTf8CneSF8BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0659331fab4ddb40363cfcc5a893658303db06100513c76f6c44af48ed04b0a","last_reissued_at":"2026-05-18T00:48:16.221036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:16.221036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical Stationarity as a Result of Sustained Random Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an","q-fin.MF"],"primary_cat":"cond-mat.stat-mech","authors_text":"Tam\\'as Bir\\'o, Zolt\\'an N\\'eda","submitted_at":"2016-11-21T09:45:14Z","abstract_excerpt":"In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a continuous master equation. The derivation of elementary rates from known stationary distributions is a generalization of the fluctuation--dissipation theorem. Entropic distance evolution is given for such systems. We reconstruct distributions obtained for growing networks, particle production, scientific citations and income distribution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06698","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":"1611.06698","created_at":"2026-05-18T00:48:16.221158+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.06698v1","created_at":"2026-05-18T00:48:16.221158+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06698","created_at":"2026-05-18T00:48:16.221158+00:00"},{"alias_kind":"pith_short_12","alias_value":"4BSZGMP2WTO3","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"4BSZGMP2WTO3IA3D","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"4BSZGMP2","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/4BSZGMP2WTO3IA3DZ7GFVCJWLA","json":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA.json","graph_json":"https://pith.science/api/pith-number/4BSZGMP2WTO3IA3DZ7GFVCJWLA/graph.json","events_json":"https://pith.science/api/pith-number/4BSZGMP2WTO3IA3DZ7GFVCJWLA/events.json","paper":"https://pith.science/paper/4BSZGMP2"},"agent_actions":{"view_html":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA","download_json":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA.json","view_paper":"https://pith.science/paper/4BSZGMP2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.06698&json=true","fetch_graph":"https://pith.science/api/pith-number/4BSZGMP2WTO3IA3DZ7GFVCJWLA/graph.json","fetch_events":"https://pith.science/api/pith-number/4BSZGMP2WTO3IA3DZ7GFVCJWLA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA/action/storage_attestation","attest_author":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA/action/author_attestation","sign_citation":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA/action/citation_signature","submit_replication":"https://pith.science/pith/4BSZGMP2WTO3IA3DZ7GFVCJWLA/action/replication_record"}},"created_at":"2026-05-18T00:48:16.221158+00:00","updated_at":"2026-05-18T00:48:16.221158+00:00"}