{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IAQV2Y6O43UJ4MMGKDI6V5M6KY","short_pith_number":"pith:IAQV2Y6O","schema_version":"1.0","canonical_sha256":"40215d63cee6e89e318650d1eaf59e56388bb99a525e5f4e08031a22a65342eb","source":{"kind":"arxiv","id":"1008.2749","version":1},"attestation_state":"computed","paper":{"title":"Geometric Universality of Currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. Chertkov, N.A. Sinitsyn, V.Y. Chernyak","submitted_at":"2010-08-16T19:48:59Z","abstract_excerpt":"We discuss a non-equilibrium statistical system on a graph or network. Identical particles are injected, interact with each other, traverse, and leave the graph in a stochastic manner described in terms of Poisson rates, possibly dependent on time and instantaneous occupation numbers at the nodes of the graph. We show that under the assumption of constancy of the relative rates, the system demonstrates a profound statistical symmetry, resulting in geometric universality of the statistics of the particle currents. This phenomenon applies broadly to many man-made and natural open stochastic syst"},"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":"1008.2749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-08-16T19:48:59Z","cross_cats_sorted":[],"title_canon_sha256":"ccfa982bd1ac868ae267f24154b7335cf27a3c13392d5d1e027112ea045321f9","abstract_canon_sha256":"30b80cdd686f4d66c20b6d325b5e88097de1824d46f4d8a0f96c35cf125aa366"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:47.819427Z","signature_b64":"wzzRp/X39BflLzqYSrZy4T5Ml5qq1oYJ3NN4z04EJJksILTt05hRz010nJP9AKk/1RSHuTN3yTCPnqrrcSD8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40215d63cee6e89e318650d1eaf59e56388bb99a525e5f4e08031a22a65342eb","last_reissued_at":"2026-05-18T02:05:47.818829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:47.818829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Universality of Currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. Chertkov, N.A. Sinitsyn, V.Y. Chernyak","submitted_at":"2010-08-16T19:48:59Z","abstract_excerpt":"We discuss a non-equilibrium statistical system on a graph or network. Identical particles are injected, interact with each other, traverse, and leave the graph in a stochastic manner described in terms of Poisson rates, possibly dependent on time and instantaneous occupation numbers at the nodes of the graph. We show that under the assumption of constancy of the relative rates, the system demonstrates a profound statistical symmetry, resulting in geometric universality of the statistics of the particle currents. This phenomenon applies broadly to many man-made and natural open stochastic syst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2749","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":"1008.2749","created_at":"2026-05-18T02:05:47.818935+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2749v1","created_at":"2026-05-18T02:05:47.818935+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2749","created_at":"2026-05-18T02:05:47.818935+00:00"},{"alias_kind":"pith_short_12","alias_value":"IAQV2Y6O43UJ","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IAQV2Y6O43UJ4MMG","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IAQV2Y6O","created_at":"2026-05-18T12:26:09.077623+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/IAQV2Y6O43UJ4MMGKDI6V5M6KY","json":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY.json","graph_json":"https://pith.science/api/pith-number/IAQV2Y6O43UJ4MMGKDI6V5M6KY/graph.json","events_json":"https://pith.science/api/pith-number/IAQV2Y6O43UJ4MMGKDI6V5M6KY/events.json","paper":"https://pith.science/paper/IAQV2Y6O"},"agent_actions":{"view_html":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY","download_json":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY.json","view_paper":"https://pith.science/paper/IAQV2Y6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2749&json=true","fetch_graph":"https://pith.science/api/pith-number/IAQV2Y6O43UJ4MMGKDI6V5M6KY/graph.json","fetch_events":"https://pith.science/api/pith-number/IAQV2Y6O43UJ4MMGKDI6V5M6KY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY/action/storage_attestation","attest_author":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY/action/author_attestation","sign_citation":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY/action/citation_signature","submit_replication":"https://pith.science/pith/IAQV2Y6O43UJ4MMGKDI6V5M6KY/action/replication_record"}},"created_at":"2026-05-18T02:05:47.818935+00:00","updated_at":"2026-05-18T02:05:47.818935+00:00"}