{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NPQ2UNPDJ4CDFP677UYGWST5GR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6f117923e17737484e24aed8326ca48d6e9ff6ee7fbbc78f58a5c1e7d5b36143","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-01-12T17:00:52Z","title_canon_sha256":"60125624c6eb6e8590354be01da998aa1d980fe6f8fda71919207afb211d80bf"},"schema_version":"1.0","source":{"id":"2401.06696","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.06696","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"2401.06696v2","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.06696","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"NPQ2UNPDJ4CD","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_16","alias_value":"NPQ2UNPDJ4CDFP67","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_8","alias_value":"NPQ2UNPD","created_at":"2026-07-05T11:32:14Z"}],"graph_snapshots":[{"event_id":"sha256:33e46c61b2f41e91dea412bd792abd5660bae40afc703db2c4613b984088b620","target":"graph","created_at":"2026-07-05T11:32:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2401.06696/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show the variational convergence of an irreversible Markov jump process describing a finite stochastic particle system to the solution of a countable infinite system of deterministic time-inhomogeneous quadratic differential equations known as the exchange-driven growth model, which has two conserved quantities. As a bounded perturbation of the reversible kernel, the variational formulation is a generalization of the gradient flow formulation of the reversible process and can be interpreted as the large deviation functional of the Markov jump process. As a consequence of the variational con","authors_text":"Andr\\'e Schlichting, Chun Yin Lam, Jasper Hoeksema","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-01-12T17:00:52Z","title":"Variational convergence for an irreversible exchange-driven stochastic particle system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.06696","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6eb18796d71f7d9b0b5a67c89ed37b3797119ade062d4b5deb9d4099d306086b","target":"record","created_at":"2026-07-05T11:32:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6f117923e17737484e24aed8326ca48d6e9ff6ee7fbbc78f58a5c1e7d5b36143","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-01-12T17:00:52Z","title_canon_sha256":"60125624c6eb6e8590354be01da998aa1d980fe6f8fda71919207afb211d80bf"},"schema_version":"1.0","source":{"id":"2401.06696","kind":"arxiv","version":2}},"canonical_sha256":"6be1aa35e34f0432bfdffd306b4a7d344773ccb452a3ce113c29747b1dfb6108","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6be1aa35e34f0432bfdffd306b4a7d344773ccb452a3ce113c29747b1dfb6108","first_computed_at":"2026-07-05T11:32:14.307907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:32:14.307907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JppS8pX38QTZXg7dIqZ7RDXoa1SPwLhZa/9+2I0PY483IRm0d7v7NzG71Daqqhg+hBrbMQbtour4QhXkC2w5Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:32:14.308448Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.06696","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eb18796d71f7d9b0b5a67c89ed37b3797119ade062d4b5deb9d4099d306086b","sha256:33e46c61b2f41e91dea412bd792abd5660bae40afc703db2c4613b984088b620"],"state_sha256":"a637ebcc43a45ba86533adab49e61054a8ff7263d894c898a5f62476c4643764"}