{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:NPQ2UNPDJ4CDFP677UYGWST5GR","short_pith_number":"pith:NPQ2UNPD","canonical_record":{"source":{"id":"2401.06696","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-01-12T17:00:52Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"60125624c6eb6e8590354be01da998aa1d980fe6f8fda71919207afb211d80bf","abstract_canon_sha256":"6f117923e17737484e24aed8326ca48d6e9ff6ee7fbbc78f58a5c1e7d5b36143"},"schema_version":"1.0"},"canonical_sha256":"6be1aa35e34f0432bfdffd306b4a7d344773ccb452a3ce113c29747b1dfb6108","source":{"kind":"arxiv","id":"2401.06696","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:NPQ2UNPDJ4CDFP677UYGWST5GR","target":"record","payload":{"canonical_record":{"source":{"id":"2401.06696","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-01-12T17:00:52Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"60125624c6eb6e8590354be01da998aa1d980fe6f8fda71919207afb211d80bf","abstract_canon_sha256":"6f117923e17737484e24aed8326ca48d6e9ff6ee7fbbc78f58a5c1e7d5b36143"},"schema_version":"1.0"},"canonical_sha256":"6be1aa35e34f0432bfdffd306b4a7d344773ccb452a3ce113c29747b1dfb6108","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:32:14.308448Z","signature_b64":"JppS8pX38QTZXg7dIqZ7RDXoa1SPwLhZa/9+2I0PY483IRm0d7v7NzG71Daqqhg+hBrbMQbtour4QhXkC2w5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6be1aa35e34f0432bfdffd306b4a7d344773ccb452a3ce113c29747b1dfb6108","last_reissued_at":"2026-07-05T11:32:14.307907Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:32:14.307907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.06696","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kQZo/rvH++0UkFBIBy4KMn9clh5Vrl8UPjqqWLWOVAe1j6Dl58aDu8iBbbjuzoB5L73kn1dxUtTLy+5/T6i2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:25:00.519604Z"},"content_sha256":"6eb18796d71f7d9b0b5a67c89ed37b3797119ade062d4b5deb9d4099d306086b","schema_version":"1.0","event_id":"sha256:6eb18796d71f7d9b0b5a67c89ed37b3797119ade062d4b5deb9d4099d306086b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:NPQ2UNPDJ4CDFP677UYGWST5GR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational convergence for an irreversible exchange-driven stochastic particle system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Andr\\'e Schlichting, Chun Yin Lam, Jasper Hoeksema","submitted_at":"2024-01-12T17:00:52Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.06696","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2401.06696/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZh/4anFEYucTGkVJqrwcfbjyvzoRBuLLbkpgpSNM+YaRaKdQP/KDUSWKGo5Sazwc2Z69pE8BCRSgqfaWxvPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:25:00.520130Z"},"content_sha256":"33e46c61b2f41e91dea412bd792abd5660bae40afc703db2c4613b984088b620","schema_version":"1.0","event_id":"sha256:33e46c61b2f41e91dea412bd792abd5660bae40afc703db2c4613b984088b620"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPQ2UNPDJ4CDFP677UYGWST5GR/bundle.json","state_url":"https://pith.science/pith/NPQ2UNPDJ4CDFP677UYGWST5GR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPQ2UNPDJ4CDFP677UYGWST5GR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T22:25:00Z","links":{"resolver":"https://pith.science/pith/NPQ2UNPDJ4CDFP677UYGWST5GR","bundle":"https://pith.science/pith/NPQ2UNPDJ4CDFP677UYGWST5GR/bundle.json","state":"https://pith.science/pith/NPQ2UNPDJ4CDFP677UYGWST5GR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPQ2UNPDJ4CDFP677UYGWST5GR/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YYgeOskz9bxgg8igaJWwnnRRyrHKl+0DxVEeBrwsYp2kZ7OhrWORZ9AODI5ex0k8aHg55xw1LKXXPWO4zOx1AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:25:00.524103Z","bundle_sha256":"f6c2708ca75a0fe7077318571b09d247b1e8c3c996415e4d8bddabc10ddda00a"}}