{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4XYLBJRORSPGFU3IXVUHPNV7IQ","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":"b5e500774ad0148448a082e2b7e7f8819b9b3d634a59c8c75e370082d0703ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-23T02:51:47Z","title_canon_sha256":"c3db03436e170772c30cc0c196af248b115dc79de01b5c722e8d801360203970"},"schema_version":"1.0","source":{"id":"1210.6109","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6109","created_at":"2026-05-18T01:31:53Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6109v4","created_at":"2026-05-18T01:31:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6109","created_at":"2026-05-18T01:31:53Z"},{"alias_kind":"pith_short_12","alias_value":"4XYLBJRORSPG","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4XYLBJRORSPGFU3I","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4XYLBJRO","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:bd58eab11ec94f778c5eda293dc28512802794e49119f192e8ee283235a560ad","target":"graph","created_at":"2026-05-18T01:31:53Z","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"},"paper":{"abstract_excerpt":"We derive an integration by parts formula for functionals of determinantal processes on compact sets, completing the arguments of [4]. This is used to show the existence of a configuration-valued diffusion process which is non-colliding and admits the distribution of the determinantal process as reversible law. In particular, this approach allows us to build a concrete example of the associated diffusion process, providing an illustration of the results of [4] and [30].","authors_text":"Giovanni Luca Torrisi, Ian Flint, Laurent Decreusefond, Nicolas Privault","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-23T02:51:47Z","title":"Stochastic dynamics of determinantal processes by integration by parts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6109","kind":"arxiv","version":4},"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":"sha256:526b495b3adc9479fb9eac936cd8275e189f638534eedac667b9f8187aac681d","target":"record","created_at":"2026-05-18T01:31:53Z","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":"b5e500774ad0148448a082e2b7e7f8819b9b3d634a59c8c75e370082d0703ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-23T02:51:47Z","title_canon_sha256":"c3db03436e170772c30cc0c196af248b115dc79de01b5c722e8d801360203970"},"schema_version":"1.0","source":{"id":"1210.6109","kind":"arxiv","version":4}},"canonical_sha256":"e5f0b0a62e8c9e62d368bd6877b6bf4411a774af6c4a00c790858fb9ee3fb327","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5f0b0a62e8c9e62d368bd6877b6bf4411a774af6c4a00c790858fb9ee3fb327","first_computed_at":"2026-05-18T01:31:53.651424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:53.651424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V5OXW90TK4aT+KXOOtHCPLlu3jqjhXZq5j9OZME0vGVqpAj+5U+eWd7wf8TKJ0R/5RdhTXuUuIQlJYLPnzWOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:53.652044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6109","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:526b495b3adc9479fb9eac936cd8275e189f638534eedac667b9f8187aac681d","sha256:bd58eab11ec94f778c5eda293dc28512802794e49119f192e8ee283235a560ad"],"state_sha256":"2545ef9c0dd34dc7b245c9af09da0409cfe0064d5e471def06f0250a014aa247"}