{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ABRTMOE2DHMMIXDBB2M2OJXWJE","short_pith_number":"pith:ABRTMOE2","schema_version":"1.0","canonical_sha256":"006336389a19d8c45c610e99a726f6492142cf8ad62f0947a4023119b07c2523","source":{"kind":"arxiv","id":"1010.3916","version":1},"attestation_state":"computed","paper":{"title":"Stochastic kinetic models: Dynamic independence, modularity and graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM","stat.TH"],"primary_cat":"math.ST","authors_text":"Clive G. Bowsher","submitted_at":"2010-10-19T14:01:46Z","abstract_excerpt":"The dynamic properties and independence structure of stochastic kinetic models (SKMs) are analyzed. An SKM is a highly multivariate jump process used to model chemical reaction networks, particularly those in biochemical and cellular systems. We identify SKM subprocesses with the corresponding counting processes and propose a directed, cyclic graph (the kinetic independence graph or KIG) that encodes the local independence structure of their conditional intensities. Given a partition $[A,D,B]$ of the vertices, the graphical separation $A\\perp B|D$ in the undirected KIG has an intuitive chemica"},"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":"1010.3916","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-19T14:01:46Z","cross_cats_sorted":["q-bio.QM","stat.TH"],"title_canon_sha256":"5798aa8377dc8645e9575afdbf20883c6ed7f0699dcc0175175fbdeb65b3c169","abstract_canon_sha256":"789de5cf45f8fe95063b5ecb8de870d308ea7887c7d888e5184dc2c57ddebe3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:07.276590Z","signature_b64":"kUEU0d3uJYVjEuWKYdYYHLE6a0myoMDR719kgiPD5tch82C/kvtMTsgHC1R3v0924zFFmnRhb03pkxu4HE9KCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"006336389a19d8c45c610e99a726f6492142cf8ad62f0947a4023119b07c2523","last_reissued_at":"2026-05-18T04:39:07.275944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:07.275944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic kinetic models: Dynamic independence, modularity and graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM","stat.TH"],"primary_cat":"math.ST","authors_text":"Clive G. Bowsher","submitted_at":"2010-10-19T14:01:46Z","abstract_excerpt":"The dynamic properties and independence structure of stochastic kinetic models (SKMs) are analyzed. An SKM is a highly multivariate jump process used to model chemical reaction networks, particularly those in biochemical and cellular systems. We identify SKM subprocesses with the corresponding counting processes and propose a directed, cyclic graph (the kinetic independence graph or KIG) that encodes the local independence structure of their conditional intensities. Given a partition $[A,D,B]$ of the vertices, the graphical separation $A\\perp B|D$ in the undirected KIG has an intuitive chemica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3916","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":"1010.3916","created_at":"2026-05-18T04:39:07.276024+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.3916v1","created_at":"2026-05-18T04:39:07.276024+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3916","created_at":"2026-05-18T04:39:07.276024+00:00"},{"alias_kind":"pith_short_12","alias_value":"ABRTMOE2DHMM","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"ABRTMOE2DHMMIXDB","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"ABRTMOE2","created_at":"2026-05-18T12:26:05.355336+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/ABRTMOE2DHMMIXDBB2M2OJXWJE","json":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE.json","graph_json":"https://pith.science/api/pith-number/ABRTMOE2DHMMIXDBB2M2OJXWJE/graph.json","events_json":"https://pith.science/api/pith-number/ABRTMOE2DHMMIXDBB2M2OJXWJE/events.json","paper":"https://pith.science/paper/ABRTMOE2"},"agent_actions":{"view_html":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE","download_json":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE.json","view_paper":"https://pith.science/paper/ABRTMOE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.3916&json=true","fetch_graph":"https://pith.science/api/pith-number/ABRTMOE2DHMMIXDBB2M2OJXWJE/graph.json","fetch_events":"https://pith.science/api/pith-number/ABRTMOE2DHMMIXDBB2M2OJXWJE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE/action/storage_attestation","attest_author":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE/action/author_attestation","sign_citation":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE/action/citation_signature","submit_replication":"https://pith.science/pith/ABRTMOE2DHMMIXDBB2M2OJXWJE/action/replication_record"}},"created_at":"2026-05-18T04:39:07.276024+00:00","updated_at":"2026-05-18T04:39:07.276024+00:00"}