{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:35KAMFPEGCDBV6T4R3VFX5D7BU","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":"78999f6d1360b3f00e0ad29eb5962e948f3f9deb37faa9b5eeb2563450bcc011","cross_cats_sorted":["physics.bio-ph","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-03-15T15:43:15Z","title_canon_sha256":"46f90991651643041fa5c2960a35bf74419ce9271ea250b690b1dd011be56262"},"schema_version":"1.0","source":{"id":"1203.3395","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3395","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3395v1","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3395","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"35KAMFPEGCDB","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"35KAMFPEGCDBV6T4","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"35KAMFPE","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:4f848ad41799f2d35790d3fd2ca239f1281c54a93bf67105d6ae4b67176c7177","target":"graph","created_at":"2026-05-18T00:37:37Z","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":"Biochemical reaction systems may be viewed as discrete event processes characterized by a number of states and state transitions. These systems may be modeled as state transition systems with transitions representing individual reaction events. Since they often involve a large number of interactions, it can be difficult to construct such a model for a system, and since the resulting state-level model can involve a huge number of states, model analysis can be difficult or impossible. Here, we describe methods for the high-level specification of a system using hypergraphs, for the automated gene","authors_text":"Daniel A. Beard, Scott M. Bugenhagen","cross_cats":["physics.bio-ph","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-03-15T15:43:15Z","title":"Specification, Construction, and Exact Reduction of State Transition System Models of Biochemical Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3395","kind":"arxiv","version":1},"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":"sha256:2c9df6493adc58324b2299178339edad692511f3871683ef143c85ad3913ba83","target":"record","created_at":"2026-05-18T00:37:37Z","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":"78999f6d1360b3f00e0ad29eb5962e948f3f9deb37faa9b5eeb2563450bcc011","cross_cats_sorted":["physics.bio-ph","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2012-03-15T15:43:15Z","title_canon_sha256":"46f90991651643041fa5c2960a35bf74419ce9271ea250b690b1dd011be56262"},"schema_version":"1.0","source":{"id":"1203.3395","kind":"arxiv","version":1}},"canonical_sha256":"df540615e430861afa7c8eea5bf47f0d1807d52346d180ee709a0fbe9f8048b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df540615e430861afa7c8eea5bf47f0d1807d52346d180ee709a0fbe9f8048b6","first_computed_at":"2026-05-18T00:37:37.789864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:37.789864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TAbDA+a/n54uD+75DiT8Kp3uuu9ha8f0Z8NiqbvzzxyeA/k6m9n5v/widrQQWyDnMUMVr6btdV9TjsyYoSb4CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:37.790570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3395","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c9df6493adc58324b2299178339edad692511f3871683ef143c85ad3913ba83","sha256:4f848ad41799f2d35790d3fd2ca239f1281c54a93bf67105d6ae4b67176c7177"],"state_sha256":"238a7ab5734195b3fe2d5aac21e4fad370d82e65e5179bc266060c83f7faf583"}