{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:ARJU7FOMGYZRYAXY5LBJXENSB3","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":"7a1a36f6a3c0ab954f6984fb65e1e5d7e8fdff89bbf57dda63103f7f8761d3bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2008-01-08T06:04:37Z","title_canon_sha256":"e6a412b6b528d120c1670aa81a49116a067f16007adb2d6af59393e51ab34fc6"},"schema_version":"1.0","source":{"id":"0801.1245","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.1245","created_at":"2026-07-04T17:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"0801.1245v2","created_at":"2026-07-04T17:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.1245","created_at":"2026-07-04T17:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"ARJU7FOMGYZR","created_at":"2026-07-04T17:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"ARJU7FOMGYZRYAXY","created_at":"2026-07-04T17:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"ARJU7FOM","created_at":"2026-07-04T17:15:52Z"}],"graph_snapshots":[{"event_id":"sha256:095a8769dcc63054dad9fb3d32e0a11cfef22dd0cfa3a292a2a2307a66440c36","target":"graph","created_at":"2026-07-04T17:15:52Z","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/0801.1245/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This book objective is to develop an algebraization of graph grammars. Equivalently, we study graph dynamics. From the point of view of a computer scientist, graph grammars are a natural generalization of Chomsky grammars for which a purely algebraic approach does not exist up to now. A Chomsky (or string) grammar is, roughly speaking, a precise description of a formal language (which in essence is a set of strings). On a more discrete mathematical style, it can be said that graph grammars -- Matrix Graph Grammars in particular -- study dynamics of graphs. Ideally, this algebraization would en","authors_text":"Pedro Pablo Perez Velasco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2008-01-08T06:04:37Z","title":"Matrix Graph Grammars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.1245","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:d49aa8ba075c97e97c58339f5244cd31d481680ad5136bcee70aca6df5fb88de","target":"record","created_at":"2026-07-04T17:15:52Z","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":"7a1a36f6a3c0ab954f6984fb65e1e5d7e8fdff89bbf57dda63103f7f8761d3bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2008-01-08T06:04:37Z","title_canon_sha256":"e6a412b6b528d120c1670aa81a49116a067f16007adb2d6af59393e51ab34fc6"},"schema_version":"1.0","source":{"id":"0801.1245","kind":"arxiv","version":2}},"canonical_sha256":"04534f95cc36331c02f8eac29b91b20ed3f07aa16af8c9587b93dffae25dddbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04534f95cc36331c02f8eac29b91b20ed3f07aa16af8c9587b93dffae25dddbf","first_computed_at":"2026-07-04T17:15:52.013595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:15:52.013595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nSeAcoe/hdOKzRdF0Q2N49ZYgzAyyTqHczrgOV6hIQ51WTtV+2HA2nmnKjZ3GtmJBjnD180vSoLBNShC1q5BAg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:15:52.014071Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.1245","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d49aa8ba075c97e97c58339f5244cd31d481680ad5136bcee70aca6df5fb88de","sha256:095a8769dcc63054dad9fb3d32e0a11cfef22dd0cfa3a292a2a2307a66440c36"],"state_sha256":"4551b8b631b77004d92c035777bd3ced015cabc904791cd53dab3b6e4842baf7"}