{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2ZYW5W577T7TCO2JBGKFRBMNQO","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":"7cbc59a18182e22609e7ce0aa0f9cdfc0a9448f37cd0b5198f126aecbc3b8621","cross_cats_sorted":["cs.DC","cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-07-06T19:04:52Z","title_canon_sha256":"61d96579b49614134ad6476a92a8e5524c183b91d75168a94008cabcd355d82a"},"schema_version":"1.0","source":{"id":"0907.1072","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1072","created_at":"2026-05-18T04:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1072v2","created_at":"2026-05-18T04:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1072","created_at":"2026-05-18T04:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"2ZYW5W577T7T","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2ZYW5W577T7TCO2J","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2ZYW5W57","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:2cc1f0c5116bfbdb3f221b82faf3343478c009fbe5c8eb16f87f2965f7127c39","target":"graph","created_at":"2026-05-18T04:17:15Z","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":"In 2004, Klavins et al. introduced the use of graph grammars to describe -- and to program -- systems of self-assembly. We show that these graph grammars can be embedded in a graph rewriting characterization of distributed systems that was proposed by Degano and Montanari over twenty years ago. We apply this embedding to generalize Soloveichik and Winfree's local determinism criterion (for achieving a unique terminal assembly), from assembly systems of 4-sided tiles that embed in the plane, to arbitrary graph assembly systems. We present a partial converse of the embedding result, by providing","authors_text":"Aaron Sterling","cross_cats":["cs.DC","cs.RO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-07-06T19:04:52Z","title":"Self-Assembling Systems are Distributed Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1072","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":"sha256:8d2ddd2f741c315937f123129a0db9c890ca4d4bf12d55b32daff6ff6fbcb05f","target":"record","created_at":"2026-05-18T04:17:15Z","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":"7cbc59a18182e22609e7ce0aa0f9cdfc0a9448f37cd0b5198f126aecbc3b8621","cross_cats_sorted":["cs.DC","cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-07-06T19:04:52Z","title_canon_sha256":"61d96579b49614134ad6476a92a8e5524c183b91d75168a94008cabcd355d82a"},"schema_version":"1.0","source":{"id":"0907.1072","kind":"arxiv","version":2}},"canonical_sha256":"d6716edbbffcff313b49099458858d8384f6b95311ec58ed6188ce90226ef334","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6716edbbffcff313b49099458858d8384f6b95311ec58ed6188ce90226ef334","first_computed_at":"2026-05-18T04:17:15.529159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:15.529159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"81uoqixcMFdp3FNsJraGS1hl2Q2EW+1MzwnTTcibBNDlkBO7vyjcidvMqs2SIUZfx+tOVXS446SukvwByRFHAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:15.529964Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.1072","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d2ddd2f741c315937f123129a0db9c890ca4d4bf12d55b32daff6ff6fbcb05f","sha256:2cc1f0c5116bfbdb3f221b82faf3343478c009fbe5c8eb16f87f2965f7127c39"],"state_sha256":"78e5f418318fcced4bd5b150cc7b4341e60a5817f6ef5d3699f4a115e42cf20f"}