{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:Z4O3CGHKAGNTZG43HFXZRXTULH","short_pith_number":"pith:Z4O3CGHK","schema_version":"1.0","canonical_sha256":"cf1db118ea019b3c9b9b396f98de7459c23d913562be23a74e1ddc39828d610b","source":{"kind":"arxiv","id":"1111.3097","version":2},"attestation_state":"computed","paper":{"title":"The tile assembly model is intrinsically universal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.DS","authors_text":"Damien Woods, David Doty, Jack H. Lutz, Matthew J. Patitz, Robert T. Schweller, Scott M. Summers","submitted_at":"2011-11-14T05:16:46Z","abstract_excerpt":"We prove that the abstract Tile Assembly Model (aTAM) of nanoscale self-assembly is intrinsically universal. This means that there is a single tile assembly system U that, with proper initialization, simulates any tile assembly system T. The simulation is \"intrinsic\" in the sense that the self-assembly process carried out by U is exactly that carried out by T, with each tile of T represented by an m x m \"supertile\" of U. Our construction works for the full aTAM at any temperature, and it faithfully simulates the deterministic or nondeterministic behavior of each T.\n  Our construction succeeds "},"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":"1111.3097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-11-14T05:16:46Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"6223e138d98ac3c768e4f24cb413d2806e1d9f13a939eded638b8b1ecf47d1cf","abstract_canon_sha256":"2f69790b4f397a5a511644678b80274ce4b30d366c8e84cd416061e53310fab4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:24.455329Z","signature_b64":"J9cnvhfvQiPaNGV5yh+j/JqiphouhBGkDv8ZAxw7tkYucr0HfEgaUOYQqKKtqQGNS/kytBW/HXFfWMXAHzS5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf1db118ea019b3c9b9b396f98de7459c23d913562be23a74e1ddc39828d610b","last_reissued_at":"2026-05-18T03:58:24.454735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:24.454735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The tile assembly model is intrinsically universal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.DS","authors_text":"Damien Woods, David Doty, Jack H. Lutz, Matthew J. Patitz, Robert T. Schweller, Scott M. Summers","submitted_at":"2011-11-14T05:16:46Z","abstract_excerpt":"We prove that the abstract Tile Assembly Model (aTAM) of nanoscale self-assembly is intrinsically universal. This means that there is a single tile assembly system U that, with proper initialization, simulates any tile assembly system T. The simulation is \"intrinsic\" in the sense that the self-assembly process carried out by U is exactly that carried out by T, with each tile of T represented by an m x m \"supertile\" of U. Our construction works for the full aTAM at any temperature, and it faithfully simulates the deterministic or nondeterministic behavior of each T.\n  Our construction succeeds "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3097","kind":"arxiv","version":2},"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":"1111.3097","created_at":"2026-05-18T03:58:24.454817+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.3097v2","created_at":"2026-05-18T03:58:24.454817+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3097","created_at":"2026-05-18T03:58:24.454817+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4O3CGHKAGNT","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4O3CGHKAGNTZG43","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4O3CGHK","created_at":"2026-05-18T12:26:47.523578+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/Z4O3CGHKAGNTZG43HFXZRXTULH","json":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH.json","graph_json":"https://pith.science/api/pith-number/Z4O3CGHKAGNTZG43HFXZRXTULH/graph.json","events_json":"https://pith.science/api/pith-number/Z4O3CGHKAGNTZG43HFXZRXTULH/events.json","paper":"https://pith.science/paper/Z4O3CGHK"},"agent_actions":{"view_html":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH","download_json":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH.json","view_paper":"https://pith.science/paper/Z4O3CGHK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.3097&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4O3CGHKAGNTZG43HFXZRXTULH/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4O3CGHKAGNTZG43HFXZRXTULH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH/action/storage_attestation","attest_author":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH/action/author_attestation","sign_citation":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH/action/citation_signature","submit_replication":"https://pith.science/pith/Z4O3CGHKAGNTZG43HFXZRXTULH/action/replication_record"}},"created_at":"2026-05-18T03:58:24.454817+00:00","updated_at":"2026-05-18T03:58:24.454817+00:00"}