{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:UGQRC6ARWJTX357ICBC25OD4QM","short_pith_number":"pith:UGQRC6AR","canonical_record":{"source":{"id":"1503.00327","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-03-01T18:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"39b286f78fd87655fe034735535dc987638d21e84bb80210aa032737f64d5305","abstract_canon_sha256":"b39a2004efaba41a8ffa7cd102e0ce5831e45971bb8734064bbd9d9a3e7a775e"},"schema_version":"1.0"},"canonical_sha256":"a1a1117811b2677df7e81045aeb87c83198840feac90be1e12e8f826eb557fd8","source":{"kind":"arxiv","id":"1503.00327","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00327","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00327v2","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00327","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"UGQRC6ARWJTX","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UGQRC6ARWJTX357I","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UGQRC6AR","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:UGQRC6ARWJTX357ICBC25OD4QM","target":"record","payload":{"canonical_record":{"source":{"id":"1503.00327","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-03-01T18:47:24Z","cross_cats_sorted":[],"title_canon_sha256":"39b286f78fd87655fe034735535dc987638d21e84bb80210aa032737f64d5305","abstract_canon_sha256":"b39a2004efaba41a8ffa7cd102e0ce5831e45971bb8734064bbd9d9a3e7a775e"},"schema_version":"1.0"},"canonical_sha256":"a1a1117811b2677df7e81045aeb87c83198840feac90be1e12e8f826eb557fd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:04.874280Z","signature_b64":"3XtlAVi+6cew2emH7xWU7Vyf5Kv6/BprWfZCejLGNFfDcSg/tEOxFpB+uE57nWBEdJ2vlnsrrKzlQ7p59JvFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1a1117811b2677df7e81045aeb87c83198840feac90be1e12e8f826eb557fd8","last_reissued_at":"2026-05-18T01:35:04.873629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:04.873629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.00327","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vuKoeWs641RDHLe/kRoFCqZ5a4Z7n+ZoP9QJSuMeX2B55+WZJpoPyvKKwfCyRnAxPBZQYE7DVv+IS7hQNHsMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:05:18.316106Z"},"content_sha256":"5d8ccc826ebb1c13c3e7324a3b1b5480886dc3a078549b415586a9e003ebde57","schema_version":"1.0","event_id":"sha256:5d8ccc826ebb1c13c3e7324a3b1b5480886dc3a078549b415586a9e003ebde57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:UGQRC6ARWJTX357ICBC25OD4QM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computing in continuous space with self-assembling polygonal tiles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Jacob Hendricks, Matthew J. Patitz, Oscar Gilbert, Trent A. Rogers","submitted_at":"2015-03-01T18:47:24Z","abstract_excerpt":"In this paper we investigate the computational power of the polygonal tile assembly model (polygonal TAM) at temperature 1, i.e. in non-cooperative systems. The polygonal TAM is an extension of Winfree's abstract tile assembly model (aTAM) which not only allows for square tiles (as in the aTAM) but also allows for tile shapes that are polygons. Although a number of self-assembly results have shown computational universality at temperature 1, these are the first results to do so by fundamentally relying on tile placements in continuous, rather than discrete, space. With the square tiles of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00327","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bqNsAxI+WsxQytvQbBYK9dNBWljC+C1oGt9pk58bNNRHuJzwwNfXlBNGicQMNC+9ivb5FfsU25CoAZvgTpneBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:05:18.316913Z"},"content_sha256":"02d71c9a3fae6be4ff61087817063d4171be60b5aa531ecafe88f0d8939e6af6","schema_version":"1.0","event_id":"sha256:02d71c9a3fae6be4ff61087817063d4171be60b5aa531ecafe88f0d8939e6af6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGQRC6ARWJTX357ICBC25OD4QM/bundle.json","state_url":"https://pith.science/pith/UGQRC6ARWJTX357ICBC25OD4QM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGQRC6ARWJTX357ICBC25OD4QM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T20:05:18Z","links":{"resolver":"https://pith.science/pith/UGQRC6ARWJTX357ICBC25OD4QM","bundle":"https://pith.science/pith/UGQRC6ARWJTX357ICBC25OD4QM/bundle.json","state":"https://pith.science/pith/UGQRC6ARWJTX357ICBC25OD4QM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGQRC6ARWJTX357ICBC25OD4QM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UGQRC6ARWJTX357ICBC25OD4QM","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":"b39a2004efaba41a8ffa7cd102e0ce5831e45971bb8734064bbd9d9a3e7a775e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-03-01T18:47:24Z","title_canon_sha256":"39b286f78fd87655fe034735535dc987638d21e84bb80210aa032737f64d5305"},"schema_version":"1.0","source":{"id":"1503.00327","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00327","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00327v2","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00327","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"UGQRC6ARWJTX","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UGQRC6ARWJTX357I","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UGQRC6AR","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:02d71c9a3fae6be4ff61087817063d4171be60b5aa531ecafe88f0d8939e6af6","target":"graph","created_at":"2026-05-18T01:35:04Z","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 this paper we investigate the computational power of the polygonal tile assembly model (polygonal TAM) at temperature 1, i.e. in non-cooperative systems. The polygonal TAM is an extension of Winfree's abstract tile assembly model (aTAM) which not only allows for square tiles (as in the aTAM) but also allows for tile shapes that are polygons. Although a number of self-assembly results have shown computational universality at temperature 1, these are the first results to do so by fundamentally relying on tile placements in continuous, rather than discrete, space. With the square tiles of the ","authors_text":"Jacob Hendricks, Matthew J. Patitz, Oscar Gilbert, Trent A. Rogers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-03-01T18:47:24Z","title":"Computing in continuous space with self-assembling polygonal tiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00327","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":"sha256:5d8ccc826ebb1c13c3e7324a3b1b5480886dc3a078549b415586a9e003ebde57","target":"record","created_at":"2026-05-18T01:35:04Z","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":"b39a2004efaba41a8ffa7cd102e0ce5831e45971bb8734064bbd9d9a3e7a775e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-03-01T18:47:24Z","title_canon_sha256":"39b286f78fd87655fe034735535dc987638d21e84bb80210aa032737f64d5305"},"schema_version":"1.0","source":{"id":"1503.00327","kind":"arxiv","version":2}},"canonical_sha256":"a1a1117811b2677df7e81045aeb87c83198840feac90be1e12e8f826eb557fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1a1117811b2677df7e81045aeb87c83198840feac90be1e12e8f826eb557fd8","first_computed_at":"2026-05-18T01:35:04.873629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:04.873629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3XtlAVi+6cew2emH7xWU7Vyf5Kv6/BprWfZCejLGNFfDcSg/tEOxFpB+uE57nWBEdJ2vlnsrrKzlQ7p59JvFBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:04.874280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00327","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d8ccc826ebb1c13c3e7324a3b1b5480886dc3a078549b415586a9e003ebde57","sha256:02d71c9a3fae6be4ff61087817063d4171be60b5aa531ecafe88f0d8939e6af6"],"state_sha256":"610cde3b2d15470bc535b96b098ff8dc23f9d0b0609d4a77c848b32990bdaac7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I3yOUVoElHWByTGm73rPuw0ytmxJygstV2TIb+6RX48lMHSRQR/soqOjzuFHMbd8xdewifN/jXF+hnHkcnJxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T20:05:18.321015Z","bundle_sha256":"14095bb0149194fbccec7155f2337871502bd51ec641d46e715801ff7dfac8e6"}}