{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HUAK6RDWWCC5QVBO6AXWFBPATQ","short_pith_number":"pith:HUAK6RDW","canonical_record":{"source":{"id":"1411.3644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-11-13T18:10:22Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"f884656a5573c07ff5a3b4c5ec3e000312772bcd07e4b5056a3498a1f407e408","abstract_canon_sha256":"3a43a3e890537281b9b4df5a5df4ec612f34e6010cc3916a1e230b9657ad249f"},"schema_version":"1.0"},"canonical_sha256":"3d00af4476b085d8542ef02f6285e09c2cefcb2036c40db8b1e31402e7e671b9","source":{"kind":"arxiv","id":"1411.3644","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3644","created_at":"2026-05-18T02:20:30Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3644v1","created_at":"2026-05-18T02:20:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3644","created_at":"2026-05-18T02:20:30Z"},{"alias_kind":"pith_short_12","alias_value":"HUAK6RDWWCC5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HUAK6RDWWCC5QVBO","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HUAK6RDW","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HUAK6RDWWCC5QVBO6AXWFBPATQ","target":"record","payload":{"canonical_record":{"source":{"id":"1411.3644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-11-13T18:10:22Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"f884656a5573c07ff5a3b4c5ec3e000312772bcd07e4b5056a3498a1f407e408","abstract_canon_sha256":"3a43a3e890537281b9b4df5a5df4ec612f34e6010cc3916a1e230b9657ad249f"},"schema_version":"1.0"},"canonical_sha256":"3d00af4476b085d8542ef02f6285e09c2cefcb2036c40db8b1e31402e7e671b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:30.556556Z","signature_b64":"/aLvrdbvuNT9jUboNGwPtcHiKuAnKkoMmuleKl0k4rcl6rlC2+gQOumtKLcYBy8Esz4tewA68MkNbXe6pZcDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d00af4476b085d8542ef02f6285e09c2cefcb2036c40db8b1e31402e7e671b9","last_reissued_at":"2026-05-18T02:20:30.556057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:30.556057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.3644","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:20:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZDrZODZ+4PfnT1Vi9kA2UcXcRTyKY1NCbN5DjOzmwkuodnYHdKwaNOM8xT6oZyzrANNQmXCwlRcAshC9qsuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:40:31.302657Z"},"content_sha256":"d6f35998ef681f17d7cd75cbb3ffb04bb89800fe3aff8adc57d73170303794d2","schema_version":"1.0","event_id":"sha256:d6f35998ef681f17d7cd75cbb3ffb04bb89800fe3aff8adc57d73170303794d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HUAK6RDWWCC5QVBO6AXWFBPATQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergent rhombus tilings from molecular interactions with $M$-fold rotational symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Isaac Tamblyn, Juan P. Garrahan, Peter H. Beton, Stephen Whitelam","submitted_at":"2014-11-13T18:10:22Z","abstract_excerpt":"We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules spontaneously select irregular 4-fold local coordination from a larger set of possible local binding geometries. The existence of such networks can be rationalized by simple geometrical arguments, but the same arguments do not guarantee networks' spontaneous self-assembly. This class of structures must in certain regimes of parameter space be able to reconfigure into networks equivalent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3644","kind":"arxiv","version":1},"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":"2026-05-18T02:20:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9oPwVoJRoGN6RlOmYDn66DXudOlgboCLfAX/PUDvsT3GsCEzCNm5kj0FUJALrLw8X4hfrOO7CjRnef3Rs8+JBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:40:31.303459Z"},"content_sha256":"a1e78d8be467cbfb6143eef08e9229043c9695c4ddc1a1f0073257732442371b","schema_version":"1.0","event_id":"sha256:a1e78d8be467cbfb6143eef08e9229043c9695c4ddc1a1f0073257732442371b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ/bundle.json","state_url":"https://pith.science/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ/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":"2026-05-31T09:40:31Z","links":{"resolver":"https://pith.science/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ","bundle":"https://pith.science/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ/bundle.json","state":"https://pith.science/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUAK6RDWWCC5QVBO6AXWFBPATQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HUAK6RDWWCC5QVBO6AXWFBPATQ","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":"3a43a3e890537281b9b4df5a5df4ec612f34e6010cc3916a1e230b9657ad249f","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-11-13T18:10:22Z","title_canon_sha256":"f884656a5573c07ff5a3b4c5ec3e000312772bcd07e4b5056a3498a1f407e408"},"schema_version":"1.0","source":{"id":"1411.3644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3644","created_at":"2026-05-18T02:20:30Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3644v1","created_at":"2026-05-18T02:20:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3644","created_at":"2026-05-18T02:20:30Z"},{"alias_kind":"pith_short_12","alias_value":"HUAK6RDWWCC5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HUAK6RDWWCC5QVBO","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HUAK6RDW","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:a1e78d8be467cbfb6143eef08e9229043c9695c4ddc1a1f0073257732442371b","target":"graph","created_at":"2026-05-18T02:20:30Z","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":"We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules spontaneously select irregular 4-fold local coordination from a larger set of possible local binding geometries. The existence of such networks can be rationalized by simple geometrical arguments, but the same arguments do not guarantee networks' spontaneous self-assembly. This class of structures must in certain regimes of parameter space be able to reconfigure into networks equivalent ","authors_text":"Isaac Tamblyn, Juan P. Garrahan, Peter H. Beton, Stephen Whitelam","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-11-13T18:10:22Z","title":"Emergent rhombus tilings from molecular interactions with $M$-fold rotational symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3644","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:d6f35998ef681f17d7cd75cbb3ffb04bb89800fe3aff8adc57d73170303794d2","target":"record","created_at":"2026-05-18T02:20:30Z","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":"3a43a3e890537281b9b4df5a5df4ec612f34e6010cc3916a1e230b9657ad249f","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-11-13T18:10:22Z","title_canon_sha256":"f884656a5573c07ff5a3b4c5ec3e000312772bcd07e4b5056a3498a1f407e408"},"schema_version":"1.0","source":{"id":"1411.3644","kind":"arxiv","version":1}},"canonical_sha256":"3d00af4476b085d8542ef02f6285e09c2cefcb2036c40db8b1e31402e7e671b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d00af4476b085d8542ef02f6285e09c2cefcb2036c40db8b1e31402e7e671b9","first_computed_at":"2026-05-18T02:20:30.556057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:30.556057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/aLvrdbvuNT9jUboNGwPtcHiKuAnKkoMmuleKl0k4rcl6rlC2+gQOumtKLcYBy8Esz4tewA68MkNbXe6pZcDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:30.556556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6f35998ef681f17d7cd75cbb3ffb04bb89800fe3aff8adc57d73170303794d2","sha256:a1e78d8be467cbfb6143eef08e9229043c9695c4ddc1a1f0073257732442371b"],"state_sha256":"8c1937d5c27fca882dfb33d66a2af8015bf2188f63c06f990a0b155db85f607e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m7x78SNXYZ57srngJ7addD+DtdFmWns21iRnw2sn06V+9sASDZ2CiqtLhnW8ourDR5J15nfGiUKOZiOQoTNtDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:40:31.307547Z","bundle_sha256":"83e5279b41e59874a8ecdcdb2a627a1c2742c0390e245f72f94731c899acc259"}}