{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TCN5YPEEDDBJDBKFK5NZHVZYML","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":"2c0631eca4d0f08167d15cae72f00192861d82012cc5a182306b6bd21b53c30b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-12-17T22:13:22Z","title_canon_sha256":"4f8178a1c232a21af38fe60c0325a94207261f654331f3affe0ed5dbf2bd2b33"},"schema_version":"1.0","source":{"id":"1312.4987","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4987","created_at":"2026-05-18T03:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4987v1","created_at":"2026-05-18T03:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4987","created_at":"2026-05-18T03:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"TCN5YPEEDDBJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TCN5YPEEDDBJDBKF","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TCN5YPEE","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:5f1941836e08d6d7514125c1e7c66acf042cca9465a26b381db16d0909ad5f78","target":"graph","created_at":"2026-05-18T03:04:16Z","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":"This is a chapter surveying the current state of our understanding of tilings with infinite local complexity. It is intended to appear in the volume {\\em Directions in Aperiodic Order}, D. Lenz, J. Kellendonk, and J. Savienen, eds.","authors_text":"Natalie Priebe Frank","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-12-17T22:13:22Z","title":"Tilings with infinite local complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4987","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":"sha256:1014766f85247fc99e6f8adad67729c9a625b0348f392002b27893e96bb3baa1","target":"record","created_at":"2026-05-18T03:04:16Z","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":"2c0631eca4d0f08167d15cae72f00192861d82012cc5a182306b6bd21b53c30b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-12-17T22:13:22Z","title_canon_sha256":"4f8178a1c232a21af38fe60c0325a94207261f654331f3affe0ed5dbf2bd2b33"},"schema_version":"1.0","source":{"id":"1312.4987","kind":"arxiv","version":1}},"canonical_sha256":"989bdc3c8418c2918545575b93d73862e985b5afb4955c1c6f5f621f036c0a9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"989bdc3c8418c2918545575b93d73862e985b5afb4955c1c6f5f621f036c0a9a","first_computed_at":"2026-05-18T03:04:16.634785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:16.634785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WMBva9380o5XKXK31/bNeE60MJ8Ee6DvkPS+Ti3Cr1v6lK9D995iDmFu1IL1yaEoA0wZiUf0DVN83+OQBCRxAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:16.635395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4987","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1014766f85247fc99e6f8adad67729c9a625b0348f392002b27893e96bb3baa1","sha256:5f1941836e08d6d7514125c1e7c66acf042cca9465a26b381db16d0909ad5f78"],"state_sha256":"d94fd49c41bb20740860ba433dc0a327d2585778183ca87eeccf886bf272caa4"}