{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GX4U22M2FAEZAQKHEKMMLMWB4K","short_pith_number":"pith:GX4U22M2","schema_version":"1.0","canonical_sha256":"35f94d699a28099041472298c5b2c1e2b7fa52ea3dc6f8c231f26fb8cd23e49e","source":{"kind":"arxiv","id":"1203.1387","version":1},"attestation_state":"computed","paper":{"title":"Combinatorics and topology of the Robinson tiling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.DS","authors_text":"Antoine Julien, Franz G\\\"ahler, Jean Savinien","submitted_at":"2012-03-07T06:33:39Z","abstract_excerpt":"We study the space of all tilings which can be obtained using the Robinson tiles (this is a two-dimensional subshift of finite type). We prove that it has a unique minimal subshift, and describe it by means of a substitution. This description allows to compute its cohomology groups, and prove that it is a model set."},"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":"1203.1387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-07T06:33:39Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"b48e3b8454f5135e82a0766a34fa161206c7c2f04e5676c5a71033e3af19d52c","abstract_canon_sha256":"50247b4604fa2c639bcab105adb5d354852692c43fc840c8ad8c0860bb2a069d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:38.808817Z","signature_b64":"Chq8bSP6oxj0GfCujN0o4k8GHsVdfTCyvlFgW7puB/BEiKup7NkXF50zH39OjzJWZg4HgjIb41OUYNVqPj/9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35f94d699a28099041472298c5b2c1e2b7fa52ea3dc6f8c231f26fb8cd23e49e","last_reissued_at":"2026-05-18T04:00:38.808371Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:38.808371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combinatorics and topology of the Robinson tiling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.DS","authors_text":"Antoine Julien, Franz G\\\"ahler, Jean Savinien","submitted_at":"2012-03-07T06:33:39Z","abstract_excerpt":"We study the space of all tilings which can be obtained using the Robinson tiles (this is a two-dimensional subshift of finite type). We prove that it has a unique minimal subshift, and describe it by means of a substitution. This description allows to compute its cohomology groups, and prove that it is a model set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1387","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1203.1387","created_at":"2026-05-18T04:00:38.808438+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.1387v1","created_at":"2026-05-18T04:00:38.808438+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1387","created_at":"2026-05-18T04:00:38.808438+00:00"},{"alias_kind":"pith_short_12","alias_value":"GX4U22M2FAEZ","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GX4U22M2FAEZAQKH","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GX4U22M2","created_at":"2026-05-18T12:27:06.952714+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/GX4U22M2FAEZAQKHEKMMLMWB4K","json":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K.json","graph_json":"https://pith.science/api/pith-number/GX4U22M2FAEZAQKHEKMMLMWB4K/graph.json","events_json":"https://pith.science/api/pith-number/GX4U22M2FAEZAQKHEKMMLMWB4K/events.json","paper":"https://pith.science/paper/GX4U22M2"},"agent_actions":{"view_html":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K","download_json":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K.json","view_paper":"https://pith.science/paper/GX4U22M2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.1387&json=true","fetch_graph":"https://pith.science/api/pith-number/GX4U22M2FAEZAQKHEKMMLMWB4K/graph.json","fetch_events":"https://pith.science/api/pith-number/GX4U22M2FAEZAQKHEKMMLMWB4K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K/action/storage_attestation","attest_author":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K/action/author_attestation","sign_citation":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K/action/citation_signature","submit_replication":"https://pith.science/pith/GX4U22M2FAEZAQKHEKMMLMWB4K/action/replication_record"}},"created_at":"2026-05-18T04:00:38.808438+00:00","updated_at":"2026-05-18T04:00:38.808438+00:00"}