{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JJFZKPIPKDR2KLDCTWLXUX4O7I","short_pith_number":"pith:JJFZKPIP","schema_version":"1.0","canonical_sha256":"4a4b953d0f50e3a52c629d977a5f8efa2e3034a727362a98ce87832df9dab680","source":{"kind":"arxiv","id":"1811.02075","version":1},"attestation_state":"computed","paper":{"title":"Properties of Convex Pentagonal Tiles for Periodic Tiling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Teruhisa Sugimoto","submitted_at":"2018-11-05T23:02:31Z","abstract_excerpt":"A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum of three internal angles of the pentagon is equal to 360{\\deg}."},"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":"1811.02075","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-11-05T23:02:31Z","cross_cats_sorted":[],"title_canon_sha256":"97bf48ead51813ab529d495b38df8a922b7b72fd18698a9d71109eb4272f70d0","abstract_canon_sha256":"cffd119e86a29ff0376dde26ea2ab921d01396b63f58dc6f7aff4929b542e1b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:25.104449Z","signature_b64":"axpzn66iWcMbZ2N07ldLnJUr9dTrHa15Q3V3OGgbwoWbR7tgMB0WDwuOW313WnfEKJ/VlgBjKJIqL48HOrKICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a4b953d0f50e3a52c629d977a5f8efa2e3034a727362a98ce87832df9dab680","last_reissued_at":"2026-05-18T00:01:25.104075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:25.104075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Properties of Convex Pentagonal Tiles for Periodic Tiling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Teruhisa Sugimoto","submitted_at":"2018-11-05T23:02:31Z","abstract_excerpt":"A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum of three internal angles of the pentagon is equal to 360{\\deg}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02075","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":"1811.02075","created_at":"2026-05-18T00:01:25.104138+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.02075v1","created_at":"2026-05-18T00:01:25.104138+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02075","created_at":"2026-05-18T00:01:25.104138+00:00"},{"alias_kind":"pith_short_12","alias_value":"JJFZKPIPKDR2","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"JJFZKPIPKDR2KLDC","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"JJFZKPIP","created_at":"2026-05-18T12:32:31.084164+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/JJFZKPIPKDR2KLDCTWLXUX4O7I","json":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I.json","graph_json":"https://pith.science/api/pith-number/JJFZKPIPKDR2KLDCTWLXUX4O7I/graph.json","events_json":"https://pith.science/api/pith-number/JJFZKPIPKDR2KLDCTWLXUX4O7I/events.json","paper":"https://pith.science/paper/JJFZKPIP"},"agent_actions":{"view_html":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I","download_json":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I.json","view_paper":"https://pith.science/paper/JJFZKPIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.02075&json=true","fetch_graph":"https://pith.science/api/pith-number/JJFZKPIPKDR2KLDCTWLXUX4O7I/graph.json","fetch_events":"https://pith.science/api/pith-number/JJFZKPIPKDR2KLDCTWLXUX4O7I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I/action/storage_attestation","attest_author":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I/action/author_attestation","sign_citation":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I/action/citation_signature","submit_replication":"https://pith.science/pith/JJFZKPIPKDR2KLDCTWLXUX4O7I/action/replication_record"}},"created_at":"2026-05-18T00:01:25.104138+00:00","updated_at":"2026-05-18T00:01:25.104138+00:00"}