{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QKTBHRBBL63FUEXAFS7ZNBQEEN","short_pith_number":"pith:QKTBHRBB","canonical_record":{"source":{"id":"1607.06138","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-07-20T22:24:10Z","cross_cats_sorted":["cs.GR"],"title_canon_sha256":"41e762aa792017535a76da1993a1c42f15bdbc22763c4034ae81aa99204ac1c3","abstract_canon_sha256":"eadb4d5d930314d9e5794b612e5f44ee2915ea2cd4b705507a167afca7384873"},"schema_version":"1.0"},"canonical_sha256":"82a613c4215fb65a12e02cbf96860423571235a8d16c9c22643e107a4ba69d7c","source":{"kind":"arxiv","id":"1607.06138","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06138","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06138v2","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06138","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"QKTBHRBBL63F","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QKTBHRBBL63FUEXA","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QKTBHRBB","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QKTBHRBBL63FUEXAFS7ZNBQEEN","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06138","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-07-20T22:24:10Z","cross_cats_sorted":["cs.GR"],"title_canon_sha256":"41e762aa792017535a76da1993a1c42f15bdbc22763c4034ae81aa99204ac1c3","abstract_canon_sha256":"eadb4d5d930314d9e5794b612e5f44ee2915ea2cd4b705507a167afca7384873"},"schema_version":"1.0"},"canonical_sha256":"82a613c4215fb65a12e02cbf96860423571235a8d16c9c22643e107a4ba69d7c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:15.204134Z","signature_b64":"3oJJ7v9yLql9yw0l+gB5ZWUDydDU52278KjQ56YXo+mQUF19bwbA5Iu75/PoAbyHFnyhYCfLq8ISXLb0nnEGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82a613c4215fb65a12e02cbf96860423571235a8d16c9c22643e107a4ba69d7c","last_reissued_at":"2026-05-17T23:58:15.203509Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:15.203509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06138","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":"2026-05-17T23:58:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFhB4U4j56JNS/KExTqif73ujVGQta3TySsmcl52wnVFzng/Mj5EpvJuclaly5Hg3RzyyylQIVSZzvlOyZbJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T01:48:13.697605Z"},"content_sha256":"e12b34c6e4077abc9ce65ec67958542428dd974842ea20d9ab375f79e73e90f1","schema_version":"1.0","event_id":"sha256:e12b34c6e4077abc9ce65ec67958542428dd974842ea20d9ab375f79e73e90f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QKTBHRBBL63FUEXAFS7ZNBQEEN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dappled tiling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GR"],"primary_cat":"cs.DM","authors_text":"Alexandre Derouet-Jourdan, Hiroyuki Ochiai, Shizuo Kaji","submitted_at":"2016-07-20T22:24:10Z","abstract_excerpt":"We consider a certain tiling problem of a planar region in which there are no long horizontal or vertical strips consisting of copies of the same tile. Intuitively speaking, we would like to create a dappled pattern with two or more kinds of tiles. We give an efficient algorithm to turn any tiling into one satisfying the condition, and discuss its applications in texturing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06138","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":"2026-05-17T23:58:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NZFtpJT6zXkryS/xZq41e3k1WYiV9BAAsJBf3YtA5qH5ad9FFkJZtRaG/d49sG9hL+ZcB9r8DExzFmvGUI6jBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T01:48:13.697956Z"},"content_sha256":"bf36626d879a39574b5a0c99234cc92217d0d46715a8a544061bdfbbcf0c397d","schema_version":"1.0","event_id":"sha256:bf36626d879a39574b5a0c99234cc92217d0d46715a8a544061bdfbbcf0c397d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN/bundle.json","state_url":"https://pith.science/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN/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":"2026-06-22T01:48:13Z","links":{"resolver":"https://pith.science/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN","bundle":"https://pith.science/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN/bundle.json","state":"https://pith.science/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QKTBHRBBL63FUEXAFS7ZNBQEEN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QKTBHRBBL63FUEXAFS7ZNBQEEN","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":"eadb4d5d930314d9e5794b612e5f44ee2915ea2cd4b705507a167afca7384873","cross_cats_sorted":["cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-07-20T22:24:10Z","title_canon_sha256":"41e762aa792017535a76da1993a1c42f15bdbc22763c4034ae81aa99204ac1c3"},"schema_version":"1.0","source":{"id":"1607.06138","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06138","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06138v2","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06138","created_at":"2026-05-17T23:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"QKTBHRBBL63F","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QKTBHRBBL63FUEXA","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QKTBHRBB","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:bf36626d879a39574b5a0c99234cc92217d0d46715a8a544061bdfbbcf0c397d","target":"graph","created_at":"2026-05-17T23:58:15Z","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 consider a certain tiling problem of a planar region in which there are no long horizontal or vertical strips consisting of copies of the same tile. Intuitively speaking, we would like to create a dappled pattern with two or more kinds of tiles. We give an efficient algorithm to turn any tiling into one satisfying the condition, and discuss its applications in texturing.","authors_text":"Alexandre Derouet-Jourdan, Hiroyuki Ochiai, Shizuo Kaji","cross_cats":["cs.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-07-20T22:24:10Z","title":"Dappled tiling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06138","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:e12b34c6e4077abc9ce65ec67958542428dd974842ea20d9ab375f79e73e90f1","target":"record","created_at":"2026-05-17T23:58:15Z","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":"eadb4d5d930314d9e5794b612e5f44ee2915ea2cd4b705507a167afca7384873","cross_cats_sorted":["cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-07-20T22:24:10Z","title_canon_sha256":"41e762aa792017535a76da1993a1c42f15bdbc22763c4034ae81aa99204ac1c3"},"schema_version":"1.0","source":{"id":"1607.06138","kind":"arxiv","version":2}},"canonical_sha256":"82a613c4215fb65a12e02cbf96860423571235a8d16c9c22643e107a4ba69d7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82a613c4215fb65a12e02cbf96860423571235a8d16c9c22643e107a4ba69d7c","first_computed_at":"2026-05-17T23:58:15.203509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:15.203509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3oJJ7v9yLql9yw0l+gB5ZWUDydDU52278KjQ56YXo+mQUF19bwbA5Iu75/PoAbyHFnyhYCfLq8ISXLb0nnEGDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:15.204134Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06138","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e12b34c6e4077abc9ce65ec67958542428dd974842ea20d9ab375f79e73e90f1","sha256:bf36626d879a39574b5a0c99234cc92217d0d46715a8a544061bdfbbcf0c397d"],"state_sha256":"1d615914e4a26577ad1c4d415028ffdab11ea4a8f91e6536f44171680da11764"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3Ubb9ptej4TaJhZwo4At1uXiuY4Y6/sgCYJ1t6qr7jBjppb0sdbyZUMRNLT0FkWzdBMG+Q3gwO/gWbjPL+PBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T01:48:13.700043Z","bundle_sha256":"93ba8696ede56235e6440bfeb614b143c053ad9be22fc62767ee8492454ba4d9"}}