{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:T2ZKFV3ATCS3YKUAWY4PX3F6WC","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":"2831303067d006b54ff7db6f6894672e3dedb333eecc7a62293349215a97e0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-03-26T10:12:40Z","title_canon_sha256":"6962b8dce1807d697f83eb23e48cfc0e34e41d3c1636501f5c55eff12230f12e"},"schema_version":"1.0","source":{"id":"1103.5119","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5119","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5119v1","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5119","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"T2ZKFV3ATCS3","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"T2ZKFV3ATCS3YKUA","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"T2ZKFV3A","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:03ea186ef19890642b7e5d6f2a7a180963dcb373998a628cda20434cce1c570e","target":"graph","created_at":"2026-05-18T04:25:38Z","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 paper introduces a communication system for the tiles of the heptagrid, a tiling of the hyperbolic plane. The method can be extended to other tilings of this plane. The paper focuses on an actual implementation at the programming stage with a short account of two experiments.","authors_text":"Maurice Margenstern","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-03-26T10:12:40Z","title":"A protocol for a message system for the tiles of the heptagrid, in the hyperbolic plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5119","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":"sha256:76fba470c31dd6bbb17c076c2ba9fb65c1b432e1c9a190c49531984c7fab6753","target":"record","created_at":"2026-05-18T04:25:38Z","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":"2831303067d006b54ff7db6f6894672e3dedb333eecc7a62293349215a97e0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-03-26T10:12:40Z","title_canon_sha256":"6962b8dce1807d697f83eb23e48cfc0e34e41d3c1636501f5c55eff12230f12e"},"schema_version":"1.0","source":{"id":"1103.5119","kind":"arxiv","version":1}},"canonical_sha256":"9eb2a2d76098a5bc2a80b638fbecbeb09e5283a8ae606ef170aafdeaa957874b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9eb2a2d76098a5bc2a80b638fbecbeb09e5283a8ae606ef170aafdeaa957874b","first_computed_at":"2026-05-18T04:25:38.601255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:38.601255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C7hzMedATZfZfT3X7ZpYevCC7KoCRmXs6NYxaObZJzUeRSlCh7z1mHlRHYLYXOyOc1yz0tXnYiABbANp9ZF/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:38.601702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5119","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76fba470c31dd6bbb17c076c2ba9fb65c1b432e1c9a190c49531984c7fab6753","sha256:03ea186ef19890642b7e5d6f2a7a180963dcb373998a628cda20434cce1c570e"],"state_sha256":"ddbf7655c94b7d64665d0f328f7d437bf632abf493ff57c0865853853dff183f"}