{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:EEPXDIWM24NPEAOW2UUBQUTOYJ","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":"28eed2c27a5693d752ac586486f131fe7ddae152853671c56bec87903d0006ef","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2005-01-21T19:19:12Z","title_canon_sha256":"c68ad6f33c23a4426b6be0aa86320ed237a2531e2cd1828ce37d54547a416388"},"schema_version":"1.0","source":{"id":"math/0501354","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0501354","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0501354v3","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0501354","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"EEPXDIWM24NP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EEPXDIWM24NPEAOW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EEPXDIWM","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:cb1dd9d7c8c7fcd528205224346f16e6757199a677fe67ec5855915a7b003bae","target":"graph","created_at":"2026-05-18T02:41:32Z","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 give a necessary and sufficient condition for the addition of a collection of disjoint bypasses to a convex surface to be universally tight -- namely the nonexistence of a polygonal region which we call a virtual pinwheel.","authors_text":"Gordana Matic, Ko Honda, William H. Kazez","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2005-01-21T19:19:12Z","title":"Pinwheels and bypasses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0501354","kind":"arxiv","version":3},"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":"sha256:08b969c317479417f79a6728f40e4eea6525a1ca6b2513ba09dddb82796f1cff","target":"record","created_at":"2026-05-18T02:41:32Z","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":"28eed2c27a5693d752ac586486f131fe7ddae152853671c56bec87903d0006ef","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2005-01-21T19:19:12Z","title_canon_sha256":"c68ad6f33c23a4426b6be0aa86320ed237a2531e2cd1828ce37d54547a416388"},"schema_version":"1.0","source":{"id":"math/0501354","kind":"arxiv","version":3}},"canonical_sha256":"211f71a2ccd71af201d6d52818526ec26526f55d37259d85c601e92e0c1715bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"211f71a2ccd71af201d6d52818526ec26526f55d37259d85c601e92e0c1715bd","first_computed_at":"2026-05-18T02:41:32.113112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:32.113112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tdgj0ifKU4mhWgt6uJWx5eOp5fj5xsgrbM9HptuHBQWIkEebItc8KKhQA802VjYOExItDFYCILszMIJDpWmXCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:32.113483Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0501354","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08b969c317479417f79a6728f40e4eea6525a1ca6b2513ba09dddb82796f1cff","sha256:cb1dd9d7c8c7fcd528205224346f16e6757199a677fe67ec5855915a7b003bae"],"state_sha256":"192c9f43bfe912e99316c3ee23aab47e75024cd6c746bdb3ce45c196b6005a0e"}