{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UHXBEVXUNPEHH3LQP5M2KYD27U","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":"9a8326e5052b503b09a683a7aacfa32293b07beb75642cd654e97bfd7bdd5787","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-12-28T19:03:14Z","title_canon_sha256":"70ae0b4406b7940b5200524672d1d7b9679ec458cdc06ca67dda709a042274f7"},"schema_version":"1.0","source":{"id":"1112.6167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6167","created_at":"2026-05-18T04:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6167v1","created_at":"2026-05-18T04:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6167","created_at":"2026-05-18T04:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"UHXBEVXUNPEH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UHXBEVXUNPEHH3LQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UHXBEVXU","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:92f8bf5e393438d5351ce9c553cc0b31091d4504d3394018093c9d8bda4b3f9f","target":"graph","created_at":"2026-05-18T04:05:36Z","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 show that there exist bodies with mirror surface invisible from a point in the framework of geometrical optics. In particular, we provide an example of a connected three-dimensional body invisible from one point.","authors_text":"Alexander Plakhov, Vera Roshchina","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-12-28T19:03:14Z","title":"Bodies invisible from one point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6167","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":"sha256:89986555ec4116fd3512aca6647707b9df77efa0b7ee25a22f0df25985af0ae1","target":"record","created_at":"2026-05-18T04:05:36Z","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":"9a8326e5052b503b09a683a7aacfa32293b07beb75642cd654e97bfd7bdd5787","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-12-28T19:03:14Z","title_canon_sha256":"70ae0b4406b7940b5200524672d1d7b9679ec458cdc06ca67dda709a042274f7"},"schema_version":"1.0","source":{"id":"1112.6167","kind":"arxiv","version":1}},"canonical_sha256":"a1ee1256f46bc873ed707f59a5607afd3f6a3f6a8025fce5e406e0d1ab500deb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1ee1256f46bc873ed707f59a5607afd3f6a3f6a8025fce5e406e0d1ab500deb","first_computed_at":"2026-05-18T04:05:36.602329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:36.602329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mLKvt0zRON2+JCSdC++8ROYYQLkV/Vy3RAOJY2GBeQbIGY42iKItePTXsR3YrjLEl6/u2zP6OXEG+N4tYAyWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:36.602853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89986555ec4116fd3512aca6647707b9df77efa0b7ee25a22f0df25985af0ae1","sha256:92f8bf5e393438d5351ce9c553cc0b31091d4504d3394018093c9d8bda4b3f9f"],"state_sha256":"1e71e7e20d390a0b7b80412bd6fa49cb9ceeb9cbddad976129f7362879365306"}