{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TIGSPS3QFQPPBRBUXKAWJ3HWVS","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":"37deebad48c6974fe7005d940c87bd30d5c958ccd45f4636820d45d9969bd486","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-09-28T18:58:40Z","title_canon_sha256":"397434b8fdd3e3a7c848d1e08f810fe38f9d6097181c4120d5dbdaaebca8d0b3"},"schema_version":"1.0","source":{"id":"1309.7491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7491","created_at":"2026-05-18T03:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7491v1","created_at":"2026-05-18T03:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7491","created_at":"2026-05-18T03:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"TIGSPS3QFQPP","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TIGSPS3QFQPPBRBU","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TIGSPS3Q","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:4c2a99f7255837b71e45dc2618905c8ba99162cf878b5f0f96650c7aed639862","target":"graph","created_at":"2026-05-18T03:11:58Z","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 present short proofs of Toru\\'nczyk's well-known characterization theorems of the Hilbert cube and Hilbert space, respectively.","authors_text":"Jan J. Dijkstra, Jan van Mill, Michael Levin","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-09-28T18:58:40Z","title":"A short proof of Toru\\'nczyk's Characterization Theorems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7491","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":"sha256:82cab5349e7d4601b320aae0471b3235e944008ee40885dd6b95b1740cda71b8","target":"record","created_at":"2026-05-18T03:11:58Z","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":"37deebad48c6974fe7005d940c87bd30d5c958ccd45f4636820d45d9969bd486","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-09-28T18:58:40Z","title_canon_sha256":"397434b8fdd3e3a7c848d1e08f810fe38f9d6097181c4120d5dbdaaebca8d0b3"},"schema_version":"1.0","source":{"id":"1309.7491","kind":"arxiv","version":1}},"canonical_sha256":"9a0d27cb702c1ef0c434ba8164ecf6acbaf995838fdd5e781ee30fb3a21d8f42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a0d27cb702c1ef0c434ba8164ecf6acbaf995838fdd5e781ee30fb3a21d8f42","first_computed_at":"2026-05-18T03:11:58.544200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:58.544200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1yLaOWoHQb3ZglkHwluTtb0ddtHKFXDmI3zJtfkp96Fu/mgiaaEOQwJiETV0Uw1u4a84duEnRKlPUzPXkvhNCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:58.544823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82cab5349e7d4601b320aae0471b3235e944008ee40885dd6b95b1740cda71b8","sha256:4c2a99f7255837b71e45dc2618905c8ba99162cf878b5f0f96650c7aed639862"],"state_sha256":"1dee6701e60827de84c7c3164d4ce9488277ce88e75c39d5319de7b080611832"}