{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NC6IBRL362PHTJ2D3XRTB3FF2Y","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":"dd6bcb5ab69778f51ed3361460cf17dfabd77f70592cad93f90293c213df8da7","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-23T11:50:46Z","title_canon_sha256":"fbd827c29b7e4bc9c865bbcd408b5938a2d7c5e5613a070729db410cd4082c37"},"schema_version":"1.0","source":{"id":"1702.07182","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07182","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07182v2","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07182","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"NC6IBRL362PH","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NC6IBRL362PHTJ2D","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NC6IBRL3","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:e4f1b5fcc385486275cbc3a0da68b3c88ef602554fb653c4a1d7f1751a0346ce","target":"graph","created_at":"2026-05-18T00:46:46Z","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 prove that every surjective isometry between the unit spheres of two trace class spaces admits a unique extension to a surjective complex linear or conjugate linear isometry between the spaces. This provides a positive solution to Tingley's problem in a new class of operator algebras.","authors_text":"Antonio M. Peralta, Francisco J. Fern\\'andez-Polo, Ignacio Villanueva, Jorge J. Garc\\'es","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-23T11:50:46Z","title":"Tingley's problem for spaces of trace class operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07182","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:c2b1371aa5004a3c52755c69cb53564d6beda64c48f948c5fca46ec2817628da","target":"record","created_at":"2026-05-18T00:46:46Z","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":"dd6bcb5ab69778f51ed3361460cf17dfabd77f70592cad93f90293c213df8da7","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-23T11:50:46Z","title_canon_sha256":"fbd827c29b7e4bc9c865bbcd408b5938a2d7c5e5613a070729db410cd4082c37"},"schema_version":"1.0","source":{"id":"1702.07182","kind":"arxiv","version":2}},"canonical_sha256":"68bc80c57bf69e79a743dde330eca5d60191e6ddd9289c19fd831a6790576fbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68bc80c57bf69e79a743dde330eca5d60191e6ddd9289c19fd831a6790576fbe","first_computed_at":"2026-05-18T00:46:46.284062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:46.284062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F3pJRzZs7F/KdKAF8+xon8LbKlHVryzeg79AXRSGlsEq64wMztZlmxcg3gos0eBVtZPt+ZK18c1UQZkDciOvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:46.284797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07182","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2b1371aa5004a3c52755c69cb53564d6beda64c48f948c5fca46ec2817628da","sha256:e4f1b5fcc385486275cbc3a0da68b3c88ef602554fb653c4a1d7f1751a0346ce"],"state_sha256":"ffea9554b9deb5d34ffb458f0557c8f42fc502386ff4ad12be87968f16f68702"}