{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PPD22QJLHV4QMPDSXKJ4F3AV6Y","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":"fa0a635205ae2219841eeac36cbd65df9940cc11f87619ba0cc5ca0d480056fd","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-02T09:04:16Z","title_canon_sha256":"4f27fa4bde78c9b0e137391e51ee9a938f75eb644cf8f79031ec8bcd83848b4d"},"schema_version":"1.0","source":{"id":"1803.00763","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00763","created_at":"2026-05-18T00:16:55Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00763v2","created_at":"2026-05-18T00:16:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00763","created_at":"2026-05-18T00:16:55Z"},{"alias_kind":"pith_short_12","alias_value":"PPD22QJLHV4Q","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PPD22QJLHV4QMPDS","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PPD22QJL","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:bb0ddcaea5edf765ea17292cfde06c8d50af5a4b75c29110c90c062b53fcfc8d","target":"graph","created_at":"2026-05-18T00:16:55Z","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":"Let $H$ and $H'$ be a complex Hilbert spaces. For $p\\in(1, \\infty)\\backslash\\{2\\}$ we consider the Banach space $C_p(H)$ of all $p$-Schatten von Neumann operators, whose unit sphere is denoted by $S(C_p(H))$. We prove that every surjective isometry $\\Delta: S(C_p(H))\\to S(C_p(H'))$ can be extended to a complex linear or to a conjugate linear surjective isometry $T:C_p(H)\\to C_p(H')$.","authors_text":"Antonio M. Peralta, Enrique Jord\\'a, Francisco J. Fern\\'andez-Polo","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-02T09:04:16Z","title":"Tingley's problem for $p$-Schatten von Neumann classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00763","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":"sha256:2c1fcc7bb25e36de5a1a81d3f64a963a55db119b4a93df198fb0d19c8c0bd3ef","target":"record","created_at":"2026-05-18T00:16:55Z","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":"fa0a635205ae2219841eeac36cbd65df9940cc11f87619ba0cc5ca0d480056fd","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-02T09:04:16Z","title_canon_sha256":"4f27fa4bde78c9b0e137391e51ee9a938f75eb644cf8f79031ec8bcd83848b4d"},"schema_version":"1.0","source":{"id":"1803.00763","kind":"arxiv","version":2}},"canonical_sha256":"7bc7ad412b3d79063c72ba93c2ec15f616f918e61fd859b03dbc5fe99d3c7e67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bc7ad412b3d79063c72ba93c2ec15f616f918e61fd859b03dbc5fe99d3c7e67","first_computed_at":"2026-05-18T00:16:55.557446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:55.557446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uETZMv59ianbNAevyVB2XZde/14xSXfRyb6gkZWXngbTuwCl6iIMZG0pYVDKryw3nVmX812ZCnxAXxlSmQWODw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:55.558120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00763","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c1fcc7bb25e36de5a1a81d3f64a963a55db119b4a93df198fb0d19c8c0bd3ef","sha256:bb0ddcaea5edf765ea17292cfde06c8d50af5a4b75c29110c90c062b53fcfc8d"],"state_sha256":"fb20a357bd3898835fd890f78859927defe374238945a47a22b1f5539d2c5942"}