{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FTYROTH5QUNLTKBBOL3LS6KTAU","short_pith_number":"pith:FTYROTH5","canonical_record":{"source":{"id":"1604.05717","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-04-19T10:54:58Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"78905febf4b3dfedba592db3e05a5dde754ab1bca25d6657d13edacec75719bf","abstract_canon_sha256":"8e50a41a79409d5f9a25ec27303a0422bdb164638631d526262adc2da13ed1f2"},"schema_version":"1.0"},"canonical_sha256":"2cf1174cfd851ab9a82172f6b97953051ed88290b6b80803c968836deab5fcf7","source":{"kind":"arxiv","id":"1604.05717","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05717","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05717v1","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05717","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"pith_short_12","alias_value":"FTYROTH5QUNL","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FTYROTH5QUNLTKBB","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FTYROTH5","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FTYROTH5QUNLTKBBOL3LS6KTAU","target":"record","payload":{"canonical_record":{"source":{"id":"1604.05717","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-04-19T10:54:58Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"78905febf4b3dfedba592db3e05a5dde754ab1bca25d6657d13edacec75719bf","abstract_canon_sha256":"8e50a41a79409d5f9a25ec27303a0422bdb164638631d526262adc2da13ed1f2"},"schema_version":"1.0"},"canonical_sha256":"2cf1174cfd851ab9a82172f6b97953051ed88290b6b80803c968836deab5fcf7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:37.356028Z","signature_b64":"hmlDATNLcTJx+yJ5U5XqCJvSGsacx4bCi5wizmKf0Frxym/zIUc9q+D3vjn/vYS22o9LQeDqezCP/2Ra31jxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cf1174cfd851ab9a82172f6b97953051ed88290b6b80803c968836deab5fcf7","last_reissued_at":"2026-05-18T01:16:37.355237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:37.355237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.05717","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWdcaaX/QqwSl4f5v/hCAB+EmFYrlRXnFKjMfqmHqYFnkHmZsv3A0QPFGABGHFXkQMcGm6AtCqvXhtUrNhLEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:49:03.813861Z"},"content_sha256":"3b63bc70105bf45ac5309c86e92ef7662183742526e2127d769c0d9ae0862f29","schema_version":"1.0","event_id":"sha256:3b63bc70105bf45ac5309c86e92ef7662183742526e2127d769c0d9ae0862f29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FTYROTH5QUNLTKBBOL3LS6KTAU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Positive maps which are bijective on the set of rank projections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OA","authors_text":"Erling St{\\o}rmer","submitted_at":"2016-04-19T10:54:58Z","abstract_excerpt":"Extending Wigner's theorem we give a characterization of positive maps of $B(H)$ into itself which map the set of rank k projections onto itself."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05717","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lSUSo6msKHOTti94cMV8hhuIslobrQr3tuoQBMdMBjTFIUIxahBTcUeNsdJ7m1QWgOO+7JdqHVdSIFDkUPVhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:49:03.814209Z"},"content_sha256":"99166b978246775b8f63978b652f0886eb773345c553837c24adaf721ee1b6b1","schema_version":"1.0","event_id":"sha256:99166b978246775b8f63978b652f0886eb773345c553837c24adaf721ee1b6b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTYROTH5QUNLTKBBOL3LS6KTAU/bundle.json","state_url":"https://pith.science/pith/FTYROTH5QUNLTKBBOL3LS6KTAU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTYROTH5QUNLTKBBOL3LS6KTAU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T07:49:03Z","links":{"resolver":"https://pith.science/pith/FTYROTH5QUNLTKBBOL3LS6KTAU","bundle":"https://pith.science/pith/FTYROTH5QUNLTKBBOL3LS6KTAU/bundle.json","state":"https://pith.science/pith/FTYROTH5QUNLTKBBOL3LS6KTAU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTYROTH5QUNLTKBBOL3LS6KTAU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FTYROTH5QUNLTKBBOL3LS6KTAU","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":"8e50a41a79409d5f9a25ec27303a0422bdb164638631d526262adc2da13ed1f2","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-04-19T10:54:58Z","title_canon_sha256":"78905febf4b3dfedba592db3e05a5dde754ab1bca25d6657d13edacec75719bf"},"schema_version":"1.0","source":{"id":"1604.05717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05717","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05717v1","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05717","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"pith_short_12","alias_value":"FTYROTH5QUNL","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FTYROTH5QUNLTKBB","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FTYROTH5","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:99166b978246775b8f63978b652f0886eb773345c553837c24adaf721ee1b6b1","target":"graph","created_at":"2026-05-18T01:16:37Z","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":"Extending Wigner's theorem we give a characterization of positive maps of $B(H)$ into itself which map the set of rank k projections onto itself.","authors_text":"Erling St{\\o}rmer","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-04-19T10:54:58Z","title":"Positive maps which are bijective on the set of rank projections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05717","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":"sha256:3b63bc70105bf45ac5309c86e92ef7662183742526e2127d769c0d9ae0862f29","target":"record","created_at":"2026-05-18T01:16:37Z","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":"8e50a41a79409d5f9a25ec27303a0422bdb164638631d526262adc2da13ed1f2","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-04-19T10:54:58Z","title_canon_sha256":"78905febf4b3dfedba592db3e05a5dde754ab1bca25d6657d13edacec75719bf"},"schema_version":"1.0","source":{"id":"1604.05717","kind":"arxiv","version":1}},"canonical_sha256":"2cf1174cfd851ab9a82172f6b97953051ed88290b6b80803c968836deab5fcf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cf1174cfd851ab9a82172f6b97953051ed88290b6b80803c968836deab5fcf7","first_computed_at":"2026-05-18T01:16:37.355237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:37.355237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hmlDATNLcTJx+yJ5U5XqCJvSGsacx4bCi5wizmKf0Frxym/zIUc9q+D3vjn/vYS22o9LQeDqezCP/2Ra31jxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:37.356028Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b63bc70105bf45ac5309c86e92ef7662183742526e2127d769c0d9ae0862f29","sha256:99166b978246775b8f63978b652f0886eb773345c553837c24adaf721ee1b6b1"],"state_sha256":"fee12a072f3f7ea44b1f8284f20c30ce1b43a76718d49e860db747fdac8d8490"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52ecGT9+fFg2bpR3MCo7olnorMOb20CM3e3nAS/gZPPhLTtMwzbzQIfmjk6vowWSLlH27mPIfjfCEFQGQd6pCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T07:49:03.816194Z","bundle_sha256":"4bacb821c959e4bcbbc090bc643b97b1fa70838d311101c47e300563793c143e"}}