{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:U77JR7FJGVPRCETKOJWDEAQZP2","short_pith_number":"pith:U77JR7FJ","canonical_record":{"source":{"id":"1107.2720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T03:03:35Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"56e6348248fd4da7a0ab991a985000c39757cf9d310935fea1837c232d2f814c","abstract_canon_sha256":"c7b2490e2bb7b52cc10ba07f8ad7128b34e8c1ccff6d3b4008f56787b4971b0a"},"schema_version":"1.0"},"canonical_sha256":"a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d","source":{"kind":"arxiv","id":"1107.2720","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2720","created_at":"2026-05-18T02:01:18Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2720v1","created_at":"2026-05-18T02:01:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2720","created_at":"2026-05-18T02:01:18Z"},{"alias_kind":"pith_short_12","alias_value":"U77JR7FJGVPR","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U77JR7FJGVPRCETK","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U77JR7FJ","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:U77JR7FJGVPRCETKOJWDEAQZP2","target":"record","payload":{"canonical_record":{"source":{"id":"1107.2720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T03:03:35Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"56e6348248fd4da7a0ab991a985000c39757cf9d310935fea1837c232d2f814c","abstract_canon_sha256":"c7b2490e2bb7b52cc10ba07f8ad7128b34e8c1ccff6d3b4008f56787b4971b0a"},"schema_version":"1.0"},"canonical_sha256":"a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:18.754515Z","signature_b64":"sw1JMrKLaDNCy9U2OD6ZP5eQTzacl72WtOXlCY6rnwyWOQH1/6MFlu/pmywj5/eBOmxWtaqcbgfmUdRhg8UmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d","last_reissued_at":"2026-05-18T02:01:18.753952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:18.753952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.2720","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":"2026-05-18T02:01:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+m9IjoI25dXwO5lbF0ySQ5G87PfA/DJhn4afyBgXrLRMNWzswSrrVNNwlndaIUccz6iFJQneGJKCVflhwb5KBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:54:08.729624Z"},"content_sha256":"2ce42355f521a689c9f14a7a7aaa7a64d521919439863ae76ae8e29e3eedaf00","schema_version":"1.0","event_id":"sha256:2ce42355f521a689c9f14a7a7aaa7a64d521919439863ae76ae8e29e3eedaf00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:U77JR7FJGVPRCETKOJWDEAQZP2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Kil-Chan Ha, Seung-Hyeok Kye","submitted_at":"2011-07-14T03:03:35Z","abstract_excerpt":"In the recent paper [Chru\\'{s}ci\\'{n}ski and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show that this conjecture is true. Furthermore, we show that they provide a one parameter family of indecomposable optimal entanglement witnesses."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2720","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":"2026-05-18T02:01:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S0LGO78PlAJgDW1rIF3jd7C/FiWjvc3ceJVYdcFvuw+CxXrmpCs3M4puvUY5NT8sNwM1DEkqLN76AXDAdwifBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:54:08.730273Z"},"content_sha256":"5e7d26d44ad64547d9225a90a32b540bb4e8a0835491c23314c0099ed997bcec","schema_version":"1.0","event_id":"sha256:5e7d26d44ad64547d9225a90a32b540bb4e8a0835491c23314c0099ed997bcec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U77JR7FJGVPRCETKOJWDEAQZP2/bundle.json","state_url":"https://pith.science/pith/U77JR7FJGVPRCETKOJWDEAQZP2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U77JR7FJGVPRCETKOJWDEAQZP2/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":"2026-05-25T19:54:08Z","links":{"resolver":"https://pith.science/pith/U77JR7FJGVPRCETKOJWDEAQZP2","bundle":"https://pith.science/pith/U77JR7FJGVPRCETKOJWDEAQZP2/bundle.json","state":"https://pith.science/pith/U77JR7FJGVPRCETKOJWDEAQZP2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U77JR7FJGVPRCETKOJWDEAQZP2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:U77JR7FJGVPRCETKOJWDEAQZP2","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":"c7b2490e2bb7b52cc10ba07f8ad7128b34e8c1ccff6d3b4008f56787b4971b0a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T03:03:35Z","title_canon_sha256":"56e6348248fd4da7a0ab991a985000c39757cf9d310935fea1837c232d2f814c"},"schema_version":"1.0","source":{"id":"1107.2720","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2720","created_at":"2026-05-18T02:01:18Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2720v1","created_at":"2026-05-18T02:01:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2720","created_at":"2026-05-18T02:01:18Z"},{"alias_kind":"pith_short_12","alias_value":"U77JR7FJGVPR","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U77JR7FJGVPRCETK","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U77JR7FJ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:5e7d26d44ad64547d9225a90a32b540bb4e8a0835491c23314c0099ed997bcec","target":"graph","created_at":"2026-05-18T02:01:18Z","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":"In the recent paper [Chru\\'{s}ci\\'{n}ski and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show that this conjecture is true. Furthermore, we show that they provide a one parameter family of indecomposable optimal entanglement witnesses.","authors_text":"Kil-Chan Ha, Seung-Hyeok Kye","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T03:03:35Z","title":"One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2720","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":"sha256:2ce42355f521a689c9f14a7a7aaa7a64d521919439863ae76ae8e29e3eedaf00","target":"record","created_at":"2026-05-18T02:01:18Z","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":"c7b2490e2bb7b52cc10ba07f8ad7128b34e8c1ccff6d3b4008f56787b4971b0a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T03:03:35Z","title_canon_sha256":"56e6348248fd4da7a0ab991a985000c39757cf9d310935fea1837c232d2f814c"},"schema_version":"1.0","source":{"id":"1107.2720","kind":"arxiv","version":1}},"canonical_sha256":"a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d","first_computed_at":"2026-05-18T02:01:18.753952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:18.753952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sw1JMrKLaDNCy9U2OD6ZP5eQTzacl72WtOXlCY6rnwyWOQH1/6MFlu/pmywj5/eBOmxWtaqcbgfmUdRhg8UmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:18.754515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2720","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ce42355f521a689c9f14a7a7aaa7a64d521919439863ae76ae8e29e3eedaf00","sha256:5e7d26d44ad64547d9225a90a32b540bb4e8a0835491c23314c0099ed997bcec"],"state_sha256":"220c8f669f7447d556c36da0ee8212534f8145dcdd6a38b5966dd08497209223"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N/yGanJmonCLYywCh9veLPfFBE4ao1DytvlRRjSL4MYfEj73X3/JMYpwGDS0G7/ALBFeIOEO/KJ4CP5I3rzDBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:54:08.733725Z","bundle_sha256":"4746135f75d61014fd2885d2f4be927d1a943512a1a2b0e38a36cba6f6e6ae7d"}}