{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VUSEOHSJ57EJDS5D36T65A5ZOR","short_pith_number":"pith:VUSEOHSJ","canonical_record":{"source":{"id":"2605.22713","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-21T16:50:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"12b6d23fce79bd6ac3bd8ca1ed6b18a428549676ee5caac32f15043e59063138","abstract_canon_sha256":"a19fe592efa8d9fa1b8299eaaf9f3f1af43639b26749d960cff2583bfa93fe36"},"schema_version":"1.0"},"canonical_sha256":"ad24471e49efc891cba3dfa7ee83b9744da0454a125b4ee7861de733fcf29553","source":{"kind":"arxiv","id":"2605.22713","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22713","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22713v1","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22713","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"pith_short_12","alias_value":"VUSEOHSJ57EJ","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"pith_short_16","alias_value":"VUSEOHSJ57EJDS5D","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"pith_short_8","alias_value":"VUSEOHSJ","created_at":"2026-05-22T02:04:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VUSEOHSJ57EJDS5D36T65A5ZOR","target":"record","payload":{"canonical_record":{"source":{"id":"2605.22713","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-21T16:50:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"12b6d23fce79bd6ac3bd8ca1ed6b18a428549676ee5caac32f15043e59063138","abstract_canon_sha256":"a19fe592efa8d9fa1b8299eaaf9f3f1af43639b26749d960cff2583bfa93fe36"},"schema_version":"1.0"},"canonical_sha256":"ad24471e49efc891cba3dfa7ee83b9744da0454a125b4ee7861de733fcf29553","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T02:04:51.556401Z","signature_b64":"vo0dAg1KhcapzJWXCs3i7ISR/A2yvmIrSDAINGlrFa0Kk40iOgqze9QAb5W0IaFAKhSTTRS8SgAJ0N0S7Id1Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad24471e49efc891cba3dfa7ee83b9744da0454a125b4ee7861de733fcf29553","last_reissued_at":"2026-05-22T02:04:51.555708Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T02:04:51.555708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.22713","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":"2026-05-22T02:04:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnQOSwblaGZwjpyvLx+gnQECEbtiYJ0brrzUyU9wjde6zelUedzlzpPSWBpoW4q2As0puytwRFnUzHp20W1HAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:28:57.777629Z"},"content_sha256":"a591ad6471f8ffb338b529ecad8b03e7febb2c3efc482f770c090966890dcf50","schema_version":"1.0","event_id":"sha256:a591ad6471f8ffb338b529ecad8b03e7febb2c3efc482f770c090966890dcf50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VUSEOHSJ57EJDS5D36T65A5ZOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-testing of exact entanglement embezzlement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OA","authors_text":"Samuel J. Harris","submitted_at":"2026-05-21T16:50:39Z","abstract_excerpt":"We consider bipartite exact entanglement embezzlement with a catalyst state vector $\\psi$ in a Hilbert space $\\mathcal{H}$ using unitaries (or more generally, contractions). If $\\mathcal{M} \\subseteq \\mathcal{B}(\\mathcal{H})$ is a von Neumann algebra and $U \\in M_d \\otimes \\mathcal{M}$ and $V \\in \\mathcal{M}' \\otimes M_d$ are unitaries (or more generally contractions), then such a protocol is of the form $(U \\otimes I_d)(I_d \\otimes V)(e_0 \\otimes \\psi \\otimes e_0)=\\sum_{i=0}^{d-1} \\alpha_i e_i \\otimes \\psi \\otimes e_i$, where each $\\alpha_i>0$ and $\\sum_{i=0}^{d-1} \\alpha_i^2=1$. We show that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22713","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.22713/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-22T02:04:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bn84h+BxhUMviNNeHCaznsMua/q9PcG6FWefoFs9hdAshfm962oFou/4+PJ51moSXA9Na9akZlBdTMlthEsxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:28:57.778010Z"},"content_sha256":"ce549f4cb181b37842b8bcedce2be0a50ec009eefcc6c76220ba74fa517a3c1f","schema_version":"1.0","event_id":"sha256:ce549f4cb181b37842b8bcedce2be0a50ec009eefcc6c76220ba74fa517a3c1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VUSEOHSJ57EJDS5D36T65A5ZOR/bundle.json","state_url":"https://pith.science/pith/VUSEOHSJ57EJDS5D36T65A5ZOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VUSEOHSJ57EJDS5D36T65A5ZOR/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":"2026-06-02T20:28:57Z","links":{"resolver":"https://pith.science/pith/VUSEOHSJ57EJDS5D36T65A5ZOR","bundle":"https://pith.science/pith/VUSEOHSJ57EJDS5D36T65A5ZOR/bundle.json","state":"https://pith.science/pith/VUSEOHSJ57EJDS5D36T65A5ZOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VUSEOHSJ57EJDS5D36T65A5ZOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VUSEOHSJ57EJDS5D36T65A5ZOR","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":"a19fe592efa8d9fa1b8299eaaf9f3f1af43639b26749d960cff2583bfa93fe36","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-21T16:50:39Z","title_canon_sha256":"12b6d23fce79bd6ac3bd8ca1ed6b18a428549676ee5caac32f15043e59063138"},"schema_version":"1.0","source":{"id":"2605.22713","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22713","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22713v1","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22713","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"pith_short_12","alias_value":"VUSEOHSJ57EJ","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"pith_short_16","alias_value":"VUSEOHSJ57EJDS5D","created_at":"2026-05-22T02:04:51Z"},{"alias_kind":"pith_short_8","alias_value":"VUSEOHSJ","created_at":"2026-05-22T02:04:51Z"}],"graph_snapshots":[{"event_id":"sha256:ce549f4cb181b37842b8bcedce2be0a50ec009eefcc6c76220ba74fa517a3c1f","target":"graph","created_at":"2026-05-22T02:04:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.22713/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider bipartite exact entanglement embezzlement with a catalyst state vector $\\psi$ in a Hilbert space $\\mathcal{H}$ using unitaries (or more generally, contractions). If $\\mathcal{M} \\subseteq \\mathcal{B}(\\mathcal{H})$ is a von Neumann algebra and $U \\in M_d \\otimes \\mathcal{M}$ and $V \\in \\mathcal{M}' \\otimes M_d$ are unitaries (or more generally contractions), then such a protocol is of the form $(U \\otimes I_d)(I_d \\otimes V)(e_0 \\otimes \\psi \\otimes e_0)=\\sum_{i=0}^{d-1} \\alpha_i e_i \\otimes \\psi \\otimes e_i$, where each $\\alpha_i>0$ and $\\sum_{i=0}^{d-1} \\alpha_i^2=1$. We show that","authors_text":"Samuel J. Harris","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-21T16:50:39Z","title":"Self-testing of exact entanglement embezzlement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22713","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:a591ad6471f8ffb338b529ecad8b03e7febb2c3efc482f770c090966890dcf50","target":"record","created_at":"2026-05-22T02:04:51Z","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":"a19fe592efa8d9fa1b8299eaaf9f3f1af43639b26749d960cff2583bfa93fe36","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-05-21T16:50:39Z","title_canon_sha256":"12b6d23fce79bd6ac3bd8ca1ed6b18a428549676ee5caac32f15043e59063138"},"schema_version":"1.0","source":{"id":"2605.22713","kind":"arxiv","version":1}},"canonical_sha256":"ad24471e49efc891cba3dfa7ee83b9744da0454a125b4ee7861de733fcf29553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad24471e49efc891cba3dfa7ee83b9744da0454a125b4ee7861de733fcf29553","first_computed_at":"2026-05-22T02:04:51.555708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T02:04:51.555708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vo0dAg1KhcapzJWXCs3i7ISR/A2yvmIrSDAINGlrFa0Kk40iOgqze9QAb5W0IaFAKhSTTRS8SgAJ0N0S7Id1Cg==","signature_status":"signed_v1","signed_at":"2026-05-22T02:04:51.556401Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22713","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a591ad6471f8ffb338b529ecad8b03e7febb2c3efc482f770c090966890dcf50","sha256:ce549f4cb181b37842b8bcedce2be0a50ec009eefcc6c76220ba74fa517a3c1f"],"state_sha256":"53a8dbbdf171e058a1cb8ad9563b7e95104e03c71211188b35fce56d55c96315"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zaBma1qOPZy/xdwBrzw6rrkYdFvAZoBitmaGCd1CcYra1tBWObSYSqSkNG0qEjHQ1YCMfPZshqyAf6k1PKh4BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:28:57.780240Z","bundle_sha256":"08c68a00bbdbc88cb1ef618dc7e81dc00d85e481105f37b7c8f6732f16a3e32a"}}