{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:FDUWIN4MKPBD7REMT774LEBVDS","short_pith_number":"pith:FDUWIN4M","canonical_record":{"source":{"id":"2606.27994","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T11:43:45Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"fe2b4d9f550033fc7abdc8cc419bd8e68f893e15d9ad6760ad6e654bf8265a27","abstract_canon_sha256":"863e36654d83c183de88db4b23db77a6d11809158af655db016df6a8480c0578"},"schema_version":"1.0"},"canonical_sha256":"28e964378c53c23fc48c9fffc590351c871c1e0ff80c53c11b5855d88ccd7003","source":{"kind":"arxiv","id":"2606.27994","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27994","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27994v1","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27994","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"FDUWIN4MKPBD","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"pith_short_16","alias_value":"FDUWIN4MKPBD7REM","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"pith_short_8","alias_value":"FDUWIN4M","created_at":"2026-06-29T01:14:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:FDUWIN4MKPBD7REMT774LEBVDS","target":"record","payload":{"canonical_record":{"source":{"id":"2606.27994","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T11:43:45Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"fe2b4d9f550033fc7abdc8cc419bd8e68f893e15d9ad6760ad6e654bf8265a27","abstract_canon_sha256":"863e36654d83c183de88db4b23db77a6d11809158af655db016df6a8480c0578"},"schema_version":"1.0"},"canonical_sha256":"28e964378c53c23fc48c9fffc590351c871c1e0ff80c53c11b5855d88ccd7003","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T01:14:54.739061Z","signature_b64":"z4sjscsPfuSwDBZw6DVJ32KmSF9Kghvu2v+nf0Rnheo/1GezkLmTL6niPtqb3c7xxUX0SU0BI4r8LKaop6+eAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28e964378c53c23fc48c9fffc590351c871c1e0ff80c53c11b5855d88ccd7003","last_reissued_at":"2026-06-29T01:14:54.738694Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T01:14:54.738694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.27994","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":"2026-06-29T01:14:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FXRLvFLK5E8yX6FjhFkTSLDCcESLZBH+hAovBT3mgUIhtjbA/RkhJA8zRNs+Sz3PUzFP3jaeBqRmz9Qhc3HaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:40:04.905589Z"},"content_sha256":"78f3d0cb2b626c9fccea92c88d0bec4c970ea324473c83dcd16328f17b3feb96","schema_version":"1.0","event_id":"sha256:78f3d0cb2b626c9fccea92c88d0bec4c970ea324473c83dcd16328f17b3feb96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:FDUWIN4MKPBD7REMT774LEBVDS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Verifiable and Collusion-Resistant Multi-Party Quantum Private Set Operations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CR"],"primary_cat":"quant-ph","authors_text":"Fengxia Liu, Kun Tian, Yi Zhang, Zixian Gong","submitted_at":"2026-06-26T11:43:45Z","abstract_excerpt":"Threshold private set intersection (TPSI) allows parties to reveal their intersection only when its cardinality reaches a prescribed threshold. Existing quantum TPSI protocols typically rely on a third party (TP) to interpret the final results, which deviates from the cardinality-testing paradigm of TPSI. In this paper, we propose a quantum multiparty TPSI protocol with explicit cardinality testing. Our protocol develops a rotation-based quantum construction in which single-photon sequences are sequentially processed through participant-side data rotations, TP--participant masking rotations, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27994","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/2606.27994/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":"2026-06-29T01:14:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nmliEM7erRV90klIIizreXkDDCZ8Ga4xX8UlVQV9+ue4PKr6qAm8JPS8vPpIuqQifw0ApNHfnGi/GTHkqG/YAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:40:04.905957Z"},"content_sha256":"ec90090011add0cc5ad90b0c55f2666abd484718f1f42683fbc5727c0468f36d","schema_version":"1.0","event_id":"sha256:ec90090011add0cc5ad90b0c55f2666abd484718f1f42683fbc5727c0468f36d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDUWIN4MKPBD7REMT774LEBVDS/bundle.json","state_url":"https://pith.science/pith/FDUWIN4MKPBD7REMT774LEBVDS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDUWIN4MKPBD7REMT774LEBVDS/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":"2026-07-06T20:40:04Z","links":{"resolver":"https://pith.science/pith/FDUWIN4MKPBD7REMT774LEBVDS","bundle":"https://pith.science/pith/FDUWIN4MKPBD7REMT774LEBVDS/bundle.json","state":"https://pith.science/pith/FDUWIN4MKPBD7REMT774LEBVDS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDUWIN4MKPBD7REMT774LEBVDS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FDUWIN4MKPBD7REMT774LEBVDS","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":"863e36654d83c183de88db4b23db77a6d11809158af655db016df6a8480c0578","cross_cats_sorted":["cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T11:43:45Z","title_canon_sha256":"fe2b4d9f550033fc7abdc8cc419bd8e68f893e15d9ad6760ad6e654bf8265a27"},"schema_version":"1.0","source":{"id":"2606.27994","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27994","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27994v1","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27994","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"pith_short_12","alias_value":"FDUWIN4MKPBD","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"pith_short_16","alias_value":"FDUWIN4MKPBD7REM","created_at":"2026-06-29T01:14:54Z"},{"alias_kind":"pith_short_8","alias_value":"FDUWIN4M","created_at":"2026-06-29T01:14:54Z"}],"graph_snapshots":[{"event_id":"sha256:ec90090011add0cc5ad90b0c55f2666abd484718f1f42683fbc5727c0468f36d","target":"graph","created_at":"2026-06-29T01:14:54Z","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/2606.27994/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Threshold private set intersection (TPSI) allows parties to reveal their intersection only when its cardinality reaches a prescribed threshold. Existing quantum TPSI protocols typically rely on a third party (TP) to interpret the final results, which deviates from the cardinality-testing paradigm of TPSI. In this paper, we propose a quantum multiparty TPSI protocol with explicit cardinality testing. Our protocol develops a rotation-based quantum construction in which single-photon sequences are sequentially processed through participant-side data rotations, TP--participant masking rotations, a","authors_text":"Fengxia Liu, Kun Tian, Yi Zhang, Zixian Gong","cross_cats":["cs.CR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T11:43:45Z","title":"Verifiable and Collusion-Resistant Multi-Party Quantum Private Set Operations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27994","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":"sha256:78f3d0cb2b626c9fccea92c88d0bec4c970ea324473c83dcd16328f17b3feb96","target":"record","created_at":"2026-06-29T01:14:54Z","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":"863e36654d83c183de88db4b23db77a6d11809158af655db016df6a8480c0578","cross_cats_sorted":["cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T11:43:45Z","title_canon_sha256":"fe2b4d9f550033fc7abdc8cc419bd8e68f893e15d9ad6760ad6e654bf8265a27"},"schema_version":"1.0","source":{"id":"2606.27994","kind":"arxiv","version":1}},"canonical_sha256":"28e964378c53c23fc48c9fffc590351c871c1e0ff80c53c11b5855d88ccd7003","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28e964378c53c23fc48c9fffc590351c871c1e0ff80c53c11b5855d88ccd7003","first_computed_at":"2026-06-29T01:14:54.738694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:14:54.738694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z4sjscsPfuSwDBZw6DVJ32KmSF9Kghvu2v+nf0Rnheo/1GezkLmTL6niPtqb3c7xxUX0SU0BI4r8LKaop6+eAg==","signature_status":"signed_v1","signed_at":"2026-06-29T01:14:54.739061Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27994","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78f3d0cb2b626c9fccea92c88d0bec4c970ea324473c83dcd16328f17b3feb96","sha256:ec90090011add0cc5ad90b0c55f2666abd484718f1f42683fbc5727c0468f36d"],"state_sha256":"5fe27fbfb1fd76a5fc0d49ea7e61117cc87226acbe2efef884cdc402fefd1fb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XA/FNYVMBTOx+uvY0pM68NyMBcaMPDrWNdL3veqvJq0q9/sIyBTyo5WyUyvHKdqdn7XThXrMdYJJBPRJH8VGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:40:04.907855Z","bundle_sha256":"c768250b96e724b4116f1386b202b48e4ad0bc012081e2cce24689df18b3da3a"}}