{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:F73I7LXMRCQ3L5EHKDR6464S6U","short_pith_number":"pith:F73I7LXM","canonical_record":{"source":{"id":"2606.29769","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T04:21:25Z","cross_cats_sorted":[],"title_canon_sha256":"bc9eb1e382e68e80026f8fb3b1d9ebc4785198fcd49ce647acecec3022c1e4d3","abstract_canon_sha256":"bb782ecfcd413b36081705b892041ce12693264d07fde388faed1b3a69c2058e"},"schema_version":"1.0"},"canonical_sha256":"2ff68faeec88a1b5f48750e3ee7b92f514b96df461caa8d0630e7944f10cd75d","source":{"kind":"arxiv","id":"2606.29769","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29769","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29769v1","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29769","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"F73I7LXMRCQ3","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"pith_short_16","alias_value":"F73I7LXMRCQ3L5EH","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"pith_short_8","alias_value":"F73I7LXM","created_at":"2026-06-30T02:17:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:F73I7LXMRCQ3L5EHKDR6464S6U","target":"record","payload":{"canonical_record":{"source":{"id":"2606.29769","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T04:21:25Z","cross_cats_sorted":[],"title_canon_sha256":"bc9eb1e382e68e80026f8fb3b1d9ebc4785198fcd49ce647acecec3022c1e4d3","abstract_canon_sha256":"bb782ecfcd413b36081705b892041ce12693264d07fde388faed1b3a69c2058e"},"schema_version":"1.0"},"canonical_sha256":"2ff68faeec88a1b5f48750e3ee7b92f514b96df461caa8d0630e7944f10cd75d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:34.493420Z","signature_b64":"u3NHFSHu5NiZp6yHJ34sy2FVEcbRwoPibouG5kjXTDECzQGk9HpmF1jfSSQ3Ieq3O5uaXqs2S6v2mrivnzc9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ff68faeec88a1b5f48750e3ee7b92f514b96df461caa8d0630e7944f10cd75d","last_reissued_at":"2026-06-30T02:17:34.492913Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:34.492913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.29769","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":"2026-06-30T02:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JmoWZ27KyQqYrqb5rmLSHaF1aL6fGGMLjEAbboue8xjSBlebYy/qeMkgfatYCcnL8r4cvk/1JcwtCHgSJONvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T13:49:59.161067Z"},"content_sha256":"aca7a4f0c155149d6bdb9634010b37798565a170134089bfe260e5b4834c0b2c","schema_version":"1.0","event_id":"sha256:aca7a4f0c155149d6bdb9634010b37798565a170134089bfe260e5b4834c0b2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:F73I7LXMRCQ3L5EHKDR6464S6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Circuit Realization of the PPT and CCNR Criteria","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jihui Mo, Yuanhong Tao","submitted_at":"2026-06-29T04:21:25Z","abstract_excerpt":"The efficient detection of quantum entanglement is a central problem in quantum information processing. This paper systematically proposes a quantum circuit implementation scheme based on the Positive Partial Transpose (PPT) and the Computable Cross-Norm Realignment (CCNR) criteria, providing a complete quantum algorithmic pathway for efficient and computable entanglement detection. By encoding quantum states into specific forms and utilizing SWAP operations, complex matrix operations such as partial transpose and realignment are transformed into executable quantum circuits. Furthermore, by in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29769","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/2606.29769/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":"2026-06-30T02:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/O4lCtj5pUnrc2LumYY7QSrEr4ZLdYLjVHf/gwE8QBBJPpqVPVVRcGDHTJ/dnLknulcE9pgr2qOmpX13N60Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T13:49:59.161467Z"},"content_sha256":"06aa5832d8cf0c9df8584471940fdcced751141344b14946cc51b61c9389deb6","schema_version":"1.0","event_id":"sha256:06aa5832d8cf0c9df8584471940fdcced751141344b14946cc51b61c9389deb6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F73I7LXMRCQ3L5EHKDR6464S6U/bundle.json","state_url":"https://pith.science/pith/F73I7LXMRCQ3L5EHKDR6464S6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F73I7LXMRCQ3L5EHKDR6464S6U/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":"2026-07-02T13:49:59Z","links":{"resolver":"https://pith.science/pith/F73I7LXMRCQ3L5EHKDR6464S6U","bundle":"https://pith.science/pith/F73I7LXMRCQ3L5EHKDR6464S6U/bundle.json","state":"https://pith.science/pith/F73I7LXMRCQ3L5EHKDR6464S6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F73I7LXMRCQ3L5EHKDR6464S6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F73I7LXMRCQ3L5EHKDR6464S6U","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":"bb782ecfcd413b36081705b892041ce12693264d07fde388faed1b3a69c2058e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T04:21:25Z","title_canon_sha256":"bc9eb1e382e68e80026f8fb3b1d9ebc4785198fcd49ce647acecec3022c1e4d3"},"schema_version":"1.0","source":{"id":"2606.29769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29769","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29769v1","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29769","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"F73I7LXMRCQ3","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"pith_short_16","alias_value":"F73I7LXMRCQ3L5EH","created_at":"2026-06-30T02:17:34Z"},{"alias_kind":"pith_short_8","alias_value":"F73I7LXM","created_at":"2026-06-30T02:17:34Z"}],"graph_snapshots":[{"event_id":"sha256:06aa5832d8cf0c9df8584471940fdcced751141344b14946cc51b61c9389deb6","target":"graph","created_at":"2026-06-30T02:17:34Z","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/2606.29769/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The efficient detection of quantum entanglement is a central problem in quantum information processing. This paper systematically proposes a quantum circuit implementation scheme based on the Positive Partial Transpose (PPT) and the Computable Cross-Norm Realignment (CCNR) criteria, providing a complete quantum algorithmic pathway for efficient and computable entanglement detection. By encoding quantum states into specific forms and utilizing SWAP operations, complex matrix operations such as partial transpose and realignment are transformed into executable quantum circuits. Furthermore, by in","authors_text":"Jihui Mo, Yuanhong Tao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T04:21:25Z","title":"Quantum Circuit Realization of the PPT and CCNR Criteria"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29769","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:aca7a4f0c155149d6bdb9634010b37798565a170134089bfe260e5b4834c0b2c","target":"record","created_at":"2026-06-30T02:17:34Z","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":"bb782ecfcd413b36081705b892041ce12693264d07fde388faed1b3a69c2058e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T04:21:25Z","title_canon_sha256":"bc9eb1e382e68e80026f8fb3b1d9ebc4785198fcd49ce647acecec3022c1e4d3"},"schema_version":"1.0","source":{"id":"2606.29769","kind":"arxiv","version":1}},"canonical_sha256":"2ff68faeec88a1b5f48750e3ee7b92f514b96df461caa8d0630e7944f10cd75d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ff68faeec88a1b5f48750e3ee7b92f514b96df461caa8d0630e7944f10cd75d","first_computed_at":"2026-06-30T02:17:34.492913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:34.492913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u3NHFSHu5NiZp6yHJ34sy2FVEcbRwoPibouG5kjXTDECzQGk9HpmF1jfSSQ3Ieq3O5uaXqs2S6v2mrivnzc9CA==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:34.493420Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aca7a4f0c155149d6bdb9634010b37798565a170134089bfe260e5b4834c0b2c","sha256:06aa5832d8cf0c9df8584471940fdcced751141344b14946cc51b61c9389deb6"],"state_sha256":"3cff2098e82e1bde9abcb6f57f6e0f1efff455d2c1184338edc65a7dd0ee2794"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ABTkucg3Bf6wFOOR1llgPl3DxsEHRCYh7yI82nhzl5Ib6LYD5rYR/5+lamZG0zmyZcPC2yXwAkezMV4YRslmCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T13:49:59.163456Z","bundle_sha256":"ebbaf4420b621a51945824931290172260a3011316128313eb76287f8fc3ae5b"}}