{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PUF2KHMBKFLXZWSRWWS6OZYQ5E","short_pith_number":"pith:PUF2KHMB","canonical_record":{"source":{"id":"2607.00210","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T21:41:17Z","cross_cats_sorted":[],"title_canon_sha256":"c66a73caafd793ffe0db8ebccf81caba05d937cecb5209a327a505893eb0c5d8","abstract_canon_sha256":"c60f3118973f7c2c81b1311a319b6c32d1cbd0a200505df1b562f2b4aafd3713"},"schema_version":"1.0"},"canonical_sha256":"7d0ba51d8151577cda51b5a5e76710e909fcb202d3ac0d70db04f040e5ca556f","source":{"kind":"arxiv","id":"2607.00210","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00210","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00210v1","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00210","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"pith_short_12","alias_value":"PUF2KHMBKFLX","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"pith_short_16","alias_value":"PUF2KHMBKFLXZWSR","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"pith_short_8","alias_value":"PUF2KHMB","created_at":"2026-07-02T00:18:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PUF2KHMBKFLXZWSRWWS6OZYQ5E","target":"record","payload":{"canonical_record":{"source":{"id":"2607.00210","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T21:41:17Z","cross_cats_sorted":[],"title_canon_sha256":"c66a73caafd793ffe0db8ebccf81caba05d937cecb5209a327a505893eb0c5d8","abstract_canon_sha256":"c60f3118973f7c2c81b1311a319b6c32d1cbd0a200505df1b562f2b4aafd3713"},"schema_version":"1.0"},"canonical_sha256":"7d0ba51d8151577cda51b5a5e76710e909fcb202d3ac0d70db04f040e5ca556f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-02T00:18:39.193434Z","signature_b64":"uSDZUkhf/+fMg2by874A5uZApaqREBecNb4iRTaZmt26syoCARg95mZkvInRE3OwBWWkwLA3Uct04hlDDl63Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d0ba51d8151577cda51b5a5e76710e909fcb202d3ac0d70db04f040e5ca556f","last_reissued_at":"2026-07-02T00:18:39.192597Z","signature_status":"signed_v1","first_computed_at":"2026-07-02T00:18:39.192597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.00210","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":"2026-07-02T00:18:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yt9UyCNNE3M3miTPyWHjuPIRfyJ3BgIm7RhvTTFxTLOZRB8jq7ggn56wDASgxc6UsWCYcsX4XUEoKLaqelwsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T00:24:29.045068Z"},"content_sha256":"2f87d627ac444831de5b4a693e93f59f2ca074d9f336c5e45dd791d97a07b2da","schema_version":"1.0","event_id":"sha256:2f87d627ac444831de5b4a693e93f59f2ca074d9f336c5e45dd791d97a07b2da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PUF2KHMBKFLXZWSRWWS6OZYQ5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification and Exact Local Masking in Finite-Field Clifford Dual-Unitary Circuits","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Basanta R Pahari","submitted_at":"2026-06-30T21:41:17Z","abstract_excerpt":"We classify two-qudit finite-field Clifford dual-unitary gates and apply the classification to exact local masking and operator transport in homogeneous brickwork circuits. Under ordered one-qudit Clifford equivalence, the dual-unitary locus contains $q-2$ perfect-tensor cores, one rank-one core, and one SWAP core. The perfect cores are indexed by \\[ \\delta=\\det B=\\det C, \\] and are related to the ordered cross-ratio $\\lambda$ of the associated $[4,2,3]_q$ MDS configuration through \\[ \\lambda=\\frac{\\delta}{\\delta-1}. \\] Homogeneous repetition separates these cores into five transport phases wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00210","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/2607.00210/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":"2026-07-02T00:18:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M34VFT0oE4IT1kaLWlWYChdY9avFCByNmC/M+hwH/gDtmy7MKyJ80HR/n0K6Ig3SsOlcfi5xVguD+SoN/bHwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T00:24:29.045460Z"},"content_sha256":"f4fa71c90625448402b5296fe6e9e5e922c25382f010aed2faf25a0841e9b09f","schema_version":"1.0","event_id":"sha256:f4fa71c90625448402b5296fe6e9e5e922c25382f010aed2faf25a0841e9b09f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E/bundle.json","state_url":"https://pith.science/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E/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":"2026-07-03T00:24:29Z","links":{"resolver":"https://pith.science/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E","bundle":"https://pith.science/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E/bundle.json","state":"https://pith.science/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PUF2KHMBKFLXZWSRWWS6OZYQ5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PUF2KHMBKFLXZWSRWWS6OZYQ5E","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":"c60f3118973f7c2c81b1311a319b6c32d1cbd0a200505df1b562f2b4aafd3713","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T21:41:17Z","title_canon_sha256":"c66a73caafd793ffe0db8ebccf81caba05d937cecb5209a327a505893eb0c5d8"},"schema_version":"1.0","source":{"id":"2607.00210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00210","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00210v1","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00210","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"pith_short_12","alias_value":"PUF2KHMBKFLX","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"pith_short_16","alias_value":"PUF2KHMBKFLXZWSR","created_at":"2026-07-02T00:18:39Z"},{"alias_kind":"pith_short_8","alias_value":"PUF2KHMB","created_at":"2026-07-02T00:18:39Z"}],"graph_snapshots":[{"event_id":"sha256:f4fa71c90625448402b5296fe6e9e5e922c25382f010aed2faf25a0841e9b09f","target":"graph","created_at":"2026-07-02T00:18:39Z","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/2607.00210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We classify two-qudit finite-field Clifford dual-unitary gates and apply the classification to exact local masking and operator transport in homogeneous brickwork circuits. Under ordered one-qudit Clifford equivalence, the dual-unitary locus contains $q-2$ perfect-tensor cores, one rank-one core, and one SWAP core. The perfect cores are indexed by \\[ \\delta=\\det B=\\det C, \\] and are related to the ordered cross-ratio $\\lambda$ of the associated $[4,2,3]_q$ MDS configuration through \\[ \\lambda=\\frac{\\delta}{\\delta-1}. \\] Homogeneous repetition separates these cores into five transport phases wh","authors_text":"Basanta R Pahari","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T21:41:17Z","title":"Classification and Exact Local Masking in Finite-Field Clifford Dual-Unitary Circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00210","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":"sha256:2f87d627ac444831de5b4a693e93f59f2ca074d9f336c5e45dd791d97a07b2da","target":"record","created_at":"2026-07-02T00:18:39Z","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":"c60f3118973f7c2c81b1311a319b6c32d1cbd0a200505df1b562f2b4aafd3713","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-30T21:41:17Z","title_canon_sha256":"c66a73caafd793ffe0db8ebccf81caba05d937cecb5209a327a505893eb0c5d8"},"schema_version":"1.0","source":{"id":"2607.00210","kind":"arxiv","version":1}},"canonical_sha256":"7d0ba51d8151577cda51b5a5e76710e909fcb202d3ac0d70db04f040e5ca556f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d0ba51d8151577cda51b5a5e76710e909fcb202d3ac0d70db04f040e5ca556f","first_computed_at":"2026-07-02T00:18:39.192597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T00:18:39.192597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uSDZUkhf/+fMg2by874A5uZApaqREBecNb4iRTaZmt26syoCARg95mZkvInRE3OwBWWkwLA3Uct04hlDDl63Ag==","signature_status":"signed_v1","signed_at":"2026-07-02T00:18:39.193434Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.00210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f87d627ac444831de5b4a693e93f59f2ca074d9f336c5e45dd791d97a07b2da","sha256:f4fa71c90625448402b5296fe6e9e5e922c25382f010aed2faf25a0841e9b09f"],"state_sha256":"f68cfdcdb0354e9058f705d5df29d4e1ac9a35db9e598820993daa72ff6ce63c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dq3Yx/VCIjh6J3SuL+eZ8uvatJe2End9eIMWbkEzXhl5E4bD1zNSXRAQ+YVWMfXI0JWhPYerit2lwgMYBcuqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T00:24:29.047507Z","bundle_sha256":"5b7ba33e0839ea2541054b632bfb4c65a45b0e65b433017b139a21e75ddb56f7"}}