{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EJ6MZ222QNPG2QIW2T35M4INDY","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":"8cfb4a15d4b701d4d7201d955238e25f849cf9545de342b629e3627ebd7b52f8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-26T05:43:31Z","title_canon_sha256":"97fbaab76e8b7195b1df5cb778653b27a10ef35f20236efe6c7cbfc5559566de"},"schema_version":"1.0","source":{"id":"2511.21079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.21079","created_at":"2026-06-19T16:12:49Z"},{"alias_kind":"arxiv_version","alias_value":"2511.21079v1","created_at":"2026-06-19T16:12:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.21079","created_at":"2026-06-19T16:12:49Z"},{"alias_kind":"pith_short_12","alias_value":"EJ6MZ222QNPG","created_at":"2026-06-19T16:12:49Z"},{"alias_kind":"pith_short_16","alias_value":"EJ6MZ222QNPG2QIW","created_at":"2026-06-19T16:12:49Z"},{"alias_kind":"pith_short_8","alias_value":"EJ6MZ222","created_at":"2026-06-19T16:12:49Z"}],"graph_snapshots":[{"event_id":"sha256:32c205ccd26ad0bd64bc50410e66194304f472a86377e5f6933845a2d6e2e35e","target":"graph","created_at":"2026-06-19T16:12:49Z","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/2511.21079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a unified framework to analyze $d$-dimensional quantum teleportation through the joint geometry of two complementary figures of merit: average fidelity $F$ (how well a protocol works on average) and fidelity deviation $D$ (how uniformly it works across the inputs). Technically, we formulate a representation-theoretical framework based on Schur-Weyl duality and permutation symmetry calculus that reduce the higher-moment Haar averages to a finite set of trace invariants of the composed correction unitaries. This yields closed-form expressions for $F$ and $D$ in arbitrary Hilbert-space","authors_text":"Jeongho Bang, Kyoungho Cho","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-26T05:43:31Z","title":"Witness wedges in fidelity-deviation plane: separating teleportation advantage and Bell-inequality violation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.21079","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":"sha256:0267457d43cc5757f5cbdea727f045a2d8bad4ca52cea44d62828e18885178db","target":"record","created_at":"2026-06-19T16:12:49Z","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":"8cfb4a15d4b701d4d7201d955238e25f849cf9545de342b629e3627ebd7b52f8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-26T05:43:31Z","title_canon_sha256":"97fbaab76e8b7195b1df5cb778653b27a10ef35f20236efe6c7cbfc5559566de"},"schema_version":"1.0","source":{"id":"2511.21079","kind":"arxiv","version":1}},"canonical_sha256":"227ccceb5a835e6d4116d4f7d6710d1e015b64d96934a397fd1edb73b02ec17d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"227ccceb5a835e6d4116d4f7d6710d1e015b64d96934a397fd1edb73b02ec17d","first_computed_at":"2026-06-19T16:12:49.234869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:49.234869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"90mp2DVDhoZGZ7fLbJWEL/inhthaCty6JpsONYg7Vbo9ZIs46byAdh7a10u88S830qcAy9Uxl07iVYiuGMtxDw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:49.235408Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.21079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0267457d43cc5757f5cbdea727f045a2d8bad4ca52cea44d62828e18885178db","sha256:32c205ccd26ad0bd64bc50410e66194304f472a86377e5f6933845a2d6e2e35e"],"state_sha256":"87681f7ec8e694f6b594136706ef3258cf97cdd2fa3624d216b335b1f1e6a51c"}