{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ZOBIINFVDR7ZQH7UPSNUPVGWOQ","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":"eb6992dcf999981b3760c55bea477747c1fee5cd5b5da6de816a2f3e1ff31a00","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-01-20T05:12:49Z","title_canon_sha256":"bc0e3770b70a29f58660eef4e614101e93bd30265469ee3a578d87e55099d9d3"},"schema_version":"1.0","source":{"id":"quant-ph/0601136","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0601136","created_at":"2026-07-04T14:52:57Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0601136v1","created_at":"2026-07-04T14:52:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0601136","created_at":"2026-07-04T14:52:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZOBIINFVDR7Z","created_at":"2026-07-04T14:52:57Z"},{"alias_kind":"pith_short_16","alias_value":"ZOBIINFVDR7ZQH7U","created_at":"2026-07-04T14:52:57Z"},{"alias_kind":"pith_short_8","alias_value":"ZOBIINFV","created_at":"2026-07-04T14:52:57Z"}],"graph_snapshots":[{"event_id":"sha256:3fba9c5e9c293592b0c959b7732099b116b36542e0eeac894393318da5c2b1b6","target":"graph","created_at":"2026-07-04T14:52:57Z","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/quant-ph/0601136/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a rigorous proof of an interesting boundary effect of deterministic dense coding first observed by Mozes et al. [Phys. Rev. A 71, 012311 (2005)]. Namely, it is shown that $d^2-1$ cannot be the maximal alphabet size of any isometric deterministic dense coding schemes utilizing $d$-level partial entanglement.","authors_text":"Mingsheng Ying, Runyao Duan, Yuan Feng, Zhengfeng Ji","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-01-20T05:12:49Z","title":"Boundary effect of deterministic dense coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0601136","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":"sha256:4cce982a49e1670892bfada628998893a1bbb163783008c605d7fde06a0d1581","target":"record","created_at":"2026-07-04T14:52:57Z","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":"eb6992dcf999981b3760c55bea477747c1fee5cd5b5da6de816a2f3e1ff31a00","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-01-20T05:12:49Z","title_canon_sha256":"bc0e3770b70a29f58660eef4e614101e93bd30265469ee3a578d87e55099d9d3"},"schema_version":"1.0","source":{"id":"quant-ph/0601136","kind":"arxiv","version":1}},"canonical_sha256":"cb828434b51c7f981ff47c9b47d4d6742c5d5774bd4909326da7512ad9996a25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb828434b51c7f981ff47c9b47d4d6742c5d5774bd4909326da7512ad9996a25","first_computed_at":"2026-07-04T14:52:57.663973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:52:57.663973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/R7hVn9iARurTP0xxx2/gDyMNoLeVyz6JRu8IR7u/j33wAvRh56tFsgAX9+g2YY/Ei5i5p31eQY6E7dipdQmDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:52:57.664396Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0601136","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cce982a49e1670892bfada628998893a1bbb163783008c605d7fde06a0d1581","sha256:3fba9c5e9c293592b0c959b7732099b116b36542e0eeac894393318da5c2b1b6"],"state_sha256":"c4a330ac3bd66709583cf179853bc4f38c8918105e63d8be13e9aa4971ff6627"}