{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:Q3HE7FL7IMV67L6A27M6HH3FJB","short_pith_number":"pith:Q3HE7FL7","canonical_record":{"source":{"id":"quant-ph/0407037","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-07-05T18:31:32Z","cross_cats_sorted":[],"title_canon_sha256":"005de385e4e63f983c88e3d27f9dc8973c253cacfa8c268d19f58b955796c923","abstract_canon_sha256":"1a60019c28ead628d3fa9614624dc293f1bb6ae342af4db0d9649c3fb618e34f"},"schema_version":"1.0"},"canonical_sha256":"86ce4f957f432befafc0d7d9e39f65485a4e0942821e3e70a29912adc4db6e0d","source":{"kind":"arxiv","id":"quant-ph/0407037","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0407037","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0407037v3","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0407037","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"Q3HE7FL7IMV6","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"Q3HE7FL7IMV67L6A","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"Q3HE7FL7","created_at":"2026-07-04T16:01:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:Q3HE7FL7IMV67L6A27M6HH3FJB","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0407037","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-07-05T18:31:32Z","cross_cats_sorted":[],"title_canon_sha256":"005de385e4e63f983c88e3d27f9dc8973c253cacfa8c268d19f58b955796c923","abstract_canon_sha256":"1a60019c28ead628d3fa9614624dc293f1bb6ae342af4db0d9649c3fb618e34f"},"schema_version":"1.0"},"canonical_sha256":"86ce4f957f432befafc0d7d9e39f65485a4e0942821e3e70a29912adc4db6e0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:01:56.495412Z","signature_b64":"IlizJ2Q8ruLXIYtbjUR7BGJ01dmi2KOCcIT5aT9bEB54GGy2oS0PosLsHzhsPtaJNP24i8RaoqUjwBnb9HEuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86ce4f957f432befafc0d7d9e39f65485a4e0942821e3e70a29912adc4db6e0d","last_reissued_at":"2026-07-04T16:01:56.495033Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:01:56.495033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0407037","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J4v0fOK3mQb5UXn+Gmuz2HEK6JWxEcqux/tIa3P5iaCRj6Gyp/ud90MNGQH5bnW4jcFsp+toBF76PFbAyq7hBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:08:23.495877Z"},"content_sha256":"4947959b186f9948518d57828171c07aea567fbe976d977bee2f4f7f41bf64ba","schema_version":"1.0","event_id":"sha256:4947959b186f9948518d57828171c07aea567fbe976d977bee2f4f7f41bf64ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:Q3HE7FL7IMV67L6A27M6HH3FJB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed quantum dense coding","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aditi Sen De, Chiara Macchiavello, Dagmar Bruss, Giacomo Mauro D'Ariano, Maciej Lewenstein, Ujjwal Sen","submitted_at":"2004-07-05T18:31:32Z","abstract_excerpt":"We introduce the notion of distributed quantum dense coding, i.e. the generalization of quantum dense coding to more than one sender and more than one receiver. We show that global operations (as compared to local operations) of the senders do not increase the information transfer capacity, in the case of a single receiver. For the case of two receivers, using local operations and classical communication, a non-trivial upper bound for the capacity is derived. We propose a general classification scheme of quantum states according to their usefulness for dense coding. In the bipartite case (for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0407037","kind":"arxiv","version":3},"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/quant-ph/0407037/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":"2026-07-04T16:01:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SbqNKaRnygKwll/mEUDYyUm5DPOPaHBGvlhuB3Vh46tOq/oCQxnKLFTixYst1M8fg1aB/tc2aWHQDunZdKd7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:08:23.496458Z"},"content_sha256":"27e0e52062e8fa0578321842de895cd7140d3e3495a6d3b7e966d5ebb940b351","schema_version":"1.0","event_id":"sha256:27e0e52062e8fa0578321842de895cd7140d3e3495a6d3b7e966d5ebb940b351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3HE7FL7IMV67L6A27M6HH3FJB/bundle.json","state_url":"https://pith.science/pith/Q3HE7FL7IMV67L6A27M6HH3FJB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3HE7FL7IMV67L6A27M6HH3FJB/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":"2026-08-03T17:08:23Z","links":{"resolver":"https://pith.science/pith/Q3HE7FL7IMV67L6A27M6HH3FJB","bundle":"https://pith.science/pith/Q3HE7FL7IMV67L6A27M6HH3FJB/bundle.json","state":"https://pith.science/pith/Q3HE7FL7IMV67L6A27M6HH3FJB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3HE7FL7IMV67L6A27M6HH3FJB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:Q3HE7FL7IMV67L6A27M6HH3FJB","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":"1a60019c28ead628d3fa9614624dc293f1bb6ae342af4db0d9649c3fb618e34f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-07-05T18:31:32Z","title_canon_sha256":"005de385e4e63f983c88e3d27f9dc8973c253cacfa8c268d19f58b955796c923"},"schema_version":"1.0","source":{"id":"quant-ph/0407037","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0407037","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0407037v3","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0407037","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"Q3HE7FL7IMV6","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"pith_short_16","alias_value":"Q3HE7FL7IMV67L6A","created_at":"2026-07-04T16:01:56Z"},{"alias_kind":"pith_short_8","alias_value":"Q3HE7FL7","created_at":"2026-07-04T16:01:56Z"}],"graph_snapshots":[{"event_id":"sha256:27e0e52062e8fa0578321842de895cd7140d3e3495a6d3b7e966d5ebb940b351","target":"graph","created_at":"2026-07-04T16:01:56Z","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/0407037/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the notion of distributed quantum dense coding, i.e. the generalization of quantum dense coding to more than one sender and more than one receiver. We show that global operations (as compared to local operations) of the senders do not increase the information transfer capacity, in the case of a single receiver. For the case of two receivers, using local operations and classical communication, a non-trivial upper bound for the capacity is derived. We propose a general classification scheme of quantum states according to their usefulness for dense coding. In the bipartite case (for ","authors_text":"Aditi Sen De, Chiara Macchiavello, Dagmar Bruss, Giacomo Mauro D'Ariano, Maciej Lewenstein, Ujjwal Sen","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-07-05T18:31:32Z","title":"Distributed quantum dense coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0407037","kind":"arxiv","version":3},"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":"sha256:4947959b186f9948518d57828171c07aea567fbe976d977bee2f4f7f41bf64ba","target":"record","created_at":"2026-07-04T16:01:56Z","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":"1a60019c28ead628d3fa9614624dc293f1bb6ae342af4db0d9649c3fb618e34f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-07-05T18:31:32Z","title_canon_sha256":"005de385e4e63f983c88e3d27f9dc8973c253cacfa8c268d19f58b955796c923"},"schema_version":"1.0","source":{"id":"quant-ph/0407037","kind":"arxiv","version":3}},"canonical_sha256":"86ce4f957f432befafc0d7d9e39f65485a4e0942821e3e70a29912adc4db6e0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86ce4f957f432befafc0d7d9e39f65485a4e0942821e3e70a29912adc4db6e0d","first_computed_at":"2026-07-04T16:01:56.495033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:01:56.495033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IlizJ2Q8ruLXIYtbjUR7BGJ01dmi2KOCcIT5aT9bEB54GGy2oS0PosLsHzhsPtaJNP24i8RaoqUjwBnb9HEuCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:01:56.495412Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0407037","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4947959b186f9948518d57828171c07aea567fbe976d977bee2f4f7f41bf64ba","sha256:27e0e52062e8fa0578321842de895cd7140d3e3495a6d3b7e966d5ebb940b351"],"state_sha256":"cdeff4c3f806466f1a78174c4a5d09b480a1f01979f7855b00f528042a032cb0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xYUkriqOFvJj9JoLjyu1mUHvPU9vhFVVXchOoqD6rkWMAnwVThdCMt6zeDZqWD8Y3TXJw4fga+UQ3aIt8J73Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:08:23.501797Z","bundle_sha256":"55808f95106d081321cdbfb2afa2309fddf445cf285e50f12422ad494661a42c"}}