{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:X5XMYGKNF4ZQNN47AU4JOGQCTX","short_pith_number":"pith:X5XMYGKN","canonical_record":{"source":{"id":"quant-ph/0501045","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-11T01:46:16Z","cross_cats_sorted":[],"title_canon_sha256":"4465d9143e49df1c781aea287b949c191ed37e63ffe15008b9f84f6cbbdfd063","abstract_canon_sha256":"1352fc3b32ea0b11850b3c6b8a174fe6f69f884f9fe0a2e731845e4220d7d083"},"schema_version":"1.0"},"canonical_sha256":"bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6","source":{"kind":"arxiv","id":"quant-ph/0501045","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0501045","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0501045v3","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0501045","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"X5XMYGKNF4ZQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"X5XMYGKNF4ZQNN47","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"X5XMYGKN","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:X5XMYGKNF4ZQNN47AU4JOGQCTX","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0501045","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-11T01:46:16Z","cross_cats_sorted":[],"title_canon_sha256":"4465d9143e49df1c781aea287b949c191ed37e63ffe15008b9f84f6cbbdfd063","abstract_canon_sha256":"1352fc3b32ea0b11850b3c6b8a174fe6f69f884f9fe0a2e731845e4220d7d083"},"schema_version":"1.0"},"canonical_sha256":"bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:23.968568Z","signature_b64":"iC5nTLTvgdgN74rpnL+VB/wUVvPy+G3jhbIbt9w92Cs68INARU97qzKW9Id/OnBH1UoomHZ3AW3EsPORMcySBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6","last_reissued_at":"2026-05-18T04:10:23.967672Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:23.967672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0501045","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":"2026-05-18T04:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kw2pkY4h3Qmx29iLUDdIwMLRwmHM252gjrfirIgOJ/jF4Nn0TyRwA2BLO/nS6XlkFauPXyAHykLuREG54bbQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:10:17.541423Z"},"content_sha256":"fc0d64257273f64b1f2928b8e612f7bb8a5ad097c9e91f8f0199d7c0b9dccfee","schema_version":"1.0","event_id":"sha256:fc0d64257273f64b1f2928b8e612f7bb8a5ad097c9e91f8f0199d7c0b9dccfee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:X5XMYGKNF4ZQNN47AU4JOGQCTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Capacity Theorems for Quantum Multiple Access Channels: Classical-Quantum and Quantum-Quantum Capacity Regions","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Igor Devetak, Jon Yard, Patrick Hayden","submitted_at":"2005-01-11T01:46:16Z","abstract_excerpt":"We consider quantum channels with two senders and one receiver. For an arbitrary such channel, we give multi-letter characterizations of two different two-dimensional capacity regions. The first region is comprised of the rates at which it is possible for one sender to send classical information, while the other sends quantum information. The second region consists of the rates at which each sender can send quantum information. For each region, we give an example of a channel for which the corresponding region has a single-letter description. One of our examples relies on a new result proved h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0501045","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":""},"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":"2026-05-18T04:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zLAUd7BawJ7uZUAKJdYeHgxWSRxzgDY5wd4pC+q+3CZGwQfjuPXGUBMdSoxbDEAy5MZKwaZ9TwhNciR0isLpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:10:17.541776Z"},"content_sha256":"aa22b943ec975571b10c303938d23503e6d26eba3a9ad7900d6f04398a3d5cd1","schema_version":"1.0","event_id":"sha256:aa22b943ec975571b10c303938d23503e6d26eba3a9ad7900d6f04398a3d5cd1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX/bundle.json","state_url":"https://pith.science/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX/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":"2026-06-11T13:10:17Z","links":{"resolver":"https://pith.science/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX","bundle":"https://pith.science/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX/bundle.json","state":"https://pith.science/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X5XMYGKNF4ZQNN47AU4JOGQCTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:X5XMYGKNF4ZQNN47AU4JOGQCTX","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":"1352fc3b32ea0b11850b3c6b8a174fe6f69f884f9fe0a2e731845e4220d7d083","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-11T01:46:16Z","title_canon_sha256":"4465d9143e49df1c781aea287b949c191ed37e63ffe15008b9f84f6cbbdfd063"},"schema_version":"1.0","source":{"id":"quant-ph/0501045","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0501045","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0501045v3","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0501045","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"X5XMYGKNF4ZQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"X5XMYGKNF4ZQNN47","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"X5XMYGKN","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:aa22b943ec975571b10c303938d23503e6d26eba3a9ad7900d6f04398a3d5cd1","target":"graph","created_at":"2026-05-18T04:10:23Z","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"},"paper":{"abstract_excerpt":"We consider quantum channels with two senders and one receiver. For an arbitrary such channel, we give multi-letter characterizations of two different two-dimensional capacity regions. The first region is comprised of the rates at which it is possible for one sender to send classical information, while the other sends quantum information. The second region consists of the rates at which each sender can send quantum information. For each region, we give an example of a channel for which the corresponding region has a single-letter description. One of our examples relies on a new result proved h","authors_text":"Igor Devetak, Jon Yard, Patrick Hayden","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-01-11T01:46:16Z","title":"Capacity Theorems for Quantum Multiple Access Channels: Classical-Quantum and Quantum-Quantum Capacity Regions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0501045","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:fc0d64257273f64b1f2928b8e612f7bb8a5ad097c9e91f8f0199d7c0b9dccfee","target":"record","created_at":"2026-05-18T04:10:23Z","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":"1352fc3b32ea0b11850b3c6b8a174fe6f69f884f9fe0a2e731845e4220d7d083","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-11T01:46:16Z","title_canon_sha256":"4465d9143e49df1c781aea287b949c191ed37e63ffe15008b9f84f6cbbdfd063"},"schema_version":"1.0","source":{"id":"quant-ph/0501045","kind":"arxiv","version":3}},"canonical_sha256":"bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf6ecc194d2f3306b79f0538971a029de813e926607e2668ef84e6c558aed3a6","first_computed_at":"2026-05-18T04:10:23.967672Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:23.967672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iC5nTLTvgdgN74rpnL+VB/wUVvPy+G3jhbIbt9w92Cs68INARU97qzKW9Id/OnBH1UoomHZ3AW3EsPORMcySBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:23.968568Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0501045","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc0d64257273f64b1f2928b8e612f7bb8a5ad097c9e91f8f0199d7c0b9dccfee","sha256:aa22b943ec975571b10c303938d23503e6d26eba3a9ad7900d6f04398a3d5cd1"],"state_sha256":"1f389d1c86facc09b5847bc46bf582229db1ad3a657c36106fcde51962e3db17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FPFs/htYZBA161nE6WcOWIOIvN31j6eWEaHq4bFKaS3rOSLGkILjlK9wqLB/N987jg1+bZe9eK8oLeU9WRuQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:10:17.544115Z","bundle_sha256":"0bf8105349840eb29c311b1ef55ef98e5524e6038c9b2a0ba4361f578fd62922"}}