{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QXNIJMFJFDLHJ727EO4VGQ6AMB","short_pith_number":"pith:QXNIJMFJ","canonical_record":{"source":{"id":"1008.4153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-08-24T21:12:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ee178a1a4fee01a923ec1fb85dc0a9bb128c0cec848aabf137156ae567def39c","abstract_canon_sha256":"1f8269e33f4cb56d4e1a8e411294b66dcfdde2417c7ae9a9c4a4e9d91f8ffb69"},"schema_version":"1.0"},"canonical_sha256":"85da84b0a928d674ff5f23b95343c06057e241e739495687ab6d01c70008435c","source":{"kind":"arxiv","id":"1008.4153","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4153","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4153v1","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4153","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"QXNIJMFJFDLH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QXNIJMFJFDLHJ727","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QXNIJMFJ","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QXNIJMFJFDLHJ727EO4VGQ6AMB","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-08-24T21:12:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ee178a1a4fee01a923ec1fb85dc0a9bb128c0cec848aabf137156ae567def39c","abstract_canon_sha256":"1f8269e33f4cb56d4e1a8e411294b66dcfdde2417c7ae9a9c4a4e9d91f8ffb69"},"schema_version":"1.0"},"canonical_sha256":"85da84b0a928d674ff5f23b95343c06057e241e739495687ab6d01c70008435c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:53.599094Z","signature_b64":"zMEM479EvzIdRJWSh8i8klkO5M4EznjinmRIwNSuvfpclaIXl8SUK/54YmV4c+P473YFZCVO6oeehSjwewXTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85da84b0a928d674ff5f23b95343c06057e241e739495687ab6d01c70008435c","last_reissued_at":"2026-05-18T04:41:53.598531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:53.598531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4153","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":"2026-05-18T04:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YTuMcdwijLhv3BaBQqLH5sdnekDBLumUGIXVtV7w/9k1s75x51s41yulE5Z8XvKcoBrHOPxMxrzbsZRIfyvfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:22:08.415593Z"},"content_sha256":"1e18e4d810cb445e5bacefc1c21972d2bc08733f0a3b5f56b9ac0a217e662dc4","schema_version":"1.0","event_id":"sha256:1e18e4d810cb445e5bacefc1c21972d2bc08733f0a3b5f56b9ac0a217e662dc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QXNIJMFJFDLHJ727EO4VGQ6AMB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improvement of the Han-Kobayashi Rate Region for General Interference Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ghosheh Abed Hodtani","submitted_at":"2010-08-24T21:12:42Z","abstract_excerpt":"Allowing the input auxiliary random variables to be correlated and using the binning scheme, the Han- Kobayashi (HK) rate region for general interference channel is improved. The obtained new achievable rate region (i) is shown to encompass the HK region and its simplified description, i.e., Chong-Motani-Garg (CMG) region,considering a detailed and favorable comparison between different versions of the regions, and (ii) has an interesting and easy interpretation: as expected, any rate in our region has generally two additional terms in comparison with the HK region (one due to the input correl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4153","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":""},"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":"2026-05-18T04:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gwAZPirAdEuCi8+BwujVadzjPDISzJqA5RfomjR/yX/XrFIBZjZqgP/ANhEjdT8P35zaTIKINNgJ2YEqmvFSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:22:08.416238Z"},"content_sha256":"c64ca2f7230a09cb28aeed094dca273b3ab75772734c5b1ac36b70e65671295e","schema_version":"1.0","event_id":"sha256:c64ca2f7230a09cb28aeed094dca273b3ab75772734c5b1ac36b70e65671295e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB/bundle.json","state_url":"https://pith.science/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB/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":"2026-05-25T18:22:08Z","links":{"resolver":"https://pith.science/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB","bundle":"https://pith.science/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB/bundle.json","state":"https://pith.science/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXNIJMFJFDLHJ727EO4VGQ6AMB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QXNIJMFJFDLHJ727EO4VGQ6AMB","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":"1f8269e33f4cb56d4e1a8e411294b66dcfdde2417c7ae9a9c4a4e9d91f8ffb69","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-08-24T21:12:42Z","title_canon_sha256":"ee178a1a4fee01a923ec1fb85dc0a9bb128c0cec848aabf137156ae567def39c"},"schema_version":"1.0","source":{"id":"1008.4153","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4153","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4153v1","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4153","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"QXNIJMFJFDLH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QXNIJMFJFDLHJ727","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QXNIJMFJ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:c64ca2f7230a09cb28aeed094dca273b3ab75772734c5b1ac36b70e65671295e","target":"graph","created_at":"2026-05-18T04:41:53Z","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":"Allowing the input auxiliary random variables to be correlated and using the binning scheme, the Han- Kobayashi (HK) rate region for general interference channel is improved. The obtained new achievable rate region (i) is shown to encompass the HK region and its simplified description, i.e., Chong-Motani-Garg (CMG) region,considering a detailed and favorable comparison between different versions of the regions, and (ii) has an interesting and easy interpretation: as expected, any rate in our region has generally two additional terms in comparison with the HK region (one due to the input correl","authors_text":"Ghosheh Abed Hodtani","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-08-24T21:12:42Z","title":"Improvement of the Han-Kobayashi Rate Region for General Interference Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4153","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":"sha256:1e18e4d810cb445e5bacefc1c21972d2bc08733f0a3b5f56b9ac0a217e662dc4","target":"record","created_at":"2026-05-18T04:41:53Z","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":"1f8269e33f4cb56d4e1a8e411294b66dcfdde2417c7ae9a9c4a4e9d91f8ffb69","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-08-24T21:12:42Z","title_canon_sha256":"ee178a1a4fee01a923ec1fb85dc0a9bb128c0cec848aabf137156ae567def39c"},"schema_version":"1.0","source":{"id":"1008.4153","kind":"arxiv","version":1}},"canonical_sha256":"85da84b0a928d674ff5f23b95343c06057e241e739495687ab6d01c70008435c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85da84b0a928d674ff5f23b95343c06057e241e739495687ab6d01c70008435c","first_computed_at":"2026-05-18T04:41:53.598531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:53.598531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zMEM479EvzIdRJWSh8i8klkO5M4EznjinmRIwNSuvfpclaIXl8SUK/54YmV4c+P473YFZCVO6oeehSjwewXTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:53.599094Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4153","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e18e4d810cb445e5bacefc1c21972d2bc08733f0a3b5f56b9ac0a217e662dc4","sha256:c64ca2f7230a09cb28aeed094dca273b3ab75772734c5b1ac36b70e65671295e"],"state_sha256":"7d42a7a2d0d1446c089fa0d1d48ca4e4d19fcb03f7fba326fccc92d098b05a80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k6zdnTHWlNSwH6i/buKR96VhsVVO7z9ON6a2aKNSxQ9fe3tjpIyr0vZ1CVjPcjQYVNyuQAV52LqDP+MMjnYMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:22:08.420026Z","bundle_sha256":"1ffeb79645b2cca6628d81d3a4ba58a5e47e60876d3c6406d1e95cee9e016da7"}}