{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:K3WLOJQ3AUZ3AXVXUUSIWH472C","short_pith_number":"pith:K3WLOJQ3","canonical_record":{"source":{"id":"1706.03659","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-12T14:31:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4dbbfdc7ef3fba50f823b023ad3108bf5255063d4a63e49eac4926c19b62652","abstract_canon_sha256":"ebe78dc3178ef3e604e09ef90a40de1db4ac159ed059ac2539ba46f028c9af39"},"schema_version":"1.0"},"canonical_sha256":"56ecb7261b0533b05eb7a5248b1f9fd09cded3bfc2004a9525717b9190917b5a","source":{"kind":"arxiv","id":"1706.03659","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03659","created_at":"2026-05-18T00:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03659v6","created_at":"2026-05-18T00:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03659","created_at":"2026-05-18T00:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"K3WLOJQ3AUZ3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K3WLOJQ3AUZ3AXVX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K3WLOJQ3","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:K3WLOJQ3AUZ3AXVXUUSIWH472C","target":"record","payload":{"canonical_record":{"source":{"id":"1706.03659","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-12T14:31:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4dbbfdc7ef3fba50f823b023ad3108bf5255063d4a63e49eac4926c19b62652","abstract_canon_sha256":"ebe78dc3178ef3e604e09ef90a40de1db4ac159ed059ac2539ba46f028c9af39"},"schema_version":"1.0"},"canonical_sha256":"56ecb7261b0533b05eb7a5248b1f9fd09cded3bfc2004a9525717b9190917b5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:22.548106Z","signature_b64":"//tt2iBvhcigrOAi8L+Bp0du8ihIj83Xt0zkiCM04KCWN90oVlL9JKJVHU/phShbsXE8u9w8wOWmPslks+TODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56ecb7261b0533b05eb7a5248b1f9fd09cded3bfc2004a9525717b9190917b5a","last_reissued_at":"2026-05-18T00:14:22.547617Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:22.547617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.03659","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7xRVZUV1WvSjsbk9GwTszjUxuvk8x6TIXIJdmjEOt52N4Zs+lAr4rsyuic8Dk26psesREnfecyLC6tNB2bvWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T09:21:11.225204Z"},"content_sha256":"521debd58331e53fd3f953444f2a6ee91475df721abd8736148b10ed36c11995","schema_version":"1.0","event_id":"sha256:521debd58331e53fd3f953444f2a6ee91475df721abd8736148b10ed36c11995"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:K3WLOJQ3AUZ3AXVXUUSIWH472C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximate Capacity of Fast Fading Interference Channels with No Instantaneous CSIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Can Karakus, Joyson Sebastian, Suhas Diggavi","submitted_at":"2017-06-12T14:31:17Z","abstract_excerpt":"We develop a characterization of fading models, which assigns a number called logarithmic Jensen's gap to a given fading model. We show that as a consequence of a finite logarithmic Jensen's gap, approximate capacity region can be obtained for fast fading interference channels (FF-IC) for several scenarios. We illustrate three instances where a constant capacity gap can be obtained as a function of the logarithmic Jensen's gap. Firstly for an FF-IC with neither feedback nor instantaneous channel state information at transmitter (CSIT), if the fading distribution has finite logarithmic Jensen's"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03659","kind":"arxiv","version":6},"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":"2026-05-18T00:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6q1lJHyvXJjyR5/0c1xYmOKBw+o5s3dVMMtLlDqW9P+3zBKOTXdxB8c5ZdG4P/TxRF5C9FPIVw+pjJ0kLTYdBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T09:21:11.225559Z"},"content_sha256":"3d16fb3ea45cca94b1962e16dc89b83790b0199e50a986873e6ed1225788a969","schema_version":"1.0","event_id":"sha256:3d16fb3ea45cca94b1962e16dc89b83790b0199e50a986873e6ed1225788a969"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C/bundle.json","state_url":"https://pith.science/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C/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":"2026-07-07T09:21:11Z","links":{"resolver":"https://pith.science/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C","bundle":"https://pith.science/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C/bundle.json","state":"https://pith.science/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K3WLOJQ3AUZ3AXVXUUSIWH472C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K3WLOJQ3AUZ3AXVXUUSIWH472C","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":"ebe78dc3178ef3e604e09ef90a40de1db4ac159ed059ac2539ba46f028c9af39","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-12T14:31:17Z","title_canon_sha256":"f4dbbfdc7ef3fba50f823b023ad3108bf5255063d4a63e49eac4926c19b62652"},"schema_version":"1.0","source":{"id":"1706.03659","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03659","created_at":"2026-05-18T00:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03659v6","created_at":"2026-05-18T00:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03659","created_at":"2026-05-18T00:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"K3WLOJQ3AUZ3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K3WLOJQ3AUZ3AXVX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K3WLOJQ3","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:3d16fb3ea45cca94b1962e16dc89b83790b0199e50a986873e6ed1225788a969","target":"graph","created_at":"2026-05-18T00:14:22Z","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 develop a characterization of fading models, which assigns a number called logarithmic Jensen's gap to a given fading model. We show that as a consequence of a finite logarithmic Jensen's gap, approximate capacity region can be obtained for fast fading interference channels (FF-IC) for several scenarios. We illustrate three instances where a constant capacity gap can be obtained as a function of the logarithmic Jensen's gap. Firstly for an FF-IC with neither feedback nor instantaneous channel state information at transmitter (CSIT), if the fading distribution has finite logarithmic Jensen's","authors_text":"Can Karakus, Joyson Sebastian, Suhas Diggavi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-12T14:31:17Z","title":"Approximate Capacity of Fast Fading Interference Channels with No Instantaneous CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03659","kind":"arxiv","version":6},"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":"sha256:521debd58331e53fd3f953444f2a6ee91475df721abd8736148b10ed36c11995","target":"record","created_at":"2026-05-18T00:14:22Z","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":"ebe78dc3178ef3e604e09ef90a40de1db4ac159ed059ac2539ba46f028c9af39","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-12T14:31:17Z","title_canon_sha256":"f4dbbfdc7ef3fba50f823b023ad3108bf5255063d4a63e49eac4926c19b62652"},"schema_version":"1.0","source":{"id":"1706.03659","kind":"arxiv","version":6}},"canonical_sha256":"56ecb7261b0533b05eb7a5248b1f9fd09cded3bfc2004a9525717b9190917b5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56ecb7261b0533b05eb7a5248b1f9fd09cded3bfc2004a9525717b9190917b5a","first_computed_at":"2026-05-18T00:14:22.547617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:22.547617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"//tt2iBvhcigrOAi8L+Bp0du8ihIj83Xt0zkiCM04KCWN90oVlL9JKJVHU/phShbsXE8u9w8wOWmPslks+TODg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:22.548106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03659","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:521debd58331e53fd3f953444f2a6ee91475df721abd8736148b10ed36c11995","sha256:3d16fb3ea45cca94b1962e16dc89b83790b0199e50a986873e6ed1225788a969"],"state_sha256":"f50de5cbd0c2ca93e43b8ca92d9d8083c8cef7dfd02d61a1ee3f89e64368a113"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wc5arr2cOERbkso8cRbtAAmknUrv2tNZvNQ9Z5tfc1bo9s1CTjs4gISE8eYjlMxXsTz2uDTlyIv4JYXfN70MAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T09:21:11.227399Z","bundle_sha256":"e1efe644f0afa2c28a2e5b8db2d230eeea5233664fb4e5530197b9e750747d4f"}}