{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:X6AQRQUIAETCMJD6RTT43UHOMO","short_pith_number":"pith:X6AQRQUI","canonical_record":{"source":{"id":"1307.4799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T22:26:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"205ef5043ac1b06d956b64951a4d3de7c6c608429f7162429f6e7fbff22a8189","abstract_canon_sha256":"815e9941d86ff31feaebc720e995842e101c62bb904e5276a237273c7bccee37"},"schema_version":"1.0"},"canonical_sha256":"bf8108c288012626247e8ce7cdd0ee63aed1d4c5f1e068e3587a816442da59c0","source":{"kind":"arxiv","id":"1307.4799","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4799","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4799v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4799","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"X6AQRQUIAETC","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X6AQRQUIAETCMJD6","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X6AQRQUI","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:X6AQRQUIAETCMJD6RTT43UHOMO","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T22:26:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"205ef5043ac1b06d956b64951a4d3de7c6c608429f7162429f6e7fbff22a8189","abstract_canon_sha256":"815e9941d86ff31feaebc720e995842e101c62bb904e5276a237273c7bccee37"},"schema_version":"1.0"},"canonical_sha256":"bf8108c288012626247e8ce7cdd0ee63aed1d4c5f1e068e3587a816442da59c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:56.283594Z","signature_b64":"LTm96u++uZ7z11zeUgwv37nAZNYHqw+RvV7vxVrrfvwQQa22eXPlbFy2GRBdzfY6aysUnyY5geGVVeIwNXtwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf8108c288012626247e8ce7cdd0ee63aed1d4c5f1e068e3587a816442da59c0","last_reissued_at":"2026-05-18T00:57:56.283139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:56.283139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4799","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":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKu0XpfATioR9a2YTjqiTmw2x3i2c9+PeVWQrItq6wshfXC6RQjpU/hnuqNIsDqPMe28oPnL9Av17TtNJBy8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:59:10.308249Z"},"content_sha256":"74ca4560699a21b31fe90d72771f71677b59418835659b29bbb1e339aefa7593","schema_version":"1.0","event_id":"sha256:74ca4560699a21b31fe90d72771f71677b59418835659b29bbb1e339aefa7593"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:X6AQRQUIAETCMJD6RTT43UHOMO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cooperative Relaying at Finite SNR -- Role of Quantize-Map-and-Forward","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ayan Sengupta, Christina Fragouli, I-Hsiang Wang","submitted_at":"2013-07-17T22:26:11Z","abstract_excerpt":"Quantize-Map-and-Forward (QMF) relaying has been shown to achieve the optimal diversity-multiplexing trade-off (DMT) for arbitrary slow fading full-duplex networks as well as for the single-relay half-duplex network. A key reason for this is that quantizing at the noise level suffices to achieve the cut-set bound approximately to within an additive gap, without any requirement of instantaneous channel state information (CSI). However, DMT only captures the high SNR performance and potentially, limited CSI at the relay can improve performance at moderate SNRs. In this work we propose an optimiz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4799","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":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uASD1pHtAHvD/Ati3WvR6+OtA77SccEXJxfSSUPjmOINRrga0lPo24ZBx46yd4ghc8qaSDWXPbwWbl55gTHYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:59:10.308906Z"},"content_sha256":"6eb986aa79887de868d118884fe083f0f732cd60e0b1e19a4668df501aa06077","schema_version":"1.0","event_id":"sha256:6eb986aa79887de868d118884fe083f0f732cd60e0b1e19a4668df501aa06077"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6AQRQUIAETCMJD6RTT43UHOMO/bundle.json","state_url":"https://pith.science/pith/X6AQRQUIAETCMJD6RTT43UHOMO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6AQRQUIAETCMJD6RTT43UHOMO/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":"2026-05-30T10:59:10Z","links":{"resolver":"https://pith.science/pith/X6AQRQUIAETCMJD6RTT43UHOMO","bundle":"https://pith.science/pith/X6AQRQUIAETCMJD6RTT43UHOMO/bundle.json","state":"https://pith.science/pith/X6AQRQUIAETCMJD6RTT43UHOMO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6AQRQUIAETCMJD6RTT43UHOMO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X6AQRQUIAETCMJD6RTT43UHOMO","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":"815e9941d86ff31feaebc720e995842e101c62bb904e5276a237273c7bccee37","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T22:26:11Z","title_canon_sha256":"205ef5043ac1b06d956b64951a4d3de7c6c608429f7162429f6e7fbff22a8189"},"schema_version":"1.0","source":{"id":"1307.4799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4799","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4799v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4799","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"X6AQRQUIAETC","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X6AQRQUIAETCMJD6","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X6AQRQUI","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:6eb986aa79887de868d118884fe083f0f732cd60e0b1e19a4668df501aa06077","target":"graph","created_at":"2026-05-18T00:57:56Z","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"},"paper":{"abstract_excerpt":"Quantize-Map-and-Forward (QMF) relaying has been shown to achieve the optimal diversity-multiplexing trade-off (DMT) for arbitrary slow fading full-duplex networks as well as for the single-relay half-duplex network. A key reason for this is that quantizing at the noise level suffices to achieve the cut-set bound approximately to within an additive gap, without any requirement of instantaneous channel state information (CSI). However, DMT only captures the high SNR performance and potentially, limited CSI at the relay can improve performance at moderate SNRs. In this work we propose an optimiz","authors_text":"Ayan Sengupta, Christina Fragouli, I-Hsiang Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T22:26:11Z","title":"Cooperative Relaying at Finite SNR -- Role of Quantize-Map-and-Forward"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4799","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":"sha256:74ca4560699a21b31fe90d72771f71677b59418835659b29bbb1e339aefa7593","target":"record","created_at":"2026-05-18T00:57:56Z","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":"815e9941d86ff31feaebc720e995842e101c62bb904e5276a237273c7bccee37","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T22:26:11Z","title_canon_sha256":"205ef5043ac1b06d956b64951a4d3de7c6c608429f7162429f6e7fbff22a8189"},"schema_version":"1.0","source":{"id":"1307.4799","kind":"arxiv","version":1}},"canonical_sha256":"bf8108c288012626247e8ce7cdd0ee63aed1d4c5f1e068e3587a816442da59c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf8108c288012626247e8ce7cdd0ee63aed1d4c5f1e068e3587a816442da59c0","first_computed_at":"2026-05-18T00:57:56.283139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:56.283139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LTm96u++uZ7z11zeUgwv37nAZNYHqw+RvV7vxVrrfvwQQa22eXPlbFy2GRBdzfY6aysUnyY5geGVVeIwNXtwAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:56.283594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74ca4560699a21b31fe90d72771f71677b59418835659b29bbb1e339aefa7593","sha256:6eb986aa79887de868d118884fe083f0f732cd60e0b1e19a4668df501aa06077"],"state_sha256":"8e95db8ea427b94dd71d23343038567e3a58cb605da176877191c937bc4b87fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"adBdL4gx0CHsf0bw0UNE/8Jae/OlLV0t+Db36PCvSeLFQ1Lb6ADUSslrdoCVLTCrZoaMWcwxqrzbogj2HrTrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:59:10.312163Z","bundle_sha256":"51391a2cb9347c06fb15c5b8522750d27c748f887e24ac4e9fd9ee43ad31a6db"}}