{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NGUQ7G2LT6N7AYIOAXLBK4UKBD","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":"652e8e33ccd1c31841bae9f8f9e3a02bd40789d5b4932748efc0d08368157bd0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-26T09:49:21Z","title_canon_sha256":"3a168ccc05e82b3a3291a532d771124cb2eb701eefe096853be88f0b78e13c78"},"schema_version":"1.0","source":{"id":"1904.11742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11742","created_at":"2026-05-17T23:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11742v1","created_at":"2026-05-17T23:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11742","created_at":"2026-05-17T23:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"NGUQ7G2LT6N7","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NGUQ7G2LT6N7AYIO","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NGUQ7G2L","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:ffba0c47a172234f829e1725e2c70fd2226d91486b8f49f372c2f975839ec41e","target":"graph","created_at":"2026-05-17T23:47:41Z","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 a Gaussian multiple-access channel where the number of transmitters grows with the blocklength $n$. For this setup, the maximum number of bits that can be transmitted reliably per unit-energy is analyzed. We show that if the number of users is of an order strictly above $n/\\log n$, then the users cannot achieve any positive rate per unit-energy. In contrast, if the number of users is of order strictly below $n/\\log n$, then each user can achieve the single-user capacity per unit-energy $(\\log e)/N_0$ (where $N_0/ 2$ is the noise power) by using an orthogonal access scheme such as t","authors_text":"Jithin Ravi, Tobias Koch","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-26T09:49:21Z","title":"Capacity per Unit-Energy of Gaussian Many-Access Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11742","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:a02bb1c7428d7fc40facc047cfcd1e54776da3568a14723fa2a879d43c74bf25","target":"record","created_at":"2026-05-17T23:47:41Z","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":"652e8e33ccd1c31841bae9f8f9e3a02bd40789d5b4932748efc0d08368157bd0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-26T09:49:21Z","title_canon_sha256":"3a168ccc05e82b3a3291a532d771124cb2eb701eefe096853be88f0b78e13c78"},"schema_version":"1.0","source":{"id":"1904.11742","kind":"arxiv","version":1}},"canonical_sha256":"69a90f9b4b9f9bf0610e05d615728a08e02236e1dd1ad3bbe26a167e478adc2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69a90f9b4b9f9bf0610e05d615728a08e02236e1dd1ad3bbe26a167e478adc2d","first_computed_at":"2026-05-17T23:47:41.049763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:41.049763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hn+unFjur6ME2t295jYD6pQQgRlWA/a5OkngzCHKsAG9Z9KelPGmGaw1oZk17i8B94oO2C4+KqQq3nwy+6tDCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:41.050436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a02bb1c7428d7fc40facc047cfcd1e54776da3568a14723fa2a879d43c74bf25","sha256:ffba0c47a172234f829e1725e2c70fd2226d91486b8f49f372c2f975839ec41e"],"state_sha256":"9ec95a6be5addd503591777b354a8ffdc3460ed8045166b926a7dcdfdbb0fc53"}