{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:B6KDHVXE6ZVBPD4PYWJDLDMIYW","short_pith_number":"pith:B6KDHVXE","schema_version":"1.0","canonical_sha256":"0f9433d6e4f66a178f8fc592358d88c5af955d1c241c36f98b5290824d051dfd","source":{"kind":"arxiv","id":"1405.0963","version":1},"attestation_state":"computed","paper":{"title":"Many-Broadcast Channels: Definition and Capacity in the Degraded Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dongning Guo, Tsung-Yi Chen, Xu Chen","submitted_at":"2014-05-05T16:56:16Z","abstract_excerpt":"Classical multiuser information theory studies the fundamental limits of models with a fixed (often small) number of users as the coding blocklength goes to infinity. Motivated by emerging systems with a massive number of users, this paper studies the new {\\em many-user paradigm}, where the number of users is allowed to grow with the blocklength. The focus of this paper is the degraded many-broadcast channel model, whose number of users may grow as fast as linearly with the blocklength. A notion of capacity in terms of message length is defined and an example of Gaussian degraded many-broadcas"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1405.0963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-05T16:56:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5808de193c12ad86bcaad39489cd5b92464747e21d56ed39455acd202997c942","abstract_canon_sha256":"395e3e4979ca1465bdba1a2e3552e34b234cd9a97adb4ec9d0adae66cc1e3d7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:40.346979Z","signature_b64":"P+2OwHQjyRckUyCAmZjkD+BH6563KN8kydQmL3cCaIKOU+12dKsqUZD59+KO1wcEyxjEpROgC4mjXzQ8razXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f9433d6e4f66a178f8fc592358d88c5af955d1c241c36f98b5290824d051dfd","last_reissued_at":"2026-05-18T02:52:40.346560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:40.346560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Many-Broadcast Channels: Definition and Capacity in the Degraded Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dongning Guo, Tsung-Yi Chen, Xu Chen","submitted_at":"2014-05-05T16:56:16Z","abstract_excerpt":"Classical multiuser information theory studies the fundamental limits of models with a fixed (often small) number of users as the coding blocklength goes to infinity. Motivated by emerging systems with a massive number of users, this paper studies the new {\\em many-user paradigm}, where the number of users is allowed to grow with the blocklength. The focus of this paper is the degraded many-broadcast channel model, whose number of users may grow as fast as linearly with the blocklength. A notion of capacity in terms of message length is defined and an example of Gaussian degraded many-broadcas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0963","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1405.0963","created_at":"2026-05-18T02:52:40.346625+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0963v1","created_at":"2026-05-18T02:52:40.346625+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0963","created_at":"2026-05-18T02:52:40.346625+00:00"},{"alias_kind":"pith_short_12","alias_value":"B6KDHVXE6ZVB","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"B6KDHVXE6ZVBPD4P","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"B6KDHVXE","created_at":"2026-05-18T12:28:22.404517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW","json":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW.json","graph_json":"https://pith.science/api/pith-number/B6KDHVXE6ZVBPD4PYWJDLDMIYW/graph.json","events_json":"https://pith.science/api/pith-number/B6KDHVXE6ZVBPD4PYWJDLDMIYW/events.json","paper":"https://pith.science/paper/B6KDHVXE"},"agent_actions":{"view_html":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW","download_json":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW.json","view_paper":"https://pith.science/paper/B6KDHVXE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0963&json=true","fetch_graph":"https://pith.science/api/pith-number/B6KDHVXE6ZVBPD4PYWJDLDMIYW/graph.json","fetch_events":"https://pith.science/api/pith-number/B6KDHVXE6ZVBPD4PYWJDLDMIYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW/action/storage_attestation","attest_author":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW/action/author_attestation","sign_citation":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW/action/citation_signature","submit_replication":"https://pith.science/pith/B6KDHVXE6ZVBPD4PYWJDLDMIYW/action/replication_record"}},"created_at":"2026-05-18T02:52:40.346625+00:00","updated_at":"2026-05-18T02:52:40.346625+00:00"}