{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:O5KU3XWRHWSTN2UTCYF4XTFVQ7","short_pith_number":"pith:O5KU3XWR","schema_version":"1.0","canonical_sha256":"77554dded13da536ea93160bcbccb587ea1a9966249ee7a2e334f47d4ac203ba","source":{"kind":"arxiv","id":"1010.5661","version":2},"attestation_state":"computed","paper":{"title":"The Wideband Slope of Interference Channels: The Large Bandwidth Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anders H{\\o}st-Madsen, Minqi Shen","submitted_at":"2010-10-27T12:03:31Z","abstract_excerpt":"It is well known that minimum received energy per bit in the interference channel is -1.59dB as if there were no interference. Thus, the best way to mitigate interference is to operate the interference channel in the low-SNR regime. However, when the SNR is small but non-zero, minimum energy per bit alone does not characterize performance. Verdu introduced the wideband slope S_0 to characterize the performance in this regime. We show that a wideband slope of S_0/S_{0,no interference}=1/2 is achievable. This result is similar to recent results on degrees of freedom in the high SNR regime, and w"},"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":"1010.5661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-27T12:03:31Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"868955f646cdb14b3498dff11e25c5207a7071d4ec6b55a7c1406bac69847aff","abstract_canon_sha256":"0f8ca76ecae6f16c345fcdfaab7448673b02e31545a66280f170e88ba50a4206"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:24.494978Z","signature_b64":"V3LaeXxlBD/pxSrsBJMFbgRlI+/GCrHZk6oC/bls18iOIjx8bEJbxasQKsQaBCIJtxeib6H/JnVBsC3ACEuTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77554dded13da536ea93160bcbccb587ea1a9966249ee7a2e334f47d4ac203ba","last_reissued_at":"2026-05-18T04:08:24.494400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:24.494400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Wideband Slope of Interference Channels: The Large Bandwidth Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anders H{\\o}st-Madsen, Minqi Shen","submitted_at":"2010-10-27T12:03:31Z","abstract_excerpt":"It is well known that minimum received energy per bit in the interference channel is -1.59dB as if there were no interference. Thus, the best way to mitigate interference is to operate the interference channel in the low-SNR regime. However, when the SNR is small but non-zero, minimum energy per bit alone does not characterize performance. Verdu introduced the wideband slope S_0 to characterize the performance in this regime. We show that a wideband slope of S_0/S_{0,no interference}=1/2 is achievable. This result is similar to recent results on degrees of freedom in the high SNR regime, and w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5661","kind":"arxiv","version":2},"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":"1010.5661","created_at":"2026-05-18T04:08:24.494503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.5661v2","created_at":"2026-05-18T04:08:24.494503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5661","created_at":"2026-05-18T04:08:24.494503+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5KU3XWRHWST","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5KU3XWRHWSTN2UT","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5KU3XWR","created_at":"2026-05-18T12:26:12.377268+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/O5KU3XWRHWSTN2UTCYF4XTFVQ7","json":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7.json","graph_json":"https://pith.science/api/pith-number/O5KU3XWRHWSTN2UTCYF4XTFVQ7/graph.json","events_json":"https://pith.science/api/pith-number/O5KU3XWRHWSTN2UTCYF4XTFVQ7/events.json","paper":"https://pith.science/paper/O5KU3XWR"},"agent_actions":{"view_html":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7","download_json":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7.json","view_paper":"https://pith.science/paper/O5KU3XWR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.5661&json=true","fetch_graph":"https://pith.science/api/pith-number/O5KU3XWRHWSTN2UTCYF4XTFVQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/O5KU3XWRHWSTN2UTCYF4XTFVQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7/action/storage_attestation","attest_author":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7/action/author_attestation","sign_citation":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7/action/citation_signature","submit_replication":"https://pith.science/pith/O5KU3XWRHWSTN2UTCYF4XTFVQ7/action/replication_record"}},"created_at":"2026-05-18T04:08:24.494503+00:00","updated_at":"2026-05-18T04:08:24.494503+00:00"}