{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BUSRHG3VREHYBM7MDOJM4OZQVY","short_pith_number":"pith:BUSRHG3V","canonical_record":{"source":{"id":"1206.6302","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T15:15:39Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"36c5efd6ec327a1ef59492c4d1f3a36d72d9a5ed811caa1990bf88e0c6390995","abstract_canon_sha256":"46cceb86fb0cf51d89269e03d964be3ba113135e8fdcb8086298884680f8d20f"},"schema_version":"1.0"},"canonical_sha256":"0d25139b75890f80b3ec1b92ce3b30ae18eaaa74200b3cc3389b418934632928","source":{"kind":"arxiv","id":"1206.6302","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6302","created_at":"2026-05-18T02:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6302v4","created_at":"2026-05-18T02:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6302","created_at":"2026-05-18T02:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"BUSRHG3VREHY","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BUSRHG3VREHYBM7M","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BUSRHG3V","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BUSRHG3VREHYBM7MDOJM4OZQVY","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6302","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T15:15:39Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"36c5efd6ec327a1ef59492c4d1f3a36d72d9a5ed811caa1990bf88e0c6390995","abstract_canon_sha256":"46cceb86fb0cf51d89269e03d964be3ba113135e8fdcb8086298884680f8d20f"},"schema_version":"1.0"},"canonical_sha256":"0d25139b75890f80b3ec1b92ce3b30ae18eaaa74200b3cc3389b418934632928","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:03.693759Z","signature_b64":"T5SQtgDoJkcwibYRtGY366TF3AfIwqUylHVLGqXhwwrTcG7YMy+QQbHiVfg2Cq2fcu16Bc4oRLMJgUmWNqnVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d25139b75890f80b3ec1b92ce3b30ae18eaaa74200b3cc3389b418934632928","last_reissued_at":"2026-05-18T02:50:03.693089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:03.693089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6302","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fxpPUo1TFjSXrijG5XCHW/StqlLHmVZcy6Y2M6cTLXKmqbmVqASjC/yasmErjpXf1E1L4bm+XDBsbD+ajtACBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:15:16.260388Z"},"content_sha256":"38179d7c7168f1fb65ec2d31b834a83498833aeef551298836855d734ac9a6d9","schema_version":"1.0","event_id":"sha256:38179d7c7168f1fb65ec2d31b834a83498833aeef551298836855d734ac9a6d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BUSRHG3VREHYBM7MDOJM4OZQVY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximum Secondary Stable Throughput of a Cooperative Secondary Transmitter-Receiver Pair: Protocol Design and Stability Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.IT"],"primary_cat":"cs.IT","authors_text":"Ahmed El Shafie, Amr El-Keyi, Mohamed Nafie, Tamer Khattab","submitted_at":"2012-06-27T15:15:39Z","abstract_excerpt":"In this paper, we investigate the impact of cooperation between a secondary transmitter-receiver pair and a primary transmitter (PT) on the maximum stable throughput of the primary-secondary network. Each transmitter, primary or secondary, has a buffer for storing its own traffic. In addition to its own buffer, the secondary transmitter (ST) has a buffer for storing a fraction of the undelivered primary packets due to channel impairments. Moreover, the secondary destination has a relaying queue for storing a fraction of the undelivered primary packets. In the proposed cooperative system, the S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6302","kind":"arxiv","version":4},"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":"2026-05-18T02:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jhghmXm0oGilrTSaZUoUTrhjR+rGzYpGuG1W63Odux/F+Tmf0tpnTpe9JxfVH8NMsmL3Hbc2NYuk8VVpcv0CBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:15:16.260731Z"},"content_sha256":"b904a44d98f5e71e9668f0fff5cb7eeea9c7cf32aad113856a253897b6b80aed","schema_version":"1.0","event_id":"sha256:b904a44d98f5e71e9668f0fff5cb7eeea9c7cf32aad113856a253897b6b80aed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BUSRHG3VREHYBM7MDOJM4OZQVY/bundle.json","state_url":"https://pith.science/pith/BUSRHG3VREHYBM7MDOJM4OZQVY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BUSRHG3VREHYBM7MDOJM4OZQVY/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":"2026-06-02T03:15:16Z","links":{"resolver":"https://pith.science/pith/BUSRHG3VREHYBM7MDOJM4OZQVY","bundle":"https://pith.science/pith/BUSRHG3VREHYBM7MDOJM4OZQVY/bundle.json","state":"https://pith.science/pith/BUSRHG3VREHYBM7MDOJM4OZQVY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BUSRHG3VREHYBM7MDOJM4OZQVY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BUSRHG3VREHYBM7MDOJM4OZQVY","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":"46cceb86fb0cf51d89269e03d964be3ba113135e8fdcb8086298884680f8d20f","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T15:15:39Z","title_canon_sha256":"36c5efd6ec327a1ef59492c4d1f3a36d72d9a5ed811caa1990bf88e0c6390995"},"schema_version":"1.0","source":{"id":"1206.6302","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6302","created_at":"2026-05-18T02:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6302v4","created_at":"2026-05-18T02:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6302","created_at":"2026-05-18T02:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"BUSRHG3VREHY","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BUSRHG3VREHYBM7M","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BUSRHG3V","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:b904a44d98f5e71e9668f0fff5cb7eeea9c7cf32aad113856a253897b6b80aed","target":"graph","created_at":"2026-05-18T02:50:03Z","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":"In this paper, we investigate the impact of cooperation between a secondary transmitter-receiver pair and a primary transmitter (PT) on the maximum stable throughput of the primary-secondary network. Each transmitter, primary or secondary, has a buffer for storing its own traffic. In addition to its own buffer, the secondary transmitter (ST) has a buffer for storing a fraction of the undelivered primary packets due to channel impairments. Moreover, the secondary destination has a relaying queue for storing a fraction of the undelivered primary packets. In the proposed cooperative system, the S","authors_text":"Ahmed El Shafie, Amr El-Keyi, Mohamed Nafie, Tamer Khattab","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T15:15:39Z","title":"Maximum Secondary Stable Throughput of a Cooperative Secondary Transmitter-Receiver Pair: Protocol Design and Stability Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6302","kind":"arxiv","version":4},"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":"sha256:38179d7c7168f1fb65ec2d31b834a83498833aeef551298836855d734ac9a6d9","target":"record","created_at":"2026-05-18T02:50:03Z","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":"46cceb86fb0cf51d89269e03d964be3ba113135e8fdcb8086298884680f8d20f","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-27T15:15:39Z","title_canon_sha256":"36c5efd6ec327a1ef59492c4d1f3a36d72d9a5ed811caa1990bf88e0c6390995"},"schema_version":"1.0","source":{"id":"1206.6302","kind":"arxiv","version":4}},"canonical_sha256":"0d25139b75890f80b3ec1b92ce3b30ae18eaaa74200b3cc3389b418934632928","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d25139b75890f80b3ec1b92ce3b30ae18eaaa74200b3cc3389b418934632928","first_computed_at":"2026-05-18T02:50:03.693089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:03.693089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T5SQtgDoJkcwibYRtGY366TF3AfIwqUylHVLGqXhwwrTcG7YMy+QQbHiVfg2Cq2fcu16Bc4oRLMJgUmWNqnVDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:03.693759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6302","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38179d7c7168f1fb65ec2d31b834a83498833aeef551298836855d734ac9a6d9","sha256:b904a44d98f5e71e9668f0fff5cb7eeea9c7cf32aad113856a253897b6b80aed"],"state_sha256":"871ee8410f06632725228528b9ec54ab39583693cb160ea55b9ab49f657ccfe1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wjLXBrUBJNWkaGB0Y6fvl56XayEgk+beuCPcYePhnHqaMkE3VHLTgLfy8slGsEzFp2kOikM6VzJlcBHQkhzuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:15:16.262620Z","bundle_sha256":"9e27e64198cfc1d3e9cfdd8281c0cadd27575d5d108de0317d047fa5dbaf1426"}}