{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VR4F6PA2CQR2EGNKKYNLQIRF2I","short_pith_number":"pith:VR4F6PA2","canonical_record":{"source":{"id":"1304.4199","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-15T18:46:17Z","cross_cats_sorted":["cs.GT","math.IT"],"title_canon_sha256":"15a4cb072a8a48058d564e73644c3df87beaf1a8020aa144fbecfcd901fb2077","abstract_canon_sha256":"990eb8a9e4b018ad5528ad21cff46dfc26358c850df86663e41c78a31568f8fa"},"schema_version":"1.0"},"canonical_sha256":"ac785f3c1a1423a219aa561ab82225d20153c3db237a359ffa476754c8f97ea9","source":{"kind":"arxiv","id":"1304.4199","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4199","created_at":"2026-05-18T03:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4199v1","created_at":"2026-05-18T03:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4199","created_at":"2026-05-18T03:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"VR4F6PA2CQR2","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VR4F6PA2CQR2EGNK","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VR4F6PA2","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VR4F6PA2CQR2EGNKKYNLQIRF2I","target":"record","payload":{"canonical_record":{"source":{"id":"1304.4199","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-15T18:46:17Z","cross_cats_sorted":["cs.GT","math.IT"],"title_canon_sha256":"15a4cb072a8a48058d564e73644c3df87beaf1a8020aa144fbecfcd901fb2077","abstract_canon_sha256":"990eb8a9e4b018ad5528ad21cff46dfc26358c850df86663e41c78a31568f8fa"},"schema_version":"1.0"},"canonical_sha256":"ac785f3c1a1423a219aa561ab82225d20153c3db237a359ffa476754c8f97ea9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:55.181239Z","signature_b64":"F2kEFIrgQbSz2ObQuB9hwjapwwnzaU8KD3ZeM5IMv6in+r33wwqyxuPWRxaBUHkQkg5m8mZPThNUTkQ+8DOKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac785f3c1a1423a219aa561ab82225d20153c3db237a359ffa476754c8f97ea9","last_reissued_at":"2026-05-18T03:27:55.180635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:55.180635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.4199","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":"2026-05-18T03:27:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wYK9YLhcH+gEke3eCb1/qDEcla3sEdulYPWU3F9GwjBXbrazLG0RcTMQEsL1nMm5H68WkirzU3jMu07wu34TDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:12:42.737176Z"},"content_sha256":"837c9836f563f909ac4c6507144aa9553df03fc32a388db48ecdf3b7a375c3bb","schema_version":"1.0","event_id":"sha256:837c9836f563f909ac4c6507144aa9553df03fc32a388db48ecdf3b7a375c3bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VR4F6PA2CQR2EGNKKYNLQIRF2I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Green Power Control in Cognitive Wireless Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","math.IT"],"primary_cat":"cs.IT","authors_text":"Gaoning He, Mael Le Treust, Samson Lasaulce, Yezekael Hayel","submitted_at":"2013-04-15T18:46:17Z","abstract_excerpt":"A decentralized network of cognitive and non-cognitive transmitters where each transmitter aims at maximizing his energy-efficiency is considered. The cognitive transmitters are assumed to be able to sense the transmit power of their non-cognitive counterparts and the former have a cost for sensing. The Stackelberg equilibrium analysis of this $2-$level hierarchical game is conducted, which allows us to better understand the effects of cognition on energy-efficiency. In particular, it is proven that the network energy-efficiency is maximized when only a given fraction of terminals are cognitiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4199","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":"2026-05-18T03:27:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W/yKKX/7lBpdohRFr3c9Y4pyfOrQrMHzxrvUAJZx1Yy2cGc3W8PJ88aO8hOdnGonsHNP4lJiL8CBYs9OjxzZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:12:42.737921Z"},"content_sha256":"403fd778befe7ed3cdda79e6fcfe57c6473c801eff28b2f82dfaae446d9069af","schema_version":"1.0","event_id":"sha256:403fd778befe7ed3cdda79e6fcfe57c6473c801eff28b2f82dfaae446d9069af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I/bundle.json","state_url":"https://pith.science/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I/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":"2026-06-10T07:12:42Z","links":{"resolver":"https://pith.science/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I","bundle":"https://pith.science/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I/bundle.json","state":"https://pith.science/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VR4F6PA2CQR2EGNKKYNLQIRF2I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VR4F6PA2CQR2EGNKKYNLQIRF2I","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":"990eb8a9e4b018ad5528ad21cff46dfc26358c850df86663e41c78a31568f8fa","cross_cats_sorted":["cs.GT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-15T18:46:17Z","title_canon_sha256":"15a4cb072a8a48058d564e73644c3df87beaf1a8020aa144fbecfcd901fb2077"},"schema_version":"1.0","source":{"id":"1304.4199","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4199","created_at":"2026-05-18T03:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4199v1","created_at":"2026-05-18T03:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4199","created_at":"2026-05-18T03:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"VR4F6PA2CQR2","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VR4F6PA2CQR2EGNK","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VR4F6PA2","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:403fd778befe7ed3cdda79e6fcfe57c6473c801eff28b2f82dfaae446d9069af","target":"graph","created_at":"2026-05-18T03:27:55Z","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":"A decentralized network of cognitive and non-cognitive transmitters where each transmitter aims at maximizing his energy-efficiency is considered. The cognitive transmitters are assumed to be able to sense the transmit power of their non-cognitive counterparts and the former have a cost for sensing. The Stackelberg equilibrium analysis of this $2-$level hierarchical game is conducted, which allows us to better understand the effects of cognition on energy-efficiency. In particular, it is proven that the network energy-efficiency is maximized when only a given fraction of terminals are cognitiv","authors_text":"Gaoning He, Mael Le Treust, Samson Lasaulce, Yezekael Hayel","cross_cats":["cs.GT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-15T18:46:17Z","title":"Green Power Control in Cognitive Wireless Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4199","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":"sha256:837c9836f563f909ac4c6507144aa9553df03fc32a388db48ecdf3b7a375c3bb","target":"record","created_at":"2026-05-18T03:27:55Z","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":"990eb8a9e4b018ad5528ad21cff46dfc26358c850df86663e41c78a31568f8fa","cross_cats_sorted":["cs.GT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-15T18:46:17Z","title_canon_sha256":"15a4cb072a8a48058d564e73644c3df87beaf1a8020aa144fbecfcd901fb2077"},"schema_version":"1.0","source":{"id":"1304.4199","kind":"arxiv","version":1}},"canonical_sha256":"ac785f3c1a1423a219aa561ab82225d20153c3db237a359ffa476754c8f97ea9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac785f3c1a1423a219aa561ab82225d20153c3db237a359ffa476754c8f97ea9","first_computed_at":"2026-05-18T03:27:55.180635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:55.180635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F2kEFIrgQbSz2ObQuB9hwjapwwnzaU8KD3ZeM5IMv6in+r33wwqyxuPWRxaBUHkQkg5m8mZPThNUTkQ+8DOKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:55.181239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4199","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:837c9836f563f909ac4c6507144aa9553df03fc32a388db48ecdf3b7a375c3bb","sha256:403fd778befe7ed3cdda79e6fcfe57c6473c801eff28b2f82dfaae446d9069af"],"state_sha256":"674c28524155ef3ecdfed97c430e80fd30f466ee9e03547e20f17f7626a233fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lcXUhffTt2Ra+DwU18tdE1KnYBHgN8WegcaUX0PLTWRWcBgJzPZQOZSdO0PSlNyQZ0jGPrtJLEiPt44PXf7VDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T07:12:42.742046Z","bundle_sha256":"846f2a8454a419dcbfcb16e1bf3700a97ffab13ecb9f1dffa21d214bc7924d8c"}}