{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:3MD7W6BU6KDX4J7YD2S6JUU2OL","short_pith_number":"pith:3MD7W6BU","canonical_record":{"source":{"id":"0905.3436","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-05-21T04:18:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3e697623dcc7049b083fc40b84b0d52a0322a53e0d10732dd8f0efaca8ccecb4","abstract_canon_sha256":"787ca256177863907c987501aba19de74db63570e4140cf4d1eff639e1f1d36a"},"schema_version":"1.0"},"canonical_sha256":"db07fb7834f2877e27f81ea5e4d29a72fd05066469af5f8c3ffa9a8fbca9b26c","source":{"kind":"arxiv","id":"0905.3436","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3436","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3436v2","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3436","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"pith_short_12","alias_value":"3MD7W6BU6KDX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3MD7W6BU6KDX4J7Y","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3MD7W6BU","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:3MD7W6BU6KDX4J7YD2S6JUU2OL","target":"record","payload":{"canonical_record":{"source":{"id":"0905.3436","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-05-21T04:18:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3e697623dcc7049b083fc40b84b0d52a0322a53e0d10732dd8f0efaca8ccecb4","abstract_canon_sha256":"787ca256177863907c987501aba19de74db63570e4140cf4d1eff639e1f1d36a"},"schema_version":"1.0"},"canonical_sha256":"db07fb7834f2877e27f81ea5e4d29a72fd05066469af5f8c3ffa9a8fbca9b26c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:55.684939Z","signature_b64":"P/B3VCJO9aH8chfPfKatE8WzPX6Y/2KSLsIyTxL6W2Cc7zZT5VP/o61br01Vw802NxBzDf3oGw+jh98qI5zFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db07fb7834f2877e27f81ea5e4d29a72fd05066469af5f8c3ffa9a8fbca9b26c","last_reissued_at":"2026-05-18T02:24:55.684177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:55.684177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.3436","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PHjdlM0IWdQ3ZacoF04PfGq5wLGV7MBiQZxDEIsm7eDt1kiitWJSKTnWifdgDX1BcMW1M3F0X6UXtfaSjXk5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:26:58.285475Z"},"content_sha256":"3a7b4d75190e7bc5039c941610a9a755419a73c9c6c29a78ebed3b19242c5556","schema_version":"1.0","event_id":"sha256:3a7b4d75190e7bc5039c941610a9a755419a73c9c6c29a78ebed3b19242c5556"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:3MD7W6BU6KDX4J7YD2S6JUU2OL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Active Learning and Supervised Transmission of Spectrum Sharing Based Cognitive Radios by Exploiting Hidden Primary Radio Feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Rui Zhang","submitted_at":"2009-05-21T04:18:42Z","abstract_excerpt":"This paper studies the wireless spectrum sharing between a pair of distributed primary radio (PR) and cognitive radio (CR) links. Assuming that the PR link adapts its transmit power and/or rate upon receiving an interference signal from the CR and such transmit adaptations are observable by the CR, this results in a new form of feedback from the PR to CR, refereed to as hidden PR feedback, whereby the CR learns the PR's strategy for transmit adaptations without the need of a dedicated feedback channel from the PR. In this paper, we exploit the hidden PR feedback to design new learning and tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3436","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kqjb8INHQ3n5ELGOXiM0Br+jvCWSccy7w4MQbNB8LK48SjgqLMFG0eyzldbzZbVczqoKaqT3gPTWaGbLFYCfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:26:58.286220Z"},"content_sha256":"63bb323541ea9f5fcd236e6bafb8d250427835266864030e15515702b92c07f8","schema_version":"1.0","event_id":"sha256:63bb323541ea9f5fcd236e6bafb8d250427835266864030e15515702b92c07f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL/bundle.json","state_url":"https://pith.science/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL/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":"2026-05-28T18:26:58Z","links":{"resolver":"https://pith.science/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL","bundle":"https://pith.science/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL/bundle.json","state":"https://pith.science/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3MD7W6BU6KDX4J7YD2S6JUU2OL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3MD7W6BU6KDX4J7YD2S6JUU2OL","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":"787ca256177863907c987501aba19de74db63570e4140cf4d1eff639e1f1d36a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-05-21T04:18:42Z","title_canon_sha256":"3e697623dcc7049b083fc40b84b0d52a0322a53e0d10732dd8f0efaca8ccecb4"},"schema_version":"1.0","source":{"id":"0905.3436","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3436","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3436v2","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3436","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"pith_short_12","alias_value":"3MD7W6BU6KDX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3MD7W6BU6KDX4J7Y","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3MD7W6BU","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:63bb323541ea9f5fcd236e6bafb8d250427835266864030e15515702b92c07f8","target":"graph","created_at":"2026-05-18T02:24:55Z","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":"This paper studies the wireless spectrum sharing between a pair of distributed primary radio (PR) and cognitive radio (CR) links. Assuming that the PR link adapts its transmit power and/or rate upon receiving an interference signal from the CR and such transmit adaptations are observable by the CR, this results in a new form of feedback from the PR to CR, refereed to as hidden PR feedback, whereby the CR learns the PR's strategy for transmit adaptations without the need of a dedicated feedback channel from the PR. In this paper, we exploit the hidden PR feedback to design new learning and tran","authors_text":"Rui Zhang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-05-21T04:18:42Z","title":"On Active Learning and Supervised Transmission of Spectrum Sharing Based Cognitive Radios by Exploiting Hidden Primary Radio Feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3436","kind":"arxiv","version":2},"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":"sha256:3a7b4d75190e7bc5039c941610a9a755419a73c9c6c29a78ebed3b19242c5556","target":"record","created_at":"2026-05-18T02:24:55Z","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":"787ca256177863907c987501aba19de74db63570e4140cf4d1eff639e1f1d36a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-05-21T04:18:42Z","title_canon_sha256":"3e697623dcc7049b083fc40b84b0d52a0322a53e0d10732dd8f0efaca8ccecb4"},"schema_version":"1.0","source":{"id":"0905.3436","kind":"arxiv","version":2}},"canonical_sha256":"db07fb7834f2877e27f81ea5e4d29a72fd05066469af5f8c3ffa9a8fbca9b26c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db07fb7834f2877e27f81ea5e4d29a72fd05066469af5f8c3ffa9a8fbca9b26c","first_computed_at":"2026-05-18T02:24:55.684177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:55.684177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P/B3VCJO9aH8chfPfKatE8WzPX6Y/2KSLsIyTxL6W2Cc7zZT5VP/o61br01Vw802NxBzDf3oGw+jh98qI5zFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:55.684939Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3436","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a7b4d75190e7bc5039c941610a9a755419a73c9c6c29a78ebed3b19242c5556","sha256:63bb323541ea9f5fcd236e6bafb8d250427835266864030e15515702b92c07f8"],"state_sha256":"8612264b39403d777653172d555924d23bd99c42c211d03ca17cf0b0307af50e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c1EIFkZGw6mRTI1zrk+EG6VSdr/wSapvsenMi860eXioDORCs1DoalmU0HVrrjfpbJvo/OWUiimc9A+in3TrBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:26:58.289842Z","bundle_sha256":"c89d48399c833075e15162be006d58a4b3b40db45bef2ecbc05d40474f86cdf0"}}