{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VTFQLSE2DKBI73MJDXCSUCVPZA","short_pith_number":"pith:VTFQLSE2","canonical_record":{"source":{"id":"1409.2592","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-09T04:24:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e090401173656cb7fa7df36c768e2240acb5d1c9e1af82285f779e647d2db675","abstract_canon_sha256":"3eedf2224a69565b67e888a3c17d28975b0bd832efb11806f6881efd0ae0314d"},"schema_version":"1.0"},"canonical_sha256":"accb05c89a1a828fed891dc52a0aafc81227ebed312b92c2736f2756f62067e9","source":{"kind":"arxiv","id":"1409.2592","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2592","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2592v1","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2592","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"VTFQLSE2DKBI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VTFQLSE2DKBI73MJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VTFQLSE2","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VTFQLSE2DKBI73MJDXCSUCVPZA","target":"record","payload":{"canonical_record":{"source":{"id":"1409.2592","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-09T04:24:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e090401173656cb7fa7df36c768e2240acb5d1c9e1af82285f779e647d2db675","abstract_canon_sha256":"3eedf2224a69565b67e888a3c17d28975b0bd832efb11806f6881efd0ae0314d"},"schema_version":"1.0"},"canonical_sha256":"accb05c89a1a828fed891dc52a0aafc81227ebed312b92c2736f2756f62067e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:10.203777Z","signature_b64":"etnnbAQOtXHgw7e1RxBxo/0sU54UU4XTZh8myHqcKk65n7nQvW1q1H0N4zYC+xFsCEso/ODdI30WgfmVLJ/LCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"accb05c89a1a828fed891dc52a0aafc81227ebed312b92c2736f2756f62067e9","last_reissued_at":"2026-05-18T02:43:10.203270Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:10.203270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.2592","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":"2026-05-18T02:43:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1aq5wtAmJkkSDNlNz0PCzGpe0E7vIx9wvwVTeP0bNvq7oCQeRPdCFiZBoLtksszJ0JLi9IWmFLdaWnvy5vg+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:20:36.776931Z"},"content_sha256":"c539d15d877fa2c4fb99a36ff6c5d2c42b31150af696ccc4a51788c3aeac172d","schema_version":"1.0","event_id":"sha256:c539d15d877fa2c4fb99a36ff6c5d2c42b31150af696ccc4a51788c3aeac172d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VTFQLSE2DKBI73MJDXCSUCVPZA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Spatial Capacity of Wireless Ad Hoc Networks with Threshold Based Scheduling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Lingjie Duan, Rui Zhang, Yi Gong, Yue Ling Che","submitted_at":"2014-09-09T04:24:44Z","abstract_excerpt":"This paper studies spatial capacity in a stochastic wireless ad hoc network, where multi-stage probing and data transmission are sequentially performed. We propose a novel signal-to-interference-ratio (SIR) threshold based scheduling scheme, where by starting with the first probing, each transmitter iteratively decides to further probe or stay idle, depending on whether the estimated SIR in the proceeding probing is larger or smaller than a predefined threshold. Although one can assume that the transmitters are initially deployed according to a homogeneous Poisson point process (PPP), the SIR "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2592","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":"2026-05-18T02:43:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EdlxRKxvHr+RczgzXhkRf9WxkCkWUau0Sv7wJM8F0LEOokaxl3Ao/JhvRflZvVcSJhbXhvO5kJsfWfNH4jRPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:20:36.777280Z"},"content_sha256":"c1c6c985298e70aeb08b99606bf15f2b072a966c314751a04128adaf3e8f581a","schema_version":"1.0","event_id":"sha256:c1c6c985298e70aeb08b99606bf15f2b072a966c314751a04128adaf3e8f581a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VTFQLSE2DKBI73MJDXCSUCVPZA/bundle.json","state_url":"https://pith.science/pith/VTFQLSE2DKBI73MJDXCSUCVPZA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VTFQLSE2DKBI73MJDXCSUCVPZA/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":"2026-06-28T09:20:36Z","links":{"resolver":"https://pith.science/pith/VTFQLSE2DKBI73MJDXCSUCVPZA","bundle":"https://pith.science/pith/VTFQLSE2DKBI73MJDXCSUCVPZA/bundle.json","state":"https://pith.science/pith/VTFQLSE2DKBI73MJDXCSUCVPZA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VTFQLSE2DKBI73MJDXCSUCVPZA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VTFQLSE2DKBI73MJDXCSUCVPZA","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":"3eedf2224a69565b67e888a3c17d28975b0bd832efb11806f6881efd0ae0314d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-09T04:24:44Z","title_canon_sha256":"e090401173656cb7fa7df36c768e2240acb5d1c9e1af82285f779e647d2db675"},"schema_version":"1.0","source":{"id":"1409.2592","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2592","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2592v1","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2592","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"VTFQLSE2DKBI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VTFQLSE2DKBI73MJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VTFQLSE2","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:c1c6c985298e70aeb08b99606bf15f2b072a966c314751a04128adaf3e8f581a","target":"graph","created_at":"2026-05-18T02:43:10Z","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 spatial capacity in a stochastic wireless ad hoc network, where multi-stage probing and data transmission are sequentially performed. We propose a novel signal-to-interference-ratio (SIR) threshold based scheduling scheme, where by starting with the first probing, each transmitter iteratively decides to further probe or stay idle, depending on whether the estimated SIR in the proceeding probing is larger or smaller than a predefined threshold. Although one can assume that the transmitters are initially deployed according to a homogeneous Poisson point process (PPP), the SIR ","authors_text":"Lingjie Duan, Rui Zhang, Yi Gong, Yue Ling Che","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-09T04:24:44Z","title":"On Spatial Capacity of Wireless Ad Hoc Networks with Threshold Based Scheduling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2592","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:c539d15d877fa2c4fb99a36ff6c5d2c42b31150af696ccc4a51788c3aeac172d","target":"record","created_at":"2026-05-18T02:43:10Z","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":"3eedf2224a69565b67e888a3c17d28975b0bd832efb11806f6881efd0ae0314d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-09T04:24:44Z","title_canon_sha256":"e090401173656cb7fa7df36c768e2240acb5d1c9e1af82285f779e647d2db675"},"schema_version":"1.0","source":{"id":"1409.2592","kind":"arxiv","version":1}},"canonical_sha256":"accb05c89a1a828fed891dc52a0aafc81227ebed312b92c2736f2756f62067e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"accb05c89a1a828fed891dc52a0aafc81227ebed312b92c2736f2756f62067e9","first_computed_at":"2026-05-18T02:43:10.203270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:10.203270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"etnnbAQOtXHgw7e1RxBxo/0sU54UU4XTZh8myHqcKk65n7nQvW1q1H0N4zYC+xFsCEso/ODdI30WgfmVLJ/LCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:10.203777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2592","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c539d15d877fa2c4fb99a36ff6c5d2c42b31150af696ccc4a51788c3aeac172d","sha256:c1c6c985298e70aeb08b99606bf15f2b072a966c314751a04128adaf3e8f581a"],"state_sha256":"58a896182703e87bb7cb57d1d2b5cb58815158944267750fb73ea03870211552"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKMRe6N2oYZJpoj4u7OzkRnObJxuuysGu/S3L3xu2w8kTVwsBRKDB4pbNltBVnRYneHOiPGJDs1eY4XkTOvtBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T09:20:36.779239Z","bundle_sha256":"ce02e378f1f96a250de712473947fb6f94319b7e181475a605ceb8a0718c901d"}}