{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:22HHAPZMVDY77UHQPUUER4HL4V","short_pith_number":"pith:22HHAPZM","canonical_record":{"source":{"id":"2505.21456","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-05-27T17:29:20Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"229fa7a880c324661d17564d303f3156fc648e79de0530ec7d380ff82858de22","abstract_canon_sha256":"247c392ba5cce1a1f950027d5fb9c60e31144d9b513d2a6b0e61f4e1a24ffbc9"},"schema_version":"1.0"},"canonical_sha256":"d68e703f2ca8f1ffd0f07d2848f0ebe578874b43406d65368a0b183f3f2a6f36","source":{"kind":"arxiv","id":"2505.21456","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.21456","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"arxiv_version","alias_value":"2505.21456v1","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21456","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"pith_short_12","alias_value":"22HHAPZMVDY7","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"pith_short_16","alias_value":"22HHAPZMVDY77UHQ","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"pith_short_8","alias_value":"22HHAPZM","created_at":"2026-07-05T11:10:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:22HHAPZMVDY77UHQPUUER4HL4V","target":"record","payload":{"canonical_record":{"source":{"id":"2505.21456","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-05-27T17:29:20Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"229fa7a880c324661d17564d303f3156fc648e79de0530ec7d380ff82858de22","abstract_canon_sha256":"247c392ba5cce1a1f950027d5fb9c60e31144d9b513d2a6b0e61f4e1a24ffbc9"},"schema_version":"1.0"},"canonical_sha256":"d68e703f2ca8f1ffd0f07d2848f0ebe578874b43406d65368a0b183f3f2a6f36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:10:42.216756Z","signature_b64":"NkUUKjz9ZZQY0MPKaW9H0VNTyrkGUJvatFfJzxB9bM6b0qsJW7Lug0UzLnIX4Zqf465kswohZLDhqS0JZdMVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d68e703f2ca8f1ffd0f07d2848f0ebe578874b43406d65368a0b183f3f2a6f36","last_reissued_at":"2026-07-05T11:10:42.216203Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:10:42.216203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.21456","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":"2026-07-05T11:10:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sdiRuHGZmXKUS+ChR9uON1xu//NF8o9XpwU0KVOgBmStrK/Lj7HrhdZf6Xt14wLAitFBB6rmJDSePcdukFlPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:08:49.411429Z"},"content_sha256":"183480dced23a3b838b8b11a3fc0608de635d2682fc97d41d9ddb2eb53dba502","schema_version":"1.0","event_id":"sha256:183480dced23a3b838b8b11a3fc0608de635d2682fc97d41d9ddb2eb53dba502"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:22HHAPZMVDY77UHQPUUER4HL4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distribution Bounds on the Conditional ROC in a Poisson Field of Interferers and Clutters","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["eess.SP","math.IT"],"primary_cat":"cs.IT","authors_text":"Gourab Ghatak","submitted_at":"2025-05-27T17:29:20Z","abstract_excerpt":"We present a novel analytical framework to characterize the distribution of the conditional receiver operating characteristic (ROC) in radar systems operating within a realization of a Poisson field of interferers and clutters. While conventional stochastic geometry based studies focus on the distribution of signal to interference and noise ratio (SINR), they fail to capture the statistical variations in detection and false-alarm performance across different network realizations. By leveraging higher-order versions of the Campbell-Mecke theorem and tools from stochastic geometry, we derive clo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21456","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.21456/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:10:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ETdKSmA0UGJRzhssVDhwkSdZO9lE7WXIFD2D++/MJhguJZsSTJqne870KhJA0gJRaPwJIwrKdMIFBjYybg/jCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:08:49.412167Z"},"content_sha256":"0977e9a961409464edf39b9c93cdc964a96a61cf779e6d10b12b63fc00037f9f","schema_version":"1.0","event_id":"sha256:0977e9a961409464edf39b9c93cdc964a96a61cf779e6d10b12b63fc00037f9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22HHAPZMVDY77UHQPUUER4HL4V/bundle.json","state_url":"https://pith.science/pith/22HHAPZMVDY77UHQPUUER4HL4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22HHAPZMVDY77UHQPUUER4HL4V/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":"2026-08-09T22:08:49Z","links":{"resolver":"https://pith.science/pith/22HHAPZMVDY77UHQPUUER4HL4V","bundle":"https://pith.science/pith/22HHAPZMVDY77UHQPUUER4HL4V/bundle.json","state":"https://pith.science/pith/22HHAPZMVDY77UHQPUUER4HL4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22HHAPZMVDY77UHQPUUER4HL4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:22HHAPZMVDY77UHQPUUER4HL4V","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":"247c392ba5cce1a1f950027d5fb9c60e31144d9b513d2a6b0e61f4e1a24ffbc9","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-05-27T17:29:20Z","title_canon_sha256":"229fa7a880c324661d17564d303f3156fc648e79de0530ec7d380ff82858de22"},"schema_version":"1.0","source":{"id":"2505.21456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.21456","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"arxiv_version","alias_value":"2505.21456v1","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21456","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"pith_short_12","alias_value":"22HHAPZMVDY7","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"pith_short_16","alias_value":"22HHAPZMVDY77UHQ","created_at":"2026-07-05T11:10:42Z"},{"alias_kind":"pith_short_8","alias_value":"22HHAPZM","created_at":"2026-07-05T11:10:42Z"}],"graph_snapshots":[{"event_id":"sha256:0977e9a961409464edf39b9c93cdc964a96a61cf779e6d10b12b63fc00037f9f","target":"graph","created_at":"2026-07-05T11:10:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.21456/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a novel analytical framework to characterize the distribution of the conditional receiver operating characteristic (ROC) in radar systems operating within a realization of a Poisson field of interferers and clutters. While conventional stochastic geometry based studies focus on the distribution of signal to interference and noise ratio (SINR), they fail to capture the statistical variations in detection and false-alarm performance across different network realizations. By leveraging higher-order versions of the Campbell-Mecke theorem and tools from stochastic geometry, we derive clo","authors_text":"Gourab Ghatak","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-05-27T17:29:20Z","title":"Distribution Bounds on the Conditional ROC in a Poisson Field of Interferers and Clutters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21456","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":"sha256:183480dced23a3b838b8b11a3fc0608de635d2682fc97d41d9ddb2eb53dba502","target":"record","created_at":"2026-07-05T11:10:42Z","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":"247c392ba5cce1a1f950027d5fb9c60e31144d9b513d2a6b0e61f4e1a24ffbc9","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-05-27T17:29:20Z","title_canon_sha256":"229fa7a880c324661d17564d303f3156fc648e79de0530ec7d380ff82858de22"},"schema_version":"1.0","source":{"id":"2505.21456","kind":"arxiv","version":1}},"canonical_sha256":"d68e703f2ca8f1ffd0f07d2848f0ebe578874b43406d65368a0b183f3f2a6f36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d68e703f2ca8f1ffd0f07d2848f0ebe578874b43406d65368a0b183f3f2a6f36","first_computed_at":"2026-07-05T11:10:42.216203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:10:42.216203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NkUUKjz9ZZQY0MPKaW9H0VNTyrkGUJvatFfJzxB9bM6b0qsJW7Lug0UzLnIX4Zqf465kswohZLDhqS0JZdMVDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:10:42.216756Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.21456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:183480dced23a3b838b8b11a3fc0608de635d2682fc97d41d9ddb2eb53dba502","sha256:0977e9a961409464edf39b9c93cdc964a96a61cf779e6d10b12b63fc00037f9f"],"state_sha256":"8e30a9a8dc5ea5c84bee72744b9a017f6ae7f69325dfd9c3b57b62d6dd48d72d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWRHlcYjtaPdyZKnY3PTn8ZEjjh3p/ovJOUJnV96Vj8bzZKuhnigrSNsrnj2JyItbs5tyLHYNCpd/heCDJZiBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:08:49.417305Z","bundle_sha256":"142ed9fee877ae03e4295477c12bdc2ee6b42e5d962174a2ecc53a8f0066da32"}}