{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KV4TGDR2E5U7GM4OWWGAOK44YY","short_pith_number":"pith:KV4TGDR2","schema_version":"1.0","canonical_sha256":"5579330e3a2769f3338eb58c072b9cc628b5c0d4e7a0db021a5a8e5f25e3bac7","source":{"kind":"arxiv","id":"2504.15040","version":2},"attestation_state":"computed","paper":{"title":"The PHD/CPHD filter for Multiple Extended Target Tracking with Trajectory Set Theory and Explicit Shape Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Fu Jie, Tat-Soon Yeo, Wei Zhang, Yuanhao Cheng, Yunhe Cao","submitted_at":"2025-04-21T11:49:22Z","abstract_excerpt":"In this paper, we propose two methods for tracking multiple extended targets or unresolved group targets with elliptical extent shape. These two methods are deduced from the famous Probability Hypothesis Density (PHD) filter and the Cardinality-PHD (CPHD) filter, respectively. In these two methods, Trajectory Set Theory (TST) is combined to establish the target trajectory estimates. Moreover, by employing a decoupled shape estimation model, the proposed methods can explicitly provide the shape estimation of the target, such as the orientation of the ellipse extension and the length of its two "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2504.15040","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2025-04-21T11:49:22Z","cross_cats_sorted":[],"title_canon_sha256":"b953441ecde8653695b0b254959c2ec52c0ccd154182a2957e2998027efa9e6d","abstract_canon_sha256":"eb0b3665d2ea4ff87ed04dcf24589aa0af4d792a37051237e6a79e9281033e72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:06:55.742640Z","signature_b64":"XKlB01yNG+IZROJW72boo1U2sbH9Dxhuwaf10X3p9BzZuS5piJ7Hd2sSbfs4yX/maSZs2Zdur9cgU1dLKluyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5579330e3a2769f3338eb58c072b9cc628b5c0d4e7a0db021a5a8e5f25e3bac7","last_reissued_at":"2026-07-05T11:06:55.742150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:06:55.742150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The PHD/CPHD filter for Multiple Extended Target Tracking with Trajectory Set Theory and Explicit Shape Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Fu Jie, Tat-Soon Yeo, Wei Zhang, Yuanhao Cheng, Yunhe Cao","submitted_at":"2025-04-21T11:49:22Z","abstract_excerpt":"In this paper, we propose two methods for tracking multiple extended targets or unresolved group targets with elliptical extent shape. These two methods are deduced from the famous Probability Hypothesis Density (PHD) filter and the Cardinality-PHD (CPHD) filter, respectively. In these two methods, Trajectory Set Theory (TST) is combined to establish the target trajectory estimates. Moreover, by employing a decoupled shape estimation model, the proposed methods can explicitly provide the shape estimation of the target, such as the orientation of the ellipse extension and the length of its two "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15040","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.15040/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2504.15040","created_at":"2026-07-05T11:06:55.742207+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.15040v2","created_at":"2026-07-05T11:06:55.742207+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15040","created_at":"2026-07-05T11:06:55.742207+00:00"},{"alias_kind":"pith_short_12","alias_value":"KV4TGDR2E5U7","created_at":"2026-07-05T11:06:55.742207+00:00"},{"alias_kind":"pith_short_16","alias_value":"KV4TGDR2E5U7GM4O","created_at":"2026-07-05T11:06:55.742207+00:00"},{"alias_kind":"pith_short_8","alias_value":"KV4TGDR2","created_at":"2026-07-05T11:06:55.742207+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY","json":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY.json","graph_json":"https://pith.science/api/pith-number/KV4TGDR2E5U7GM4OWWGAOK44YY/graph.json","events_json":"https://pith.science/api/pith-number/KV4TGDR2E5U7GM4OWWGAOK44YY/events.json","paper":"https://pith.science/paper/KV4TGDR2"},"agent_actions":{"view_html":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY","download_json":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY.json","view_paper":"https://pith.science/paper/KV4TGDR2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.15040&json=true","fetch_graph":"https://pith.science/api/pith-number/KV4TGDR2E5U7GM4OWWGAOK44YY/graph.json","fetch_events":"https://pith.science/api/pith-number/KV4TGDR2E5U7GM4OWWGAOK44YY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY/action/storage_attestation","attest_author":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY/action/author_attestation","sign_citation":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY/action/citation_signature","submit_replication":"https://pith.science/pith/KV4TGDR2E5U7GM4OWWGAOK44YY/action/replication_record"}},"created_at":"2026-07-05T11:06:55.742207+00:00","updated_at":"2026-07-05T11:06:55.742207+00:00"}