{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:U3WHGFBUMIFITL66XROLSBZB3N","short_pith_number":"pith:U3WHGFBU","canonical_record":{"source":{"id":"2502.08502","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-12T15:34:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d8e3f1a59437c98f061a6b59c4c222883e62f32e757d798208e4d3220b7c4b30","abstract_canon_sha256":"ca3755a31df9854bcdce553a390f8ab39d6868875ccb8ec236d8320fc29e19b8"},"schema_version":"1.0"},"canonical_sha256":"a6ec731434620a89afdebc5cb90721db4b555f9b6d50baa04c8232d38574518b","source":{"kind":"arxiv","id":"2502.08502","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.08502","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"2502.08502v1","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.08502","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"U3WHGFBUMIFI","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"U3WHGFBUMIFITL66","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"U3WHGFBU","created_at":"2026-07-05T10:13:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:U3WHGFBUMIFITL66XROLSBZB3N","target":"record","payload":{"canonical_record":{"source":{"id":"2502.08502","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-12T15:34:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d8e3f1a59437c98f061a6b59c4c222883e62f32e757d798208e4d3220b7c4b30","abstract_canon_sha256":"ca3755a31df9854bcdce553a390f8ab39d6868875ccb8ec236d8320fc29e19b8"},"schema_version":"1.0"},"canonical_sha256":"a6ec731434620a89afdebc5cb90721db4b555f9b6d50baa04c8232d38574518b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:13:23.939445Z","signature_b64":"1AnziqxPAwXHfgIm5hmWV0/K5t4zIDfuNryI4D3p3NFHe+YZgc/HKm169Ke+79V5HaCNp6CNFILN+abUGfLTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6ec731434620a89afdebc5cb90721db4b555f9b6d50baa04c8232d38574518b","last_reissued_at":"2026-07-05T10:13:23.938951Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:13:23.938951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.08502","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":"2026-07-05T10:13:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+2QINex4I+dWVd5eSVjfLaNJnNcCnA+JXujgkRx79hvvNL6d7zjE6EYnfPLfnakFgxx9O4ETHwNrKA8V23lOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T22:59:02.750373Z"},"content_sha256":"f9e7c5ccc95a01740680d92de5697af96a71c25dfc65d1451ad0760e079e4600","schema_version":"1.0","event_id":"sha256:f9e7c5ccc95a01740680d92de5697af96a71c25dfc65d1451ad0760e079e4600"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:U3WHGFBUMIFITL66XROLSBZB3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Fundamental Limits of Integrated Sensing and Communications Under Logarithmic Loss","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jun Chen, Lei Yu, Wen Tong, Wuxian Shi, Yiqun Ge, Yonglong Li","submitted_at":"2025-02-12T15:34:37Z","abstract_excerpt":"We study a unified information-theoretic framework for integrated sensing and communications (ISAC), applicable to both monostatic and bistatic sensing scenarios. Special attention is given to the case where the sensing receiver (Rx) is required to produce a \"soft\" estimate of the state sequence, with logarithmic loss serving as the performance metric. We derive lower and upper bounds on the capacity-distortion function, which delineates the fundamental tradeoff between communication rate and sensing distortion. These bounds coincide when the channel between the ISAC transmitter (Tx) and the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08502","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/2502.08502/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":"2026-07-05T10:13:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u+9yvpP2ervUWS/HNSh1khI9cz3WRXBQhI/gizpZ3ao8U3U7PzsDHz6RCN446wjzHsX+H/+5YqidVzXi0qnnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T22:59:02.750752Z"},"content_sha256":"647a5913fdec149858d13a05c746d5d1fbe8d0351e179a33100f7bb0c2bfabbf","schema_version":"1.0","event_id":"sha256:647a5913fdec149858d13a05c746d5d1fbe8d0351e179a33100f7bb0c2bfabbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3WHGFBUMIFITL66XROLSBZB3N/bundle.json","state_url":"https://pith.science/pith/U3WHGFBUMIFITL66XROLSBZB3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3WHGFBUMIFITL66XROLSBZB3N/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":"2026-08-20T22:59:02Z","links":{"resolver":"https://pith.science/pith/U3WHGFBUMIFITL66XROLSBZB3N","bundle":"https://pith.science/pith/U3WHGFBUMIFITL66XROLSBZB3N/bundle.json","state":"https://pith.science/pith/U3WHGFBUMIFITL66XROLSBZB3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3WHGFBUMIFITL66XROLSBZB3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:U3WHGFBUMIFITL66XROLSBZB3N","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":"ca3755a31df9854bcdce553a390f8ab39d6868875ccb8ec236d8320fc29e19b8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-12T15:34:37Z","title_canon_sha256":"d8e3f1a59437c98f061a6b59c4c222883e62f32e757d798208e4d3220b7c4b30"},"schema_version":"1.0","source":{"id":"2502.08502","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.08502","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"2502.08502v1","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.08502","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"U3WHGFBUMIFI","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"U3WHGFBUMIFITL66","created_at":"2026-07-05T10:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"U3WHGFBU","created_at":"2026-07-05T10:13:23Z"}],"graph_snapshots":[{"event_id":"sha256:647a5913fdec149858d13a05c746d5d1fbe8d0351e179a33100f7bb0c2bfabbf","target":"graph","created_at":"2026-07-05T10:13:23Z","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/2502.08502/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a unified information-theoretic framework for integrated sensing and communications (ISAC), applicable to both monostatic and bistatic sensing scenarios. Special attention is given to the case where the sensing receiver (Rx) is required to produce a \"soft\" estimate of the state sequence, with logarithmic loss serving as the performance metric. We derive lower and upper bounds on the capacity-distortion function, which delineates the fundamental tradeoff between communication rate and sensing distortion. These bounds coincide when the channel between the ISAC transmitter (Tx) and the c","authors_text":"Jun Chen, Lei Yu, Wen Tong, Wuxian Shi, Yiqun Ge, Yonglong Li","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-12T15:34:37Z","title":"On the Fundamental Limits of Integrated Sensing and Communications Under Logarithmic Loss"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08502","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:f9e7c5ccc95a01740680d92de5697af96a71c25dfc65d1451ad0760e079e4600","target":"record","created_at":"2026-07-05T10:13:23Z","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":"ca3755a31df9854bcdce553a390f8ab39d6868875ccb8ec236d8320fc29e19b8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-02-12T15:34:37Z","title_canon_sha256":"d8e3f1a59437c98f061a6b59c4c222883e62f32e757d798208e4d3220b7c4b30"},"schema_version":"1.0","source":{"id":"2502.08502","kind":"arxiv","version":1}},"canonical_sha256":"a6ec731434620a89afdebc5cb90721db4b555f9b6d50baa04c8232d38574518b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6ec731434620a89afdebc5cb90721db4b555f9b6d50baa04c8232d38574518b","first_computed_at":"2026-07-05T10:13:23.938951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:13:23.938951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1AnziqxPAwXHfgIm5hmWV0/K5t4zIDfuNryI4D3p3NFHe+YZgc/HKm169Ke+79V5HaCNp6CNFILN+abUGfLTBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:13:23.939445Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.08502","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9e7c5ccc95a01740680d92de5697af96a71c25dfc65d1451ad0760e079e4600","sha256:647a5913fdec149858d13a05c746d5d1fbe8d0351e179a33100f7bb0c2bfabbf"],"state_sha256":"e572669226a867b5a53cc9e1a70c93ef831f7ad6411c723e7615749f293f4862"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PATnLv1KifYHzOUPlVXIDXI2u91cVPHbvLvA13dzKElB+ZWSVFmrRHH5z/wPTOzvdSQdtRASAGzsDbMyjWueDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T22:59:02.753122Z","bundle_sha256":"fe284b528c35e39c85fec19533e6fe1806cb769a6670f84420506b687977ecbf"}}