{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Q27FXXVI6H625IGE3CXXSH7NCK","short_pith_number":"pith:Q27FXXVI","canonical_record":{"source":{"id":"1205.3286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-15T08:12:53Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"63f39cc8d80f529a69aaf72553a6cf5e4d805bf7fa6aec5ed3e30f1e61071437","abstract_canon_sha256":"07ff3b3107355b3a2ffc50477cefee945da1a80e0f9800b54f51d5ad9748a634"},"schema_version":"1.0"},"canonical_sha256":"86be5bdea8f1fdaea0c4d8af791fed12a679e3f3ad2c2920e828614c997db689","source":{"kind":"arxiv","id":"1205.3286","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3286","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3286v1","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3286","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"Q27FXXVI6H62","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q27FXXVI6H625IGE","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q27FXXVI","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Q27FXXVI6H625IGE3CXXSH7NCK","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3286","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-15T08:12:53Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"63f39cc8d80f529a69aaf72553a6cf5e4d805bf7fa6aec5ed3e30f1e61071437","abstract_canon_sha256":"07ff3b3107355b3a2ffc50477cefee945da1a80e0f9800b54f51d5ad9748a634"},"schema_version":"1.0"},"canonical_sha256":"86be5bdea8f1fdaea0c4d8af791fed12a679e3f3ad2c2920e828614c997db689","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:36.419564Z","signature_b64":"kiwE25v3jEkwOocW23vCGf26AZ0JweTVvCng0wwnkv78hwM/LZjRpML0BfLkgMQj3xiI04/CxLVHKJBJkwrWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86be5bdea8f1fdaea0c4d8af791fed12a679e3f3ad2c2920e828614c997db689","last_reissued_at":"2026-05-18T03:55:36.418985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:36.418985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3286","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":"2026-05-18T03:55:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNS+AUj6Wy1cOIqWQeB2ipydujwj+JN6F523+++C6iYla4HqzMT5gQrlD99chVH5N3TCTCEjuZfG8fs5IesCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:01:18.562561Z"},"content_sha256":"b49d6ce4c53cba12b2fbabe1e42eb855a282c6d052f289a9d187ca2284d916b8","schema_version":"1.0","event_id":"sha256:b49d6ce4c53cba12b2fbabe1e42eb855a282c6d052f289a9d187ca2284d916b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Q27FXXVI6H625IGE3CXXSH7NCK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Linear Coherent Estimation with Spatial Collaboration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Pramod K. Varshney, Swarnendu Kar","submitted_at":"2012-05-15T08:12:53Z","abstract_excerpt":"We consider a power-constrained sensor network, consisting of multiple sensor nodes and a fusion center (FC), that is deployed for the purpose of estimating a common random parameter of interest. In contrast to the distributed framework, the sensor nodes are allowed to update their individual observations by (linearly) combining observations from neighboring nodes. The updated observations are communicated to the FC using an analog amplify-and-forward modulation scheme and through a coherent multiple access channel. The optimal collaborative strategy is obtained by minimizing the cumulative tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3286","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":"2026-05-18T03:55:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eZUNMQ5TUepfWRHmZ50INFyGPwVs9iwHkuOdrKI/Ju7Egvi+k+6ErUBRKsS0CsQsZ6QkbDzCa10Cbcl/6Q6jAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:01:18.563298Z"},"content_sha256":"b35cbf132c6c464a857e960db47e505d62248797317317bcf4161f3c3073391a","schema_version":"1.0","event_id":"sha256:b35cbf132c6c464a857e960db47e505d62248797317317bcf4161f3c3073391a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q27FXXVI6H625IGE3CXXSH7NCK/bundle.json","state_url":"https://pith.science/pith/Q27FXXVI6H625IGE3CXXSH7NCK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q27FXXVI6H625IGE3CXXSH7NCK/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":"2026-06-12T00:01:18Z","links":{"resolver":"https://pith.science/pith/Q27FXXVI6H625IGE3CXXSH7NCK","bundle":"https://pith.science/pith/Q27FXXVI6H625IGE3CXXSH7NCK/bundle.json","state":"https://pith.science/pith/Q27FXXVI6H625IGE3CXXSH7NCK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q27FXXVI6H625IGE3CXXSH7NCK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q27FXXVI6H625IGE3CXXSH7NCK","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":"07ff3b3107355b3a2ffc50477cefee945da1a80e0f9800b54f51d5ad9748a634","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-15T08:12:53Z","title_canon_sha256":"63f39cc8d80f529a69aaf72553a6cf5e4d805bf7fa6aec5ed3e30f1e61071437"},"schema_version":"1.0","source":{"id":"1205.3286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3286","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3286v1","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3286","created_at":"2026-05-18T03:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"Q27FXXVI6H62","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q27FXXVI6H625IGE","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q27FXXVI","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:b35cbf132c6c464a857e960db47e505d62248797317317bcf4161f3c3073391a","target":"graph","created_at":"2026-05-18T03:55:36Z","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":"We consider a power-constrained sensor network, consisting of multiple sensor nodes and a fusion center (FC), that is deployed for the purpose of estimating a common random parameter of interest. In contrast to the distributed framework, the sensor nodes are allowed to update their individual observations by (linearly) combining observations from neighboring nodes. The updated observations are communicated to the FC using an analog amplify-and-forward modulation scheme and through a coherent multiple access channel. The optimal collaborative strategy is obtained by minimizing the cumulative tr","authors_text":"Pramod K. Varshney, Swarnendu Kar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-15T08:12:53Z","title":"On Linear Coherent Estimation with Spatial Collaboration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3286","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:b49d6ce4c53cba12b2fbabe1e42eb855a282c6d052f289a9d187ca2284d916b8","target":"record","created_at":"2026-05-18T03:55:36Z","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":"07ff3b3107355b3a2ffc50477cefee945da1a80e0f9800b54f51d5ad9748a634","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-15T08:12:53Z","title_canon_sha256":"63f39cc8d80f529a69aaf72553a6cf5e4d805bf7fa6aec5ed3e30f1e61071437"},"schema_version":"1.0","source":{"id":"1205.3286","kind":"arxiv","version":1}},"canonical_sha256":"86be5bdea8f1fdaea0c4d8af791fed12a679e3f3ad2c2920e828614c997db689","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86be5bdea8f1fdaea0c4d8af791fed12a679e3f3ad2c2920e828614c997db689","first_computed_at":"2026-05-18T03:55:36.418985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:36.418985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kiwE25v3jEkwOocW23vCGf26AZ0JweTVvCng0wwnkv78hwM/LZjRpML0BfLkgMQj3xiI04/CxLVHKJBJkwrWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:36.419564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b49d6ce4c53cba12b2fbabe1e42eb855a282c6d052f289a9d187ca2284d916b8","sha256:b35cbf132c6c464a857e960db47e505d62248797317317bcf4161f3c3073391a"],"state_sha256":"a443276cc79b64cf76cb44b2b2006f22fed85f6daf758354f1db7fcbab4a1f30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qMU1yJoO9ZGoVHndjJfHS/Hg1Zt9x/8wOYfzhcl0lDolCoVUD6GLHwb+chqdDoLN4iPzIW5lFk9BIDtACyNBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:01:18.567675Z","bundle_sha256":"5af48e1c7128cc41f807734a69a8de5f72b81104d86bb3e15c9ef67c66e68ce2"}}