{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OVG2YWDEWU2MQOF3IKBPOHWKJZ","short_pith_number":"pith:OVG2YWDE","canonical_record":{"source":{"id":"2407.02963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-07-03T10:00:55Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"4d4076e1f6d1099e8dae1b242da7d2fe0a1b4cfcf50ee62f8b7d80c9f03cbb96","abstract_canon_sha256":"aa5505334c9f5cdc97922354426dd0a7c2e88651d206af3202b0367f6760b2ed"},"schema_version":"1.0"},"canonical_sha256":"754dac5864b534c838bb4282f71eca4e682ac64147ccf0be2d5dfd5d82f3a511","source":{"kind":"arxiv","id":"2407.02963","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02963","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02963v1","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02963","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"OVG2YWDEWU2M","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"pith_short_16","alias_value":"OVG2YWDEWU2MQOF3","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"pith_short_8","alias_value":"OVG2YWDE","created_at":"2026-07-05T08:39:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OVG2YWDEWU2MQOF3IKBPOHWKJZ","target":"record","payload":{"canonical_record":{"source":{"id":"2407.02963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-07-03T10:00:55Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"4d4076e1f6d1099e8dae1b242da7d2fe0a1b4cfcf50ee62f8b7d80c9f03cbb96","abstract_canon_sha256":"aa5505334c9f5cdc97922354426dd0a7c2e88651d206af3202b0367f6760b2ed"},"schema_version":"1.0"},"canonical_sha256":"754dac5864b534c838bb4282f71eca4e682ac64147ccf0be2d5dfd5d82f3a511","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:39:44.243635Z","signature_b64":"WAge56f8wckFdf5QLrqdWpeaK3yOvJMaDV2kdb9KsIeIyOBglravlQ5/cvn8Wk0aPsz2aR0+RdRgFAtOO6YsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"754dac5864b534c838bb4282f71eca4e682ac64147ccf0be2d5dfd5d82f3a511","last_reissued_at":"2026-07-05T08:39:44.243143Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:39:44.243143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.02963","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":"2026-07-05T08:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Hw7HkPpOJKsn233tNMyTZjuV3DT1hHjsz8gq62OnWWoX46YmGcHkbLCTv/ASpTrvuwZAxDNLSiBF5Cu5SKUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T14:21:34.882114Z"},"content_sha256":"89cf3f8c26b09b88b43cffe3af47b6c511c95ae3917710fbd323d56742225fa7","schema_version":"1.0","event_id":"sha256:89cf3f8c26b09b88b43cffe3af47b6c511c95ae3917710fbd323d56742225fa7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OVG2YWDEWU2MQOF3IKBPOHWKJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subspace Coding for Spatial Sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"eess.SP","authors_text":"Hessam Mahdavifar, Piya Pal, Robin Rajam\\\"aki","submitted_at":"2024-07-03T10:00:55Z","abstract_excerpt":"A subspace code is defined as a collection of subspaces of an ambient vector space, where each information-encoding codeword is a subspace. This paper studies a class of spatial sensing problems, notably direction of arrival (DoA) estimation using multisensor arrays, from a novel subspace coding perspective. Specifically, we demonstrate how a canonical (passive) sensing model can be mapped into a subspace coding problem, with the sensing operation defining a unique structure for the subspace codewords. We introduce the concept of sensing subspace codes following this structure, and show how th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02963","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/2407.02963/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":"2026-07-05T08:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0udFbLZg42aDXHFw1FWmPN8Ly0JsrXiSWOL7Uo8wgK6deJlGHwqPDzA1pL6Xb3eXcuETS87HmeitmT4ybDQBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T14:21:34.882519Z"},"content_sha256":"c607a64a3d4c8a1c0c1b103407ded06e13c5dfe4dbee3d7184cd0a3caed95e7b","schema_version":"1.0","event_id":"sha256:c607a64a3d4c8a1c0c1b103407ded06e13c5dfe4dbee3d7184cd0a3caed95e7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ/bundle.json","state_url":"https://pith.science/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ/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":"2026-07-12T14:21:34Z","links":{"resolver":"https://pith.science/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ","bundle":"https://pith.science/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ/bundle.json","state":"https://pith.science/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OVG2YWDEWU2MQOF3IKBPOHWKJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OVG2YWDEWU2MQOF3IKBPOHWKJZ","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":"aa5505334c9f5cdc97922354426dd0a7c2e88651d206af3202b0367f6760b2ed","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-07-03T10:00:55Z","title_canon_sha256":"4d4076e1f6d1099e8dae1b242da7d2fe0a1b4cfcf50ee62f8b7d80c9f03cbb96"},"schema_version":"1.0","source":{"id":"2407.02963","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02963","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02963v1","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02963","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"OVG2YWDEWU2M","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"pith_short_16","alias_value":"OVG2YWDEWU2MQOF3","created_at":"2026-07-05T08:39:44Z"},{"alias_kind":"pith_short_8","alias_value":"OVG2YWDE","created_at":"2026-07-05T08:39:44Z"}],"graph_snapshots":[{"event_id":"sha256:c607a64a3d4c8a1c0c1b103407ded06e13c5dfe4dbee3d7184cd0a3caed95e7b","target":"graph","created_at":"2026-07-05T08:39:44Z","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/2407.02963/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A subspace code is defined as a collection of subspaces of an ambient vector space, where each information-encoding codeword is a subspace. This paper studies a class of spatial sensing problems, notably direction of arrival (DoA) estimation using multisensor arrays, from a novel subspace coding perspective. Specifically, we demonstrate how a canonical (passive) sensing model can be mapped into a subspace coding problem, with the sensing operation defining a unique structure for the subspace codewords. We introduce the concept of sensing subspace codes following this structure, and show how th","authors_text":"Hessam Mahdavifar, Piya Pal, Robin Rajam\\\"aki","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-07-03T10:00:55Z","title":"Subspace Coding for Spatial Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02963","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":"sha256:89cf3f8c26b09b88b43cffe3af47b6c511c95ae3917710fbd323d56742225fa7","target":"record","created_at":"2026-07-05T08:39:44Z","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":"aa5505334c9f5cdc97922354426dd0a7c2e88651d206af3202b0367f6760b2ed","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-07-03T10:00:55Z","title_canon_sha256":"4d4076e1f6d1099e8dae1b242da7d2fe0a1b4cfcf50ee62f8b7d80c9f03cbb96"},"schema_version":"1.0","source":{"id":"2407.02963","kind":"arxiv","version":1}},"canonical_sha256":"754dac5864b534c838bb4282f71eca4e682ac64147ccf0be2d5dfd5d82f3a511","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"754dac5864b534c838bb4282f71eca4e682ac64147ccf0be2d5dfd5d82f3a511","first_computed_at":"2026-07-05T08:39:44.243143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:39:44.243143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WAge56f8wckFdf5QLrqdWpeaK3yOvJMaDV2kdb9KsIeIyOBglravlQ5/cvn8Wk0aPsz2aR0+RdRgFAtOO6YsAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:39:44.243635Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.02963","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89cf3f8c26b09b88b43cffe3af47b6c511c95ae3917710fbd323d56742225fa7","sha256:c607a64a3d4c8a1c0c1b103407ded06e13c5dfe4dbee3d7184cd0a3caed95e7b"],"state_sha256":"f398d88e21a7577a0f0f5c951c34931169b628b2d5988481e01db593a3a6a936"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0rxvSIA+Cr1ErBAwKSvkUo8QexAjw66a+R6iUtqch+jtOOmlce+YT5a8ObXETMrAMULXgAXSZ5/hAUAqoGKsBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-12T14:21:34.885089Z","bundle_sha256":"5d41ec8382e0c8bdc395c97f43ea817734ab6c220ea61378d88a9a72a7da4995"}}