{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2EJUYTGBVU6Q4PIDUWE7EKXBER","short_pith_number":"pith:2EJUYTGB","canonical_record":{"source":{"id":"1207.4420","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-18T17:33:28Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"7b133ac04373ad5be808fe20de76ddf1f9bde1b9b2c2e43cd63ccf09a760a69c","abstract_canon_sha256":"d0949e5333479d58187a7a60d7bf31c5e964b244f7d0117fc3d876c95f270f83"},"schema_version":"1.0"},"canonical_sha256":"d1134c4cc1ad3d0e3d03a589f22ae12468ae4a64a460b1543c81a26c92a37d25","source":{"kind":"arxiv","id":"1207.4420","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4420","created_at":"2026-05-18T02:53:30Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4420v4","created_at":"2026-05-18T02:53:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4420","created_at":"2026-05-18T02:53:30Z"},{"alias_kind":"pith_short_12","alias_value":"2EJUYTGBVU6Q","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2EJUYTGBVU6Q4PID","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2EJUYTGB","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2EJUYTGBVU6Q4PIDUWE7EKXBER","target":"record","payload":{"canonical_record":{"source":{"id":"1207.4420","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-18T17:33:28Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"7b133ac04373ad5be808fe20de76ddf1f9bde1b9b2c2e43cd63ccf09a760a69c","abstract_canon_sha256":"d0949e5333479d58187a7a60d7bf31c5e964b244f7d0117fc3d876c95f270f83"},"schema_version":"1.0"},"canonical_sha256":"d1134c4cc1ad3d0e3d03a589f22ae12468ae4a64a460b1543c81a26c92a37d25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:30.552686Z","signature_b64":"rjOylQmAclNY4k8mGCsqeQibJQ00SJIEhUREGfUNSKsft4yQFLVYOSMuPF7xo22zryUYVy6JLFchkM0ZquLKDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1134c4cc1ad3d0e3d03a589f22ae12468ae4a64a460b1543c81a26c92a37d25","last_reissued_at":"2026-05-18T02:53:30.551936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:30.551936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.4420","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WMFABDG+7N4e6PGLWBIG4GCYjLPjLoH40fohpgoGi+9sxTf981XzWtuSOCILT8aYevxzT7UNUlQdtOkqtuAECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:33:48.335806Z"},"content_sha256":"452cc2c82bf62a64b3e16145752cad2e986a9edb23fd524f681411f2b7f0dba7","schema_version":"1.0","event_id":"sha256:452cc2c82bf62a64b3e16145752cad2e986a9edb23fd524f681411f2b7f0dba7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2EJUYTGBVU6Q4PIDUWE7EKXBER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Nuclear Norm heuristic for a Hankel matrix Recovery Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Kristiaan Pelckmans, Liang Dai","submitted_at":"2012-07-18T17:33:28Z","abstract_excerpt":"This note addresses the question if and why the nuclear norm heuristic can recover an impulse response generated by a stable single-real-pole system, if elements of the upper-triangle of the associated Hankel matrix were given.\n  Since the setting is deterministic, theories based on stochastic assumptions for low-rank matrix recovery do not apply here. A 'certificate' which guarantees the completion is constructed by exploring the structural information of the hidden matrix. Experimental results and discussions regarding the nuclear norm heuristic applied to a more general setting are also giv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4420","kind":"arxiv","version":4},"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":"2026-05-18T02:53:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eJcd3UNTks/1PnM2UKfY+VNhH3T7dGJozzp3tcJbeeKV0lkxexGWV5TNoai5nj1fQ3ExJ5IdVQt+1k6zMlMNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:33:48.336479Z"},"content_sha256":"52841cc5c552c684f530a7db1c71ecbead12b8e745be4be788e9490b98127bc4","schema_version":"1.0","event_id":"sha256:52841cc5c552c684f530a7db1c71ecbead12b8e745be4be788e9490b98127bc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER/bundle.json","state_url":"https://pith.science/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER/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":"2026-05-29T16:33:48Z","links":{"resolver":"https://pith.science/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER","bundle":"https://pith.science/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER/bundle.json","state":"https://pith.science/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2EJUYTGBVU6Q4PIDUWE7EKXBER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2EJUYTGBVU6Q4PIDUWE7EKXBER","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":"d0949e5333479d58187a7a60d7bf31c5e964b244f7d0117fc3d876c95f270f83","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-18T17:33:28Z","title_canon_sha256":"7b133ac04373ad5be808fe20de76ddf1f9bde1b9b2c2e43cd63ccf09a760a69c"},"schema_version":"1.0","source":{"id":"1207.4420","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4420","created_at":"2026-05-18T02:53:30Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4420v4","created_at":"2026-05-18T02:53:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4420","created_at":"2026-05-18T02:53:30Z"},{"alias_kind":"pith_short_12","alias_value":"2EJUYTGBVU6Q","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2EJUYTGBVU6Q4PID","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2EJUYTGB","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:52841cc5c552c684f530a7db1c71ecbead12b8e745be4be788e9490b98127bc4","target":"graph","created_at":"2026-05-18T02:53:30Z","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":"This note addresses the question if and why the nuclear norm heuristic can recover an impulse response generated by a stable single-real-pole system, if elements of the upper-triangle of the associated Hankel matrix were given.\n  Since the setting is deterministic, theories based on stochastic assumptions for low-rank matrix recovery do not apply here. A 'certificate' which guarantees the completion is constructed by exploring the structural information of the hidden matrix. Experimental results and discussions regarding the nuclear norm heuristic applied to a more general setting are also giv","authors_text":"Kristiaan Pelckmans, Liang Dai","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-18T17:33:28Z","title":"On the Nuclear Norm heuristic for a Hankel matrix Recovery Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4420","kind":"arxiv","version":4},"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":"sha256:452cc2c82bf62a64b3e16145752cad2e986a9edb23fd524f681411f2b7f0dba7","target":"record","created_at":"2026-05-18T02:53:30Z","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":"d0949e5333479d58187a7a60d7bf31c5e964b244f7d0117fc3d876c95f270f83","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-07-18T17:33:28Z","title_canon_sha256":"7b133ac04373ad5be808fe20de76ddf1f9bde1b9b2c2e43cd63ccf09a760a69c"},"schema_version":"1.0","source":{"id":"1207.4420","kind":"arxiv","version":4}},"canonical_sha256":"d1134c4cc1ad3d0e3d03a589f22ae12468ae4a64a460b1543c81a26c92a37d25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1134c4cc1ad3d0e3d03a589f22ae12468ae4a64a460b1543c81a26c92a37d25","first_computed_at":"2026-05-18T02:53:30.551936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:30.551936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rjOylQmAclNY4k8mGCsqeQibJQ00SJIEhUREGfUNSKsft4yQFLVYOSMuPF7xo22zryUYVy6JLFchkM0ZquLKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:30.552686Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4420","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:452cc2c82bf62a64b3e16145752cad2e986a9edb23fd524f681411f2b7f0dba7","sha256:52841cc5c552c684f530a7db1c71ecbead12b8e745be4be788e9490b98127bc4"],"state_sha256":"4352db0b9159145a13a5dfb90b4544874f0160f31aba98dfe6b7ba4da25f6fc9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bEGz0as8mDE6lXSgS02PTx2pUU0jWH8a8Ne+EVgKQxpF1TTMGOWiUT6KU7LEoBk6MJ/W9lGQngXmGN5nOY+JAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:33:48.340115Z","bundle_sha256":"c4e59548653d99cd73bb2114d0f14f1fe9d859d79fbd5db6276a9ab2dccff3d5"}}