{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:4RHZWMXXAWM6SUM7OFFLDBGYCG","short_pith_number":"pith:4RHZWMXX","canonical_record":{"source":{"id":"2201.03114","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-01-09T23:55:53Z","cross_cats_sorted":["cs.CV","eess.IV"],"title_canon_sha256":"a6ebc223e809a3cd709b7c3e1861ffc6c0829ee471dedfffa32d3ca4ead42e5d","abstract_canon_sha256":"dbd89ebfac6a048322c9f4a96bdb03366eb0694d4836f11aba0a1f0a727b507a"},"schema_version":"1.0"},"canonical_sha256":"e44f9b32f70599e9519f714ab184d8119118bb77528e92aa322cb5e271679d26","source":{"kind":"arxiv","id":"2201.03114","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.03114","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"arxiv_version","alias_value":"2201.03114v1","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.03114","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"pith_short_12","alias_value":"4RHZWMXXAWM6","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"4RHZWMXXAWM6SUM7","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"4RHZWMXX","created_at":"2026-07-05T04:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:4RHZWMXXAWM6SUM7OFFLDBGYCG","target":"record","payload":{"canonical_record":{"source":{"id":"2201.03114","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-01-09T23:55:53Z","cross_cats_sorted":["cs.CV","eess.IV"],"title_canon_sha256":"a6ebc223e809a3cd709b7c3e1861ffc6c0829ee471dedfffa32d3ca4ead42e5d","abstract_canon_sha256":"dbd89ebfac6a048322c9f4a96bdb03366eb0694d4836f11aba0a1f0a727b507a"},"schema_version":"1.0"},"canonical_sha256":"e44f9b32f70599e9519f714ab184d8119118bb77528e92aa322cb5e271679d26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:25:52.092426Z","signature_b64":"uFEDEEvdZQ9F2ed/6UkgM0V1b6Z+PXqvF5yAsS7LWUtfxvD26yv1qGHzNodUZhwFi7DSLko/kaRDKV2I5CQcDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e44f9b32f70599e9519f714ab184d8119118bb77528e92aa322cb5e271679d26","last_reissued_at":"2026-07-05T04:25:52.091941Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:25:52.091941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.03114","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":"2026-07-05T04:25:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYhRVj2KC7pUv6cPORlQwlgfEXeBZQki+Z0K8iwxFDlwGW5iWf6iiGv1kAksBMAwPqGaXBDA3wdMlOfp2+xVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:45:27.212367Z"},"content_sha256":"f3086e78fe43ec786e52c0a98c51a1a00d41a0a150ef83823a7ead78781d762a","schema_version":"1.0","event_id":"sha256:f3086e78fe43ec786e52c0a98c51a1a00d41a0a150ef83823a7ead78781d762a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:4RHZWMXXAWM6SUM7OFFLDBGYCG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Signal Reconstruction from Quantized Noisy Samples of the Discrete Fourier Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","eess.IV"],"primary_cat":"eess.SP","authors_text":"Animesh Kumar, Mohak Goyal","submitted_at":"2022-01-09T23:55:53Z","abstract_excerpt":"In this paper, we present two variations of an algorithm for signal reconstruction from one-bit or two-bit noisy observations of the discrete Fourier transform (DFT). The one-bit observations of the DFT correspond to the sign of its real part, whereas, the two-bit observations of the DFT correspond to the signs of both the real and imaginary parts of the DFT. We focus on images for analysis and simulations, thus using the sign of the 2D-DFT. This choice of the class of signals is inspired by previous works on this problem. For our algorithm, we show that the expected mean squared error (MSE) i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.03114","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/2201.03114/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":"2026-07-05T04:25:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iCW/LfNOTY1xyX3qTOSdHqcw4GqQaJPBDtYZSsW1msjkeWTgf4TLLBBydbMHDIOoRi+JMtV2swctROEz8/2JCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:45:27.212755Z"},"content_sha256":"d7ee66f3ed63befaf5aff8237270246a89e9d8de78b45b90adc6b1eaa7785ef9","schema_version":"1.0","event_id":"sha256:d7ee66f3ed63befaf5aff8237270246a89e9d8de78b45b90adc6b1eaa7785ef9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG/bundle.json","state_url":"https://pith.science/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG/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":"2026-07-05T15:45:27Z","links":{"resolver":"https://pith.science/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG","bundle":"https://pith.science/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG/bundle.json","state":"https://pith.science/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4RHZWMXXAWM6SUM7OFFLDBGYCG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:4RHZWMXXAWM6SUM7OFFLDBGYCG","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":"dbd89ebfac6a048322c9f4a96bdb03366eb0694d4836f11aba0a1f0a727b507a","cross_cats_sorted":["cs.CV","eess.IV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-01-09T23:55:53Z","title_canon_sha256":"a6ebc223e809a3cd709b7c3e1861ffc6c0829ee471dedfffa32d3ca4ead42e5d"},"schema_version":"1.0","source":{"id":"2201.03114","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.03114","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"arxiv_version","alias_value":"2201.03114v1","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.03114","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"pith_short_12","alias_value":"4RHZWMXXAWM6","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"4RHZWMXXAWM6SUM7","created_at":"2026-07-05T04:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"4RHZWMXX","created_at":"2026-07-05T04:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:d7ee66f3ed63befaf5aff8237270246a89e9d8de78b45b90adc6b1eaa7785ef9","target":"graph","created_at":"2026-07-05T04:25:52Z","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/2201.03114/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present two variations of an algorithm for signal reconstruction from one-bit or two-bit noisy observations of the discrete Fourier transform (DFT). The one-bit observations of the DFT correspond to the sign of its real part, whereas, the two-bit observations of the DFT correspond to the signs of both the real and imaginary parts of the DFT. We focus on images for analysis and simulations, thus using the sign of the 2D-DFT. This choice of the class of signals is inspired by previous works on this problem. For our algorithm, we show that the expected mean squared error (MSE) i","authors_text":"Animesh Kumar, Mohak Goyal","cross_cats":["cs.CV","eess.IV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-01-09T23:55:53Z","title":"Signal Reconstruction from Quantized Noisy Samples of the Discrete Fourier Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.03114","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:f3086e78fe43ec786e52c0a98c51a1a00d41a0a150ef83823a7ead78781d762a","target":"record","created_at":"2026-07-05T04:25:52Z","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":"dbd89ebfac6a048322c9f4a96bdb03366eb0694d4836f11aba0a1f0a727b507a","cross_cats_sorted":["cs.CV","eess.IV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-01-09T23:55:53Z","title_canon_sha256":"a6ebc223e809a3cd709b7c3e1861ffc6c0829ee471dedfffa32d3ca4ead42e5d"},"schema_version":"1.0","source":{"id":"2201.03114","kind":"arxiv","version":1}},"canonical_sha256":"e44f9b32f70599e9519f714ab184d8119118bb77528e92aa322cb5e271679d26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e44f9b32f70599e9519f714ab184d8119118bb77528e92aa322cb5e271679d26","first_computed_at":"2026-07-05T04:25:52.091941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:25:52.091941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uFEDEEvdZQ9F2ed/6UkgM0V1b6Z+PXqvF5yAsS7LWUtfxvD26yv1qGHzNodUZhwFi7DSLko/kaRDKV2I5CQcDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:25:52.092426Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.03114","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3086e78fe43ec786e52c0a98c51a1a00d41a0a150ef83823a7ead78781d762a","sha256:d7ee66f3ed63befaf5aff8237270246a89e9d8de78b45b90adc6b1eaa7785ef9"],"state_sha256":"9e2b0744484df229f11445c97694c003c9676dec4bfaa575535ae74f57711bc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3MBj3bk+ktslaUDowDVHWZFyY9co9wue9g6cjzDseJNTCjTxTz8tcJem9yAPK+32Pw7fiEKM1jjnuTDYffh6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:45:27.215087Z","bundle_sha256":"256b0b2afc914287715e810d1f6fe754b048cda320f055c593cb2e96f8a9bd5a"}}