{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CVAOKKVXDHDZZN6V2TQPZ4XGPP","short_pith_number":"pith:CVAOKKVX","canonical_record":{"source":{"id":"2302.08129","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-02-16T07:44:26Z","cross_cats_sorted":[],"title_canon_sha256":"a93af139898a047a482b15a6ac95d2718560bc062fd138efbc7508db60991793","abstract_canon_sha256":"f82ebf54522148b0c9c6dbe848ab30b1701ea54a4c6b8a8054ebf7f76747ca4f"},"schema_version":"1.0"},"canonical_sha256":"1540e52ab719c79cb7d5d4e0fcf2e67bd62f938977dd87789bd34a3bfdb4ce96","source":{"kind":"arxiv","id":"2302.08129","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.08129","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"arxiv_version","alias_value":"2302.08129v2","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.08129","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"pith_short_12","alias_value":"CVAOKKVXDHDZ","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"pith_short_16","alias_value":"CVAOKKVXDHDZZN6V","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"pith_short_8","alias_value":"CVAOKKVX","created_at":"2026-07-05T08:38:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CVAOKKVXDHDZZN6V2TQPZ4XGPP","target":"record","payload":{"canonical_record":{"source":{"id":"2302.08129","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-02-16T07:44:26Z","cross_cats_sorted":[],"title_canon_sha256":"a93af139898a047a482b15a6ac95d2718560bc062fd138efbc7508db60991793","abstract_canon_sha256":"f82ebf54522148b0c9c6dbe848ab30b1701ea54a4c6b8a8054ebf7f76747ca4f"},"schema_version":"1.0"},"canonical_sha256":"1540e52ab719c79cb7d5d4e0fcf2e67bd62f938977dd87789bd34a3bfdb4ce96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:51.308603Z","signature_b64":"fuH8ZEQtOY5sZZZOJ0SIwh91dGenwUWywKQI5DhzuA3eM7q6L4ofu2TasHeMzAvlCojtWt2J7+EekVYgBhY+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1540e52ab719c79cb7d5d4e0fcf2e67bd62f938977dd87789bd34a3bfdb4ce96","last_reissued_at":"2026-07-05T08:38:51.308045Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:51.308045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.08129","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:38:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zY8NP6Ez9aH2UupN2eMXIwdUcBZtvqJ1Ros862P8JzB6OtfetapWusiAA4fomKxkYSyy+8ioHOw9WuccfD1qAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:56:07.596430Z"},"content_sha256":"21b946867cecda56e1975a9d283660fd425bd72ec2d61749f3902ea5e1770bc9","schema_version":"1.0","event_id":"sha256:21b946867cecda56e1975a9d283660fd425bd72ec2d61749f3902ea5e1770bc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CVAOKKVXDHDZZN6V2TQPZ4XGPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unique wavelet sign retrieval from samples without bandlimiting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Francesca Bartolucci, Matthias Wellershoff, Rima Alaifari","submitted_at":"2023-02-16T07:44:26Z","abstract_excerpt":"We study the problem of recovering a signal from magnitudes of its wavelet frame coefficients when the analyzing wavelet is real-valued. We show that every real-valued signal can be uniquely recovered, up to global sign, from its multi-wavelet frame coefficients \\[ \\{\\lvert \\mathcal{W}_{\\phi_i} f(\\alpha^{m}\\beta n,\\alpha^{m}) \\rvert: i\\in\\{1,2,3\\}, m,n\\in\\mathbb{Z}\\} \\] for every $\\alpha>1,\\beta>0$ with $\\beta\\ln(\\alpha)\\leq 4\\pi/(1+4p)$, $p>0$, when the three wavelets $\\phi_i$ are suitable linear combinations of the Poisson wavelet $P_p$ of order $p$ and its Hilbert transform $\\mathscr{H}P_p$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.08129","kind":"arxiv","version":2},"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/2302.08129/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":"2026-07-05T08:38:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GwFxVDAWMMl9CdgEagcAhyiPFtw4jX7H1CBTcessaMtdOpz1yGcU7YSgC/0PtbJQ5PulhTP1VIYGl5HWiNbSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:56:07.596829Z"},"content_sha256":"3f72ca110005b70546ba032dd11b77f4cd41b2e3086e3ab733dc351121632fe8","schema_version":"1.0","event_id":"sha256:3f72ca110005b70546ba032dd11b77f4cd41b2e3086e3ab733dc351121632fe8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP/bundle.json","state_url":"https://pith.science/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP/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":"2026-08-11T21:56:07Z","links":{"resolver":"https://pith.science/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP","bundle":"https://pith.science/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP/bundle.json","state":"https://pith.science/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CVAOKKVXDHDZZN6V2TQPZ4XGPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CVAOKKVXDHDZZN6V2TQPZ4XGPP","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":"f82ebf54522148b0c9c6dbe848ab30b1701ea54a4c6b8a8054ebf7f76747ca4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-02-16T07:44:26Z","title_canon_sha256":"a93af139898a047a482b15a6ac95d2718560bc062fd138efbc7508db60991793"},"schema_version":"1.0","source":{"id":"2302.08129","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.08129","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"arxiv_version","alias_value":"2302.08129v2","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.08129","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"pith_short_12","alias_value":"CVAOKKVXDHDZ","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"pith_short_16","alias_value":"CVAOKKVXDHDZZN6V","created_at":"2026-07-05T08:38:51Z"},{"alias_kind":"pith_short_8","alias_value":"CVAOKKVX","created_at":"2026-07-05T08:38:51Z"}],"graph_snapshots":[{"event_id":"sha256:3f72ca110005b70546ba032dd11b77f4cd41b2e3086e3ab733dc351121632fe8","target":"graph","created_at":"2026-07-05T08:38:51Z","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/2302.08129/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of recovering a signal from magnitudes of its wavelet frame coefficients when the analyzing wavelet is real-valued. We show that every real-valued signal can be uniquely recovered, up to global sign, from its multi-wavelet frame coefficients \\[ \\{\\lvert \\mathcal{W}_{\\phi_i} f(\\alpha^{m}\\beta n,\\alpha^{m}) \\rvert: i\\in\\{1,2,3\\}, m,n\\in\\mathbb{Z}\\} \\] for every $\\alpha>1,\\beta>0$ with $\\beta\\ln(\\alpha)\\leq 4\\pi/(1+4p)$, $p>0$, when the three wavelets $\\phi_i$ are suitable linear combinations of the Poisson wavelet $P_p$ of order $p$ and its Hilbert transform $\\mathscr{H}P_p$","authors_text":"Francesca Bartolucci, Matthias Wellershoff, Rima Alaifari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-02-16T07:44:26Z","title":"Unique wavelet sign retrieval from samples without bandlimiting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.08129","kind":"arxiv","version":2},"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":"sha256:21b946867cecda56e1975a9d283660fd425bd72ec2d61749f3902ea5e1770bc9","target":"record","created_at":"2026-07-05T08:38:51Z","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":"f82ebf54522148b0c9c6dbe848ab30b1701ea54a4c6b8a8054ebf7f76747ca4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-02-16T07:44:26Z","title_canon_sha256":"a93af139898a047a482b15a6ac95d2718560bc062fd138efbc7508db60991793"},"schema_version":"1.0","source":{"id":"2302.08129","kind":"arxiv","version":2}},"canonical_sha256":"1540e52ab719c79cb7d5d4e0fcf2e67bd62f938977dd87789bd34a3bfdb4ce96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1540e52ab719c79cb7d5d4e0fcf2e67bd62f938977dd87789bd34a3bfdb4ce96","first_computed_at":"2026-07-05T08:38:51.308045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:38:51.308045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fuH8ZEQtOY5sZZZOJ0SIwh91dGenwUWywKQI5DhzuA3eM7q6L4ofu2TasHeMzAvlCojtWt2J7+EekVYgBhY+Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:38:51.308603Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.08129","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21b946867cecda56e1975a9d283660fd425bd72ec2d61749f3902ea5e1770bc9","sha256:3f72ca110005b70546ba032dd11b77f4cd41b2e3086e3ab733dc351121632fe8"],"state_sha256":"2a870e834ed4a0d90cc0cb8d60634cf6dc6ee525762dbdb2c0e23c759070b048"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QOqMxfDetsxoPJjqeX3f/liXLP1pvYCzQrTZGj1nlt15BcIyCAikQQNtiGn/3G2Qnipiv0Q2+1eZke4wUTcyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:56:07.599462Z","bundle_sha256":"fb6e2343340d79f1d127886add2909156074b9e9cb7a0bd9402587e81c7b8754"}}