{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2DUJF2Q6D63JFICPWYUOM2NUGA","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":"4e1502f88112a3b7162d2dac9073bed9b58b653bcbbc1e364fcba7484b2020ea","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-24T11:55:31Z","title_canon_sha256":"4b2a6902d5ab59650ab3caf27a3b609a968bf6acd02f46708185f8e361a7eb80"},"schema_version":"1.0","source":{"id":"1905.10169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10169","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10169v1","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10169","created_at":"2026-05-17T23:45:11Z"},{"alias_kind":"pith_short_12","alias_value":"2DUJF2Q6D63J","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2DUJF2Q6D63JFICP","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2DUJF2Q6","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:39839a63ce3403ad655fd82374e727c69c22c7669d4aba5370b1da3f8a9c844c","target":"graph","created_at":"2026-05-17T23:45:11Z","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":"In this paper we derive a Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, wavelet transform on $\\mathbb{R}$ and Clifford-Fourier transform and their proprieties has been conducted. Next, such concepts have been applied to develop an uncertainty principle based on Clifford wavelets.","authors_text":"Anouar Ben Mabrouk, Hicham Banouh, Mohamed Kesri","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-24T11:55:31Z","title":"Clifford-wavelet Transform and the uncertainty principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10169","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:ee59bcbec4547832d40d8c950fc6db9b4cae853c032a58423b1124d345ec2b12","target":"record","created_at":"2026-05-17T23:45:11Z","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":"4e1502f88112a3b7162d2dac9073bed9b58b653bcbbc1e364fcba7484b2020ea","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-24T11:55:31Z","title_canon_sha256":"4b2a6902d5ab59650ab3caf27a3b609a968bf6acd02f46708185f8e361a7eb80"},"schema_version":"1.0","source":{"id":"1905.10169","kind":"arxiv","version":1}},"canonical_sha256":"d0e892ea1e1fb692a04fb628e669b4303cb3b40e605ffe4835d78859ced57f1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0e892ea1e1fb692a04fb628e669b4303cb3b40e605ffe4835d78859ced57f1c","first_computed_at":"2026-05-17T23:45:11.096900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:11.096900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7x1m39ERstoR3cVe1s0sh5L4IXfMMkBJDG1lqNBI4NRB/nJB3vUlCUcBPw2LRpWwSMeXyoX+nPlFD06zBC6ZAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:11.097692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee59bcbec4547832d40d8c950fc6db9b4cae853c032a58423b1124d345ec2b12","sha256:39839a63ce3403ad655fd82374e727c69c22c7669d4aba5370b1da3f8a9c844c"],"state_sha256":"88554013e5908c4d7f636e491bbfc2b43703a7338a35e4fd7baea907ba194061"}