{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:COEOWDYAC6RWPNUU5A73YR35IL","short_pith_number":"pith:COEOWDYA","canonical_record":{"source":{"id":"1502.02166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-07T17:39:10Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"93340d5c39a805e883ffe6f5e4d2155fbe95fb5f0b43f1aeb560fde52ccfc771","abstract_canon_sha256":"8478d0aa61c98ffc0b2045b54941a140ae396ed32a8918cb3856fbf6ade41353"},"schema_version":"1.0"},"canonical_sha256":"1388eb0f0017a367b694e83fbc477d42cba6d647e3d8f92316fda03e251f5b7e","source":{"kind":"arxiv","id":"1502.02166","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02166","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02166v1","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02166","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"COEOWDYAC6RW","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"COEOWDYAC6RWPNUU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"COEOWDYA","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:COEOWDYAC6RWPNUU5A73YR35IL","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-07T17:39:10Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"93340d5c39a805e883ffe6f5e4d2155fbe95fb5f0b43f1aeb560fde52ccfc771","abstract_canon_sha256":"8478d0aa61c98ffc0b2045b54941a140ae396ed32a8918cb3856fbf6ade41353"},"schema_version":"1.0"},"canonical_sha256":"1388eb0f0017a367b694e83fbc477d42cba6d647e3d8f92316fda03e251f5b7e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:01.680739Z","signature_b64":"mh6HGAwwZlDroDDaUr7MwzfR7P17sz68Z5PgigkbRpb/7IvDU8eZePg0NqG5MHN/TH9LkE4OYkQzcM9W6FGNAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1388eb0f0017a367b694e83fbc477d42cba6d647e3d8f92316fda03e251f5b7e","last_reissued_at":"2026-05-18T01:35:01.680051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:01.680051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02166","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":"2026-05-18T01:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EB252VfY6S4Wp1350MK/d2p9Dtm1Lo5wsqpDa1rbpGyA9DwGK9Mmq/ANVeCenDEhScMlbVTgkaMPEorNiSCaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:42:50.851481Z"},"content_sha256":"5352b9a422e55157bafac6390441f97cfb6ce48e35c6034416e76f39787c8a03","schema_version":"1.0","event_id":"sha256:5352b9a422e55157bafac6390441f97cfb6ce48e35c6034416e76f39787c8a03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:COEOWDYAC6RWPNUU5A73YR35IL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compactly Supported One-cyclic Wavelets Derived from Beta Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"math.CA","authors_text":"G.A.A. de Araujo, H.M. de Oliveira","submitted_at":"2015-02-07T17:39:10Z","abstract_excerpt":"New continuous wavelets of compact support are introduced, which are related to the beta distribution. They can be built from probability distributions using 'blur'derivatives. These new wavelets have just one cycle, so they are termed unicycle wavelets. They can be viewed as a soft variety of Haar wavelets whose shape is fine-tuned by two parameters a and b. Close expressions for beta wavelets and scale functions as well as their spectra are derived. Their importance is due to the Central Limit Theorem applied for compactly supported signals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02166","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":""},"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":"2026-05-18T01:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3CeLXVi6Ke++cs+pk393f1HTzlxoXCPdNtF2er/k3vjc0uwCmVyDB9CjKMLZMuN7XWaB5TCBOkiI1DyI9fC1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:42:50.852178Z"},"content_sha256":"e7d7ae3041d39e45d567aea0dd513b3b4636b7aa54fc36ea21eaed7d3208e78f","schema_version":"1.0","event_id":"sha256:e7d7ae3041d39e45d567aea0dd513b3b4636b7aa54fc36ea21eaed7d3208e78f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COEOWDYAC6RWPNUU5A73YR35IL/bundle.json","state_url":"https://pith.science/pith/COEOWDYAC6RWPNUU5A73YR35IL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COEOWDYAC6RWPNUU5A73YR35IL/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":"2026-06-09T07:42:50Z","links":{"resolver":"https://pith.science/pith/COEOWDYAC6RWPNUU5A73YR35IL","bundle":"https://pith.science/pith/COEOWDYAC6RWPNUU5A73YR35IL/bundle.json","state":"https://pith.science/pith/COEOWDYAC6RWPNUU5A73YR35IL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COEOWDYAC6RWPNUU5A73YR35IL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:COEOWDYAC6RWPNUU5A73YR35IL","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":"8478d0aa61c98ffc0b2045b54941a140ae396ed32a8918cb3856fbf6ade41353","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-07T17:39:10Z","title_canon_sha256":"93340d5c39a805e883ffe6f5e4d2155fbe95fb5f0b43f1aeb560fde52ccfc771"},"schema_version":"1.0","source":{"id":"1502.02166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02166","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02166v1","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02166","created_at":"2026-05-18T01:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"COEOWDYAC6RW","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"COEOWDYAC6RWPNUU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"COEOWDYA","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:e7d7ae3041d39e45d567aea0dd513b3b4636b7aa54fc36ea21eaed7d3208e78f","target":"graph","created_at":"2026-05-18T01:35:01Z","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":"New continuous wavelets of compact support are introduced, which are related to the beta distribution. They can be built from probability distributions using 'blur'derivatives. These new wavelets have just one cycle, so they are termed unicycle wavelets. They can be viewed as a soft variety of Haar wavelets whose shape is fine-tuned by two parameters a and b. Close expressions for beta wavelets and scale functions as well as their spectra are derived. Their importance is due to the Central Limit Theorem applied for compactly supported signals.","authors_text":"G.A.A. de Araujo, H.M. de Oliveira","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-07T17:39:10Z","title":"Compactly Supported One-cyclic Wavelets Derived from Beta Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02166","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":"sha256:5352b9a422e55157bafac6390441f97cfb6ce48e35c6034416e76f39787c8a03","target":"record","created_at":"2026-05-18T01:35:01Z","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":"8478d0aa61c98ffc0b2045b54941a140ae396ed32a8918cb3856fbf6ade41353","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-07T17:39:10Z","title_canon_sha256":"93340d5c39a805e883ffe6f5e4d2155fbe95fb5f0b43f1aeb560fde52ccfc771"},"schema_version":"1.0","source":{"id":"1502.02166","kind":"arxiv","version":1}},"canonical_sha256":"1388eb0f0017a367b694e83fbc477d42cba6d647e3d8f92316fda03e251f5b7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1388eb0f0017a367b694e83fbc477d42cba6d647e3d8f92316fda03e251f5b7e","first_computed_at":"2026-05-18T01:35:01.680051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:01.680051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mh6HGAwwZlDroDDaUr7MwzfR7P17sz68Z5PgigkbRpb/7IvDU8eZePg0NqG5MHN/TH9LkE4OYkQzcM9W6FGNAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:01.680739Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5352b9a422e55157bafac6390441f97cfb6ce48e35c6034416e76f39787c8a03","sha256:e7d7ae3041d39e45d567aea0dd513b3b4636b7aa54fc36ea21eaed7d3208e78f"],"state_sha256":"5ae75e660098825fb760e470892ad436cfb16e09feedd8df03b0069927b37011"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E1HXrOD/GFsOfKLWuO/7le9wYOmYtFcxLHZJh1Rm/sJ6byB39ru5ICotWkNHiJQN/G3xkvc/OyQI9vDeYLWJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:42:50.856096Z","bundle_sha256":"19f284497a37fc331a43b788cae28a4171a24810e1075fe5abd26b133ac33ba3"}}