{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3LEMGMXT2O343OW76EJSSW343A","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":"a6dfb2b368c6026fcf9a296ec112cb8e9100b9ef90ed5c88871d1467e92420e8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-01-30T17:01:30Z","title_canon_sha256":"f41edd24e55922cd015a41b1d3b2702256d213855bc1ad0988f68ffd5a398f09"},"schema_version":"1.0","source":{"id":"0801.4713","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.4713","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"0801.4713v2","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.4713","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"3LEMGMXT2O34","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3LEMGMXT2O343OW7","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3LEMGMXT","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:2fe52f6e53c0a6301402b54c17ee26e482ecc99ac3948f5fee32fcc07bf2c3af","target":"graph","created_at":"2026-05-18T04:22:40Z","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":"The general construction of frames of p-adic wavelets is described. We consider the orbit of a mean zero generic locally constant function with compact support (mean zero test function) with respect to the action of the p-adic affine group and show that this orbit is a uniform tight frame. We discuss relation of this result to the multiresolution wavelet analysis.","authors_text":"S. Albeverio, S.V. Kozyrev","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-01-30T17:01:30Z","title":"Frames of p-adic wavelets and orbits of the affine group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.4713","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:d3ebd2cfa1cc9fec6901689d831d786ffad36d8a47c89b8eae317465050ce2bc","target":"record","created_at":"2026-05-18T04:22:40Z","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":"a6dfb2b368c6026fcf9a296ec112cb8e9100b9ef90ed5c88871d1467e92420e8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-01-30T17:01:30Z","title_canon_sha256":"f41edd24e55922cd015a41b1d3b2702256d213855bc1ad0988f68ffd5a398f09"},"schema_version":"1.0","source":{"id":"0801.4713","kind":"arxiv","version":2}},"canonical_sha256":"dac8c332f3d3b7cdbadff113295b7cd83ff1c02fc63fea2f0b23f28c0f39a28f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dac8c332f3d3b7cdbadff113295b7cd83ff1c02fc63fea2f0b23f28c0f39a28f","first_computed_at":"2026-05-18T04:22:40.604173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:40.604173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o6f40aVWoTpVwWKPgE7cP21gzq7IQaCe3cApux7VkeoIV0zf7zVe36S3DAqbjsozilwB13RifnFKvMTF9CLGCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:40.604601Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.4713","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3ebd2cfa1cc9fec6901689d831d786ffad36d8a47c89b8eae317465050ce2bc","sha256:2fe52f6e53c0a6301402b54c17ee26e482ecc99ac3948f5fee32fcc07bf2c3af"],"state_sha256":"e80bdaa4a207106a9971321f3f6856d8b97213b12e66e7891b0589e116e9d33b"}