{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QGFJKTD6RIKMPWANWE6BH5SEOE","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":"261583a5e2ddc830c9ee2060d976d68ec9950a8139e878e9e65c2774bba4c753","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-09T15:50:11Z","title_canon_sha256":"9571c659c29179cc974ffe0b6bc1256f1f33c0a3f984d7710aebe0439ec5de08"},"schema_version":"1.0","source":{"id":"1702.02866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02866","created_at":"2026-05-18T00:51:02Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02866v1","created_at":"2026-05-18T00:51:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02866","created_at":"2026-05-18T00:51:02Z"},{"alias_kind":"pith_short_12","alias_value":"QGFJKTD6RIKM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QGFJKTD6RIKMPWAN","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QGFJKTD6","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:e32b725259953cece476e79c6c877e0a7fb9e64366265d0557425bd2db944e3a","target":"graph","created_at":"2026-05-18T00:51:02Z","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 obtain the fundamental solution kernel of dyadic diffusions in $\\mathbb{R}^+$ as a Central Limit of dyadic mollification of iterations of stable Markov kernels. The main tool is provided by the substitution of classical Fourier analysis by Haar wavelet analysis.","authors_text":"Federico Morana, Hugo Aimar, Ivana G\\'omez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-09T15:50:11Z","title":"The dyadic fractional diffusion kernel as a central limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02866","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:da456667df36db1bd92b76c7296816c7ae95db61e319cdbe389605088d25893b","target":"record","created_at":"2026-05-18T00:51:02Z","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":"261583a5e2ddc830c9ee2060d976d68ec9950a8139e878e9e65c2774bba4c753","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-09T15:50:11Z","title_canon_sha256":"9571c659c29179cc974ffe0b6bc1256f1f33c0a3f984d7710aebe0439ec5de08"},"schema_version":"1.0","source":{"id":"1702.02866","kind":"arxiv","version":1}},"canonical_sha256":"818a954c7e8a14c7d80db13c13f6447125c53f61ab502b7cd691ab64d91b5ae1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"818a954c7e8a14c7d80db13c13f6447125c53f61ab502b7cd691ab64d91b5ae1","first_computed_at":"2026-05-18T00:51:02.226194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:02.226194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UKsDzWhVlqWM1IRkjXKkuNRAKrNxZlAMehCGoXSmG9hewCue1zVwre5Dffspy9tNpZetRFnJph0xz8GwPRMlDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:02.226627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da456667df36db1bd92b76c7296816c7ae95db61e319cdbe389605088d25893b","sha256:e32b725259953cece476e79c6c877e0a7fb9e64366265d0557425bd2db944e3a"],"state_sha256":"f814f480a66e80aaa7b95faa8756d5e1e27e75162a6340c092c0e362a1d29d66"}