{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QC57AMST7I3H4FOJYL2ANY7EBV","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":"5fcabc318b6efa2e774358d6e715f501dd5da1866e14580a230b919992024773","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.PR","submitted_at":"2014-03-03T11:02:17Z","title_canon_sha256":"0fd4262029bfa9fb0be2bca0f2c9685822e6dafc15df397f3579fd83aaf46c7a"},"schema_version":"1.0","source":{"id":"1403.0386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0386","created_at":"2026-05-18T02:57:25Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0386v1","created_at":"2026-05-18T02:57:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0386","created_at":"2026-05-18T02:57:25Z"},{"alias_kind":"pith_short_12","alias_value":"QC57AMST7I3H","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QC57AMST7I3H4FOJ","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QC57AMST","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:3b3e93f878edb9c1800ea31fd27c99495cec0819a4be85be8265fbfa2bff4e18","target":"graph","created_at":"2026-05-18T02:57:25Z","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":"We provide several simple recursive formulae for the moment sequence of infinite Bernoulli convolution. We relate moments of one infinite Bernoulli convolution with others having different but related parameters. We give examples relating Euler numbers to the moments of infinite Bernoulli convolutions. One of the examples provides moment interpretation of Pell numbers as well as new identities satisfied by Pell and Lucas numbers.","authors_text":"Pawe{\\l} J. Szab{\\l}owski","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.PR","submitted_at":"2014-03-03T11:02:17Z","title":"On moments of Cantor and related distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0386","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":"sha256:681152cf9e48e76291c95832105578a088795044ac6e01eddc1f08bd61cfd9c3","target":"record","created_at":"2026-05-18T02:57:25Z","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":"5fcabc318b6efa2e774358d6e715f501dd5da1866e14580a230b919992024773","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.PR","submitted_at":"2014-03-03T11:02:17Z","title_canon_sha256":"0fd4262029bfa9fb0be2bca0f2c9685822e6dafc15df397f3579fd83aaf46c7a"},"schema_version":"1.0","source":{"id":"1403.0386","kind":"arxiv","version":1}},"canonical_sha256":"80bbf03253fa367e15c9c2f406e3e40d4cc88e9823e8f286b26555b75b7c1e2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80bbf03253fa367e15c9c2f406e3e40d4cc88e9823e8f286b26555b75b7c1e2a","first_computed_at":"2026-05-18T02:57:25.020966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:25.020966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+CkNyM6YmF2fwStZksbfTcUYq+Ntp8kf2i0b9ypn7lMOkWTm8MIKmcnULTUrcLUH/2R4JsXBu+qIIcoFuBWLAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:25.021648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:681152cf9e48e76291c95832105578a088795044ac6e01eddc1f08bd61cfd9c3","sha256:3b3e93f878edb9c1800ea31fd27c99495cec0819a4be85be8265fbfa2bff4e18"],"state_sha256":"217168ab76aed2858643decc69eb81b1d95f98c06e12085d675aec120765a81d"}