{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:VU2K2Z6W5YUX6EY56TOQKR2336","short_pith_number":"pith:VU2K2Z6W","canonical_record":{"source":{"id":"math/0509559","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2005-09-23T14:55:30Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"88b296b9a7a21a19078af26d9152dd8f66808b1ed929ca85fa86901fb31e3d75","abstract_canon_sha256":"091093d535f803246867ee50273922222976446e7ac8d4d8ac85bff682d905c4"},"schema_version":"1.0"},"canonical_sha256":"ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec","source":{"kind":"arxiv","id":"math/0509559","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0509559","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"math/0509559v2","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0509559","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"VU2K2Z6W5YUX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"VU2K2Z6W5YUX6EY5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"VU2K2Z6W","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:VU2K2Z6W5YUX6EY56TOQKR2336","target":"record","payload":{"canonical_record":{"source":{"id":"math/0509559","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2005-09-23T14:55:30Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"88b296b9a7a21a19078af26d9152dd8f66808b1ed929ca85fa86901fb31e3d75","abstract_canon_sha256":"091093d535f803246867ee50273922222976446e7ac8d4d8ac85bff682d905c4"},"schema_version":"1.0"},"canonical_sha256":"ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:35.390112Z","signature_b64":"8nL/oyDYO/uT9KBIXhIomcqgMW2zJggV0okec2klZBwNbhEz/3suxeDyO4+h2hdGMAzedGXR5988NgJe6TL0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec","last_reissued_at":"2026-05-18T04:32:35.389631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:35.389631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0509559","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3JP/PW4IzDyJad+/Ax3bOwyRoL16zHnTbsB99V1UZYfzofhgrRldZiFAqs5ggVy053PtJv7at8PWb3bQRKfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:05:37.788034Z"},"content_sha256":"3404306b7b793402689f14c6bcbadaa1c2f42956447cca7f948dd734581f9a57","schema_version":"1.0","event_id":"sha256:3404306b7b793402689f14c6bcbadaa1c2f42956447cca7f948dd734581f9a57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:VU2K2Z6W5YUX6EY56TOQKR2336","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A distributional limit law for the continued fraction digit sum","license":"","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NT","authors_text":"Marc Kesseb\\\"ohmer, Mehdi Slassi","submitted_at":"2005-09-23T14:55:30Z","abstract_excerpt":"We consider the continued fraction digits as random variables measured with respect to Lebesgue measure. The logarithmically scaled and normalized fluctuation process of the digit sums converges strongly distributional to a random variable uniformly distributed on the unit interval. For this process normalized linearly we determine a large deviation asymptotic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509559","kind":"arxiv","version":2},"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":"2026-05-18T04:32:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"roAxyXirp2jyxSWdlZXN4S+pnY8/V18ziREZcETOe/S9fwyu8drTjEeuHci9IyrxDf8UsoYdCBOZH+NEBL8LAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:05:37.788420Z"},"content_sha256":"51ee1532c1642bde4d2805baac9aeb42588b37fa2059aee8bbf37dd0f44d32d2","schema_version":"1.0","event_id":"sha256:51ee1532c1642bde4d2805baac9aeb42588b37fa2059aee8bbf37dd0f44d32d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VU2K2Z6W5YUX6EY56TOQKR2336/bundle.json","state_url":"https://pith.science/pith/VU2K2Z6W5YUX6EY56TOQKR2336/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VU2K2Z6W5YUX6EY56TOQKR2336/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":"2026-06-23T17:05:37Z","links":{"resolver":"https://pith.science/pith/VU2K2Z6W5YUX6EY56TOQKR2336","bundle":"https://pith.science/pith/VU2K2Z6W5YUX6EY56TOQKR2336/bundle.json","state":"https://pith.science/pith/VU2K2Z6W5YUX6EY56TOQKR2336/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VU2K2Z6W5YUX6EY56TOQKR2336/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:VU2K2Z6W5YUX6EY56TOQKR2336","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":"091093d535f803246867ee50273922222976446e7ac8d4d8ac85bff682d905c4","cross_cats_sorted":["math.DS"],"license":"","primary_cat":"math.NT","submitted_at":"2005-09-23T14:55:30Z","title_canon_sha256":"88b296b9a7a21a19078af26d9152dd8f66808b1ed929ca85fa86901fb31e3d75"},"schema_version":"1.0","source":{"id":"math/0509559","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0509559","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"math/0509559v2","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0509559","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"VU2K2Z6W5YUX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"VU2K2Z6W5YUX6EY5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"VU2K2Z6W","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:51ee1532c1642bde4d2805baac9aeb42588b37fa2059aee8bbf37dd0f44d32d2","target":"graph","created_at":"2026-05-18T04:32:35Z","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 consider the continued fraction digits as random variables measured with respect to Lebesgue measure. The logarithmically scaled and normalized fluctuation process of the digit sums converges strongly distributional to a random variable uniformly distributed on the unit interval. For this process normalized linearly we determine a large deviation asymptotic.","authors_text":"Marc Kesseb\\\"ohmer, Mehdi Slassi","cross_cats":["math.DS"],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"2005-09-23T14:55:30Z","title":"A distributional limit law for the continued fraction digit sum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509559","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":"sha256:3404306b7b793402689f14c6bcbadaa1c2f42956447cca7f948dd734581f9a57","target":"record","created_at":"2026-05-18T04:32:35Z","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":"091093d535f803246867ee50273922222976446e7ac8d4d8ac85bff682d905c4","cross_cats_sorted":["math.DS"],"license":"","primary_cat":"math.NT","submitted_at":"2005-09-23T14:55:30Z","title_canon_sha256":"88b296b9a7a21a19078af26d9152dd8f66808b1ed929ca85fa86901fb31e3d75"},"schema_version":"1.0","source":{"id":"math/0509559","kind":"arxiv","version":2}},"canonical_sha256":"ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec","first_computed_at":"2026-05-18T04:32:35.389631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:35.389631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8nL/oyDYO/uT9KBIXhIomcqgMW2zJggV0okec2klZBwNbhEz/3suxeDyO4+h2hdGMAzedGXR5988NgJe6TL0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:35.390112Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0509559","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3404306b7b793402689f14c6bcbadaa1c2f42956447cca7f948dd734581f9a57","sha256:51ee1532c1642bde4d2805baac9aeb42588b37fa2059aee8bbf37dd0f44d32d2"],"state_sha256":"9859d00908acf6e0663ac6052693d3c644ece6e3f48ba81967a2eca0efb2c634"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYHLbSxsLFYA/gRmvSt4QEV83hiNtxxSiS3RmzFFHY14iBtit421fhtkCV/aYKn9mn65hQ+eZm9YgYkKdyq9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:05:37.790354Z","bundle_sha256":"ffc4263fbf048c84fff6e758622415d443018612ca2f4f42a93cc376cb1f03ed"}}