{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:RLVBOO5N3SISAJFJCMCS5XOR6F","short_pith_number":"pith:RLVBOO5N","canonical_record":{"source":{"id":"math/0511681","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2005-11-28T13:55:50Z","cross_cats_sorted":[],"title_canon_sha256":"c69af13b989a6da890f0288cacd0086b03c72863a0558331d712aa02a940e481","abstract_canon_sha256":"0e12a0f2357ea93655ce7a454e1d20bfe9f008c3c482ae8f0edebd3819b3f677"},"schema_version":"1.0"},"canonical_sha256":"8aea173baddc912024a913052eddd1f16d9486940b2e33dbde5dc3580d8654f9","source":{"kind":"arxiv","id":"math/0511681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0511681","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"arxiv_version","alias_value":"math/0511681v1","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0511681","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"pith_short_12","alias_value":"RLVBOO5N3SIS","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"RLVBOO5N3SISAJFJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"RLVBOO5N","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:RLVBOO5N3SISAJFJCMCS5XOR6F","target":"record","payload":{"canonical_record":{"source":{"id":"math/0511681","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2005-11-28T13:55:50Z","cross_cats_sorted":[],"title_canon_sha256":"c69af13b989a6da890f0288cacd0086b03c72863a0558331d712aa02a940e481","abstract_canon_sha256":"0e12a0f2357ea93655ce7a454e1d20bfe9f008c3c482ae8f0edebd3819b3f677"},"schema_version":"1.0"},"canonical_sha256":"8aea173baddc912024a913052eddd1f16d9486940b2e33dbde5dc3580d8654f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:23.231217Z","signature_b64":"nBMDh5jFmxmkhoyxqGIppfY6UmIaLGdSXcxKfXoR8vQ5y+HwPIIj1ASZJfz3y1hX053ve39flNQWff3LXBHOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8aea173baddc912024a913052eddd1f16d9486940b2e33dbde5dc3580d8654f9","last_reissued_at":"2026-05-18T03:56:23.230704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:23.230704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0511681","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":"2026-05-18T03:56:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JcjC7ndcfiWJXPSdvirYWrTWE3V/k3yYY2o9md6sdCQ5f0GtGZvExqg5WraE0pMqH9tPy0GBzUbJKDIcFJhrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T07:56:19.915657Z"},"content_sha256":"748ad0dd690518c370b434f0e48638a0572dee86bcbfc0a9cdce66d2f1655958","schema_version":"1.0","event_id":"sha256:748ad0dd690518c370b434f0e48638a0572dee86bcbfc0a9cdce66d2f1655958"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:RLVBOO5N3SISAJFJCMCS5XOR6F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Maillet--Baker continued fractions","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Boris Adamczewski (ICJ), Yann Bugeaud (IRMA)","submitted_at":"2005-11-28T13:55:50Z","abstract_excerpt":"We use the Schmidt Subspace Theorem to establish the transcendence of a class of quasi-periodic continued fractions. This improves earlier works of Maillet and of A. Baker. We also improve an old result of Davenport and Roth on the rate of increase of the denominators of the convergents to any real algebraic number."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511681","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":"2026-05-18T03:56:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YbpuxEHWTfuYjqwzhMVJSwwOe1h1nseUnjS+YQ3M9+ub4poa8gUrGILvjF/X+edOLopYv3FDevqcXybs+/YTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T07:56:19.915997Z"},"content_sha256":"36607c1ee64f9fc346a87fbeb2a7f355257572fa251eda43589eba9fb3d96dc7","schema_version":"1.0","event_id":"sha256:36607c1ee64f9fc346a87fbeb2a7f355257572fa251eda43589eba9fb3d96dc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLVBOO5N3SISAJFJCMCS5XOR6F/bundle.json","state_url":"https://pith.science/pith/RLVBOO5N3SISAJFJCMCS5XOR6F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLVBOO5N3SISAJFJCMCS5XOR6F/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":"2026-06-25T07:56:19Z","links":{"resolver":"https://pith.science/pith/RLVBOO5N3SISAJFJCMCS5XOR6F","bundle":"https://pith.science/pith/RLVBOO5N3SISAJFJCMCS5XOR6F/bundle.json","state":"https://pith.science/pith/RLVBOO5N3SISAJFJCMCS5XOR6F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLVBOO5N3SISAJFJCMCS5XOR6F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:RLVBOO5N3SISAJFJCMCS5XOR6F","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":"0e12a0f2357ea93655ce7a454e1d20bfe9f008c3c482ae8f0edebd3819b3f677","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2005-11-28T13:55:50Z","title_canon_sha256":"c69af13b989a6da890f0288cacd0086b03c72863a0558331d712aa02a940e481"},"schema_version":"1.0","source":{"id":"math/0511681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0511681","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"arxiv_version","alias_value":"math/0511681v1","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0511681","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"pith_short_12","alias_value":"RLVBOO5N3SIS","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"RLVBOO5N3SISAJFJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"RLVBOO5N","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:36607c1ee64f9fc346a87fbeb2a7f355257572fa251eda43589eba9fb3d96dc7","target":"graph","created_at":"2026-05-18T03:56:23Z","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 use the Schmidt Subspace Theorem to establish the transcendence of a class of quasi-periodic continued fractions. This improves earlier works of Maillet and of A. Baker. We also improve an old result of Davenport and Roth on the rate of increase of the denominators of the convergents to any real algebraic number.","authors_text":"Boris Adamczewski (ICJ), Yann Bugeaud (IRMA)","cross_cats":[],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"2005-11-28T13:55:50Z","title":"On the Maillet--Baker continued fractions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511681","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":"sha256:748ad0dd690518c370b434f0e48638a0572dee86bcbfc0a9cdce66d2f1655958","target":"record","created_at":"2026-05-18T03:56:23Z","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":"0e12a0f2357ea93655ce7a454e1d20bfe9f008c3c482ae8f0edebd3819b3f677","cross_cats_sorted":[],"license":"","primary_cat":"math.NT","submitted_at":"2005-11-28T13:55:50Z","title_canon_sha256":"c69af13b989a6da890f0288cacd0086b03c72863a0558331d712aa02a940e481"},"schema_version":"1.0","source":{"id":"math/0511681","kind":"arxiv","version":1}},"canonical_sha256":"8aea173baddc912024a913052eddd1f16d9486940b2e33dbde5dc3580d8654f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8aea173baddc912024a913052eddd1f16d9486940b2e33dbde5dc3580d8654f9","first_computed_at":"2026-05-18T03:56:23.230704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:23.230704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nBMDh5jFmxmkhoyxqGIppfY6UmIaLGdSXcxKfXoR8vQ5y+HwPIIj1ASZJfz3y1hX053ve39flNQWff3LXBHOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:23.231217Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0511681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:748ad0dd690518c370b434f0e48638a0572dee86bcbfc0a9cdce66d2f1655958","sha256:36607c1ee64f9fc346a87fbeb2a7f355257572fa251eda43589eba9fb3d96dc7"],"state_sha256":"6f3d7456eed607adbb6616ab84156db98e847ad57cbc2d27043507caf244039f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDrnkkWJQwfxCQCFFSwOzIUc3Sw6ehs+m6Hk0k/QlB8lL023hTPQoXLAdPyfjxc0/TaxXFkTNfS1Y5rAIRoJCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T07:56:19.917929Z","bundle_sha256":"2385d2b99de28d375f06287aa6aa20e5996d88e52f58d128556dff6013f0d780"}}