{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HTEE4MUEI4ZEB65OSIOX6BJROB","short_pith_number":"pith:HTEE4MUE","canonical_record":{"source":{"id":"1202.4539","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T06:47:47Z","cross_cats_sorted":[],"title_canon_sha256":"2dc816b5147aaf910a0fd0ddb7409595879ffc8d29ce1450ad90350ef1d76f2f","abstract_canon_sha256":"cb7fab527b217d7154463d5365fc155b1ffff698a7b522ea6d73181a23d35c22"},"schema_version":"1.0"},"canonical_sha256":"3cc84e3284473240fbae921d7f0531707546e3fdc58f1e8c09cf8181fbe429b7","source":{"kind":"arxiv","id":"1202.4539","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4539","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4539v5","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4539","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"pith_short_12","alias_value":"HTEE4MUEI4ZE","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HTEE4MUEI4ZEB65O","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HTEE4MUE","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HTEE4MUEI4ZEB65OSIOX6BJROB","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4539","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T06:47:47Z","cross_cats_sorted":[],"title_canon_sha256":"2dc816b5147aaf910a0fd0ddb7409595879ffc8d29ce1450ad90350ef1d76f2f","abstract_canon_sha256":"cb7fab527b217d7154463d5365fc155b1ffff698a7b522ea6d73181a23d35c22"},"schema_version":"1.0"},"canonical_sha256":"3cc84e3284473240fbae921d7f0531707546e3fdc58f1e8c09cf8181fbe429b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:53.054985Z","signature_b64":"iUrXtli3hXfbt0vdlOU+dJjQBVOQfXMgku9vbiTEGN6wubFkDVcZHx3FkhKM8rzNMu9FpEBRzwiWtnv6LaLLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cc84e3284473240fbae921d7f0531707546e3fdc58f1e8c09cf8181fbe429b7","last_reissued_at":"2026-05-18T03:37:53.054454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:53.054454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4539","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tNxBr3BVA1HNtbqgmV2dkFvrWmLh2qPXVe4AfDVgPIVIQmaOBDKAI4YJnWB/0JW+TzUf3gTBkacP1bjQUnbEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T00:02:28.617560Z"},"content_sha256":"44b21328f5f84c3f22e3c2de9c0a826b43d14677ab7fdea38b6f9bf66fe9a600","schema_version":"1.0","event_id":"sha256:44b21328f5f84c3f22e3c2de9c0a826b43d14677ab7fdea38b6f9bf66fe9a600"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HTEE4MUEI4ZEB65OSIOX6BJROB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On some open problems in Diophantine approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Nikolay G. Moshchevitin","submitted_at":"2012-02-21T06:47:47Z","abstract_excerpt":"We discuss several open problems in Diophantine approximation. Among them there are famous Littlewood's and Zaremba's conjectures as well as some new and not so famous problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4539","kind":"arxiv","version":5},"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":"2026-05-18T03:37:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1guLZq1D947xrZCJBPfE3klF33Q8tv63ppEE4sMjSKxUBS6/3TCPRlY2gwqtcdGkS2YRekJeXdh1Ovk//eBjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T00:02:28.619326Z"},"content_sha256":"b571a97676072da40ec315032f0e946b7252789578a95d73dbf94c304b5418f6","schema_version":"1.0","event_id":"sha256:b571a97676072da40ec315032f0e946b7252789578a95d73dbf94c304b5418f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HTEE4MUEI4ZEB65OSIOX6BJROB/bundle.json","state_url":"https://pith.science/pith/HTEE4MUEI4ZEB65OSIOX6BJROB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HTEE4MUEI4ZEB65OSIOX6BJROB/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":"2026-08-13T00:02:28Z","links":{"resolver":"https://pith.science/pith/HTEE4MUEI4ZEB65OSIOX6BJROB","bundle":"https://pith.science/pith/HTEE4MUEI4ZEB65OSIOX6BJROB/bundle.json","state":"https://pith.science/pith/HTEE4MUEI4ZEB65OSIOX6BJROB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HTEE4MUEI4ZEB65OSIOX6BJROB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HTEE4MUEI4ZEB65OSIOX6BJROB","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":"cb7fab527b217d7154463d5365fc155b1ffff698a7b522ea6d73181a23d35c22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T06:47:47Z","title_canon_sha256":"2dc816b5147aaf910a0fd0ddb7409595879ffc8d29ce1450ad90350ef1d76f2f"},"schema_version":"1.0","source":{"id":"1202.4539","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4539","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4539v5","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4539","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"pith_short_12","alias_value":"HTEE4MUEI4ZE","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HTEE4MUEI4ZEB65O","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HTEE4MUE","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:b571a97676072da40ec315032f0e946b7252789578a95d73dbf94c304b5418f6","target":"graph","created_at":"2026-05-18T03:37:53Z","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 discuss several open problems in Diophantine approximation. Among them there are famous Littlewood's and Zaremba's conjectures as well as some new and not so famous problems.","authors_text":"Nikolay G. Moshchevitin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T06:47:47Z","title":"On some open problems in Diophantine approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4539","kind":"arxiv","version":5},"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":"sha256:44b21328f5f84c3f22e3c2de9c0a826b43d14677ab7fdea38b6f9bf66fe9a600","target":"record","created_at":"2026-05-18T03:37:53Z","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":"cb7fab527b217d7154463d5365fc155b1ffff698a7b522ea6d73181a23d35c22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T06:47:47Z","title_canon_sha256":"2dc816b5147aaf910a0fd0ddb7409595879ffc8d29ce1450ad90350ef1d76f2f"},"schema_version":"1.0","source":{"id":"1202.4539","kind":"arxiv","version":5}},"canonical_sha256":"3cc84e3284473240fbae921d7f0531707546e3fdc58f1e8c09cf8181fbe429b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cc84e3284473240fbae921d7f0531707546e3fdc58f1e8c09cf8181fbe429b7","first_computed_at":"2026-05-18T03:37:53.054454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:53.054454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iUrXtli3hXfbt0vdlOU+dJjQBVOQfXMgku9vbiTEGN6wubFkDVcZHx3FkhKM8rzNMu9FpEBRzwiWtnv6LaLLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:53.054985Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4539","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44b21328f5f84c3f22e3c2de9c0a826b43d14677ab7fdea38b6f9bf66fe9a600","sha256:b571a97676072da40ec315032f0e946b7252789578a95d73dbf94c304b5418f6"],"state_sha256":"898c714afb041daf28b51b9348424596fc6c812aef5d2e57ea391aa545dd0a57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/O0vFf7SpFmuhKiwjpqN5d/djqbMDvudBhispS+MDLzw6wpxEDDPY2RUg8JoNsowQ4mmHs5a312EUthQ/TqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T00:02:28.628983Z","bundle_sha256":"d328e581133b4797a03bcb59c07644cd3b9306aa93f4d4c04a1b76b214bdfae8"}}