{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:SZ3RRZUR7I57HIJ5YZKA3ASPUF","short_pith_number":"pith:SZ3RRZUR","canonical_record":{"source":{"id":"0906.5238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-06-29T11:12:53Z","cross_cats_sorted":[],"title_canon_sha256":"bc021d2a3303d96ea14c20adf0be09660484cf002a9f6a8221f4db62c28797ae","abstract_canon_sha256":"183ca9a122b7b33ec9665a124de47496c87036638388bd82a14c48f8a3a56d55"},"schema_version":"1.0"},"canonical_sha256":"967718e691fa3bf3a13dc6540d824fa1562b41952b84f48083abf70b81c278f3","source":{"kind":"arxiv","id":"0906.5238","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5238","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5238v1","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5238","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"SZ3RRZUR7I57","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SZ3RRZUR7I57HIJ5","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SZ3RRZUR","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:SZ3RRZUR7I57HIJ5YZKA3ASPUF","target":"record","payload":{"canonical_record":{"source":{"id":"0906.5238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-06-29T11:12:53Z","cross_cats_sorted":[],"title_canon_sha256":"bc021d2a3303d96ea14c20adf0be09660484cf002a9f6a8221f4db62c28797ae","abstract_canon_sha256":"183ca9a122b7b33ec9665a124de47496c87036638388bd82a14c48f8a3a56d55"},"schema_version":"1.0"},"canonical_sha256":"967718e691fa3bf3a13dc6540d824fa1562b41952b84f48083abf70b81c278f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:12.045938Z","signature_b64":"7K0UcbzmI+f864v2KqAHEK1SbpUr9iO/PLoMMVXjtLD3KgWcqf48oFNFaDPs9UYyNNn5Upz1mlfF+7egLL7kCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"967718e691fa3bf3a13dc6540d824fa1562b41952b84f48083abf70b81c278f3","last_reissued_at":"2026-05-18T02:13:12.045586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:12.045586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.5238","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":"2026-05-18T02:13:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xwpo0ZQ6Nr5ExlTVlLj3HheavXAjSogh1GvvUzrQNtB+3olUnEPhe7fgg37Ti8GAnw2BKrBjsX98MzgbK1tUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:28:27.670363Z"},"content_sha256":"6041fd7b370ee478297432a5919ccc77d555f914b6b1aea91059712c96c59339","schema_version":"1.0","event_id":"sha256:6041fd7b370ee478297432a5919ccc77d555f914b6b1aea91059712c96c59339"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:SZ3RRZUR7I57HIJ5YZKA3ASPUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Method Of Thue-Siegel For Binary Quartic Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Shabnam Akhtari","submitted_at":"2009-06-29T11:12:53Z","abstract_excerpt":"We will use Thue-Siegel method, based on Pad\\'e approximation via hypergeometric functions, to give upper bounds for the number of integral solutions to the equation $|F(x, y)| = 1$ as well as the inequalities $|F(x, y)| \\leq h$, for a certain family of irreducible quartic binary forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5238","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":"2026-05-18T02:13:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1dvtRe3r1PpD4BQxV94MZQL314e+xSpdgYznyeDOnlDZIKUfTY8oR1d/uY/oKQjlXOtYjwk3dr1/ph2zG6sBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:28:27.670711Z"},"content_sha256":"9df88da067df8893267e90650eef097ca6136f3aa6abce8d72c0ba5f69604f7e","schema_version":"1.0","event_id":"sha256:9df88da067df8893267e90650eef097ca6136f3aa6abce8d72c0ba5f69604f7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF/bundle.json","state_url":"https://pith.science/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF/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":"2026-07-03T17:28:27Z","links":{"resolver":"https://pith.science/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF","bundle":"https://pith.science/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF/bundle.json","state":"https://pith.science/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZ3RRZUR7I57HIJ5YZKA3ASPUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SZ3RRZUR7I57HIJ5YZKA3ASPUF","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":"183ca9a122b7b33ec9665a124de47496c87036638388bd82a14c48f8a3a56d55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-06-29T11:12:53Z","title_canon_sha256":"bc021d2a3303d96ea14c20adf0be09660484cf002a9f6a8221f4db62c28797ae"},"schema_version":"1.0","source":{"id":"0906.5238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5238","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5238v1","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5238","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"SZ3RRZUR7I57","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SZ3RRZUR7I57HIJ5","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SZ3RRZUR","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:9df88da067df8893267e90650eef097ca6136f3aa6abce8d72c0ba5f69604f7e","target":"graph","created_at":"2026-05-18T02:13:12Z","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 will use Thue-Siegel method, based on Pad\\'e approximation via hypergeometric functions, to give upper bounds for the number of integral solutions to the equation $|F(x, y)| = 1$ as well as the inequalities $|F(x, y)| \\leq h$, for a certain family of irreducible quartic binary forms.","authors_text":"Shabnam Akhtari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-06-29T11:12:53Z","title":"The Method Of Thue-Siegel For Binary Quartic Forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5238","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":"sha256:6041fd7b370ee478297432a5919ccc77d555f914b6b1aea91059712c96c59339","target":"record","created_at":"2026-05-18T02:13:12Z","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":"183ca9a122b7b33ec9665a124de47496c87036638388bd82a14c48f8a3a56d55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-06-29T11:12:53Z","title_canon_sha256":"bc021d2a3303d96ea14c20adf0be09660484cf002a9f6a8221f4db62c28797ae"},"schema_version":"1.0","source":{"id":"0906.5238","kind":"arxiv","version":1}},"canonical_sha256":"967718e691fa3bf3a13dc6540d824fa1562b41952b84f48083abf70b81c278f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"967718e691fa3bf3a13dc6540d824fa1562b41952b84f48083abf70b81c278f3","first_computed_at":"2026-05-18T02:13:12.045586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:12.045586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7K0UcbzmI+f864v2KqAHEK1SbpUr9iO/PLoMMVXjtLD3KgWcqf48oFNFaDPs9UYyNNn5Upz1mlfF+7egLL7kCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:12.045938Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.5238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6041fd7b370ee478297432a5919ccc77d555f914b6b1aea91059712c96c59339","sha256:9df88da067df8893267e90650eef097ca6136f3aa6abce8d72c0ba5f69604f7e"],"state_sha256":"0a8efb6e34d3e96a6bd0a0438852cb4c2d5af2aac6c54ab860b425cab2fcbe00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9xB1gGAbaUPNy9s3SIl7jN2fCcpvD/farTETN6IVmzErWEiS8XgEvFU5rX9vLgEJa8zGTajZvfN3gF3r+sWBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T17:28:27.672644Z","bundle_sha256":"7c92bec37c22421d09cacd0a6e94b2d57cc72475b655f9d4460ef0c03f2a56fa"}}