{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:M4KTOF46776KYINITSOC3CVT3C","short_pith_number":"pith:M4KTOF46","canonical_record":{"source":{"id":"2112.00620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-11-29T16:59:08Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"183f32e1a94bc4ce03cc0666fd771f7d9b389ca1ca9753f1a8530b672329605c","abstract_canon_sha256":"5b7520c34598f4bd076baddd8f2e6478d9953ad0c50ccd447497caf167e58d5d"},"schema_version":"1.0"},"canonical_sha256":"671537179efffcac21a89c9c2d8ab3d8941be6aeadfa8a81a063111904592ed4","source":{"kind":"arxiv","id":"2112.00620","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.00620","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"2112.00620v1","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.00620","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"M4KTOF46776K","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"pith_short_16","alias_value":"M4KTOF46776KYINI","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"pith_short_8","alias_value":"M4KTOF46","created_at":"2026-07-05T03:36:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:M4KTOF46776KYINITSOC3CVT3C","target":"record","payload":{"canonical_record":{"source":{"id":"2112.00620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-11-29T16:59:08Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"183f32e1a94bc4ce03cc0666fd771f7d9b389ca1ca9753f1a8530b672329605c","abstract_canon_sha256":"5b7520c34598f4bd076baddd8f2e6478d9953ad0c50ccd447497caf167e58d5d"},"schema_version":"1.0"},"canonical_sha256":"671537179efffcac21a89c9c2d8ab3d8941be6aeadfa8a81a063111904592ed4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:36:48.766264Z","signature_b64":"+YAalqbSRpkyotsA2PmOxePIemyMkGgU3T4cjXle/5OaSHPkrGplCw6D9ArFfYf67MUkAnMnbKUeEWhWETINCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"671537179efffcac21a89c9c2d8ab3d8941be6aeadfa8a81a063111904592ed4","last_reissued_at":"2026-07-05T03:36:48.765845Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:36:48.765845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.00620","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":"2026-07-05T03:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lyi79SREP7su6JBwZ6WKU3CF1KtWRRrniVCB9QUFcyBDztCGmcdQjhVAhHGyePMbmsmse8g+RJFpJ8aVttUaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T23:14:12.678853Z"},"content_sha256":"35c83c7ef6e6f8829bc7602f88674700ebaf39316c79352a8886b2d65fa5e66f","schema_version":"1.0","event_id":"sha256:35c83c7ef6e6f8829bc7602f88674700ebaf39316c79352a8886b2d65fa5e66f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:M4KTOF46776KYINITSOC3CVT3C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On exponential diophantine equations over $\\mathbb Q$ with few unknowns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.NT","authors_text":"Zhi-Wei Sun","submitted_at":"2021-11-29T16:59:08Z","abstract_excerpt":"In this paper we obtain three undecidable results for exponential diophantine equations over the field $\\mathbb Q$ of rational numbers. For example, we prove that there is no algorithm to decide the solvability of a general exponential diophantine equation $F(x_1,\\ldots,x_{8})=0$ over $\\mathbb Q$ with eight unknowns."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00620","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.00620/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+g4KZIXdsmZzM+G4kDtDKzQGzwUiFmgODHfAY3sUJtKzqVFavf6flBCXt4fNapZSs4Rh4tRvW0iyNHB3gq6pCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T23:14:12.679381Z"},"content_sha256":"9140c235ef186abc449e196d4a225672f105126f1ec61649690b46c21bdad8e3","schema_version":"1.0","event_id":"sha256:9140c235ef186abc449e196d4a225672f105126f1ec61649690b46c21bdad8e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M4KTOF46776KYINITSOC3CVT3C/bundle.json","state_url":"https://pith.science/pith/M4KTOF46776KYINITSOC3CVT3C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M4KTOF46776KYINITSOC3CVT3C/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":"2026-08-03T23:14:12Z","links":{"resolver":"https://pith.science/pith/M4KTOF46776KYINITSOC3CVT3C","bundle":"https://pith.science/pith/M4KTOF46776KYINITSOC3CVT3C/bundle.json","state":"https://pith.science/pith/M4KTOF46776KYINITSOC3CVT3C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M4KTOF46776KYINITSOC3CVT3C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:M4KTOF46776KYINITSOC3CVT3C","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":"5b7520c34598f4bd076baddd8f2e6478d9953ad0c50ccd447497caf167e58d5d","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-11-29T16:59:08Z","title_canon_sha256":"183f32e1a94bc4ce03cc0666fd771f7d9b389ca1ca9753f1a8530b672329605c"},"schema_version":"1.0","source":{"id":"2112.00620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.00620","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"2112.00620v1","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.00620","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"M4KTOF46776K","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"pith_short_16","alias_value":"M4KTOF46776KYINI","created_at":"2026-07-05T03:36:48Z"},{"alias_kind":"pith_short_8","alias_value":"M4KTOF46","created_at":"2026-07-05T03:36:48Z"}],"graph_snapshots":[{"event_id":"sha256:9140c235ef186abc449e196d4a225672f105126f1ec61649690b46c21bdad8e3","target":"graph","created_at":"2026-07-05T03:36:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.00620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we obtain three undecidable results for exponential diophantine equations over the field $\\mathbb Q$ of rational numbers. For example, we prove that there is no algorithm to decide the solvability of a general exponential diophantine equation $F(x_1,\\ldots,x_{8})=0$ over $\\mathbb Q$ with eight unknowns.","authors_text":"Zhi-Wei Sun","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-11-29T16:59:08Z","title":"On exponential diophantine equations over $\\mathbb Q$ with few unknowns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00620","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":"sha256:35c83c7ef6e6f8829bc7602f88674700ebaf39316c79352a8886b2d65fa5e66f","target":"record","created_at":"2026-07-05T03:36:48Z","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":"5b7520c34598f4bd076baddd8f2e6478d9953ad0c50ccd447497caf167e58d5d","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-11-29T16:59:08Z","title_canon_sha256":"183f32e1a94bc4ce03cc0666fd771f7d9b389ca1ca9753f1a8530b672329605c"},"schema_version":"1.0","source":{"id":"2112.00620","kind":"arxiv","version":1}},"canonical_sha256":"671537179efffcac21a89c9c2d8ab3d8941be6aeadfa8a81a063111904592ed4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"671537179efffcac21a89c9c2d8ab3d8941be6aeadfa8a81a063111904592ed4","first_computed_at":"2026-07-05T03:36:48.765845Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:36:48.765845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+YAalqbSRpkyotsA2PmOxePIemyMkGgU3T4cjXle/5OaSHPkrGplCw6D9ArFfYf67MUkAnMnbKUeEWhWETINCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:36:48.766264Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.00620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35c83c7ef6e6f8829bc7602f88674700ebaf39316c79352a8886b2d65fa5e66f","sha256:9140c235ef186abc449e196d4a225672f105126f1ec61649690b46c21bdad8e3"],"state_sha256":"9fc96bf28b0386bd57a3da699e9ac726e8899df14830c5874220b826f4dd1c12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ctVnB3IqJmQF545YSQU+UdIyxyycQkomGH4Z8H7wns6djb38mvaFsZ1n2Ik7HgGBiH4YULQvjX0AsjrJDWpDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T23:14:12.682826Z","bundle_sha256":"be9283479e0428285073aaf3d497df12e04266fe87465dc13d4c5b567044daa8"}}