{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:F7TORNSXROVBKH5VOO6RFGLLDW","short_pith_number":"pith:F7TORNSX","canonical_record":{"source":{"id":"1804.01888","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-04T02:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"97a238149584b12ca1bb6884e19accaa35ff1557cf57c82c70e28c560f233ab2","abstract_canon_sha256":"d3a9205b4ab1edc2b23f4cf18f487a0f4cbd1096e0669c80d81d90ae59e4ec37"},"schema_version":"1.0"},"canonical_sha256":"2fe6e8b6578baa151fb573bd12996b1da0573cb6460368e43a3d5428b7c54f96","source":{"kind":"arxiv","id":"1804.01888","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01888","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01888v2","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01888","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"F7TORNSXROVB","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F7TORNSXROVBKH5V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F7TORNSX","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:F7TORNSXROVBKH5VOO6RFGLLDW","target":"record","payload":{"canonical_record":{"source":{"id":"1804.01888","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-04T02:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"97a238149584b12ca1bb6884e19accaa35ff1557cf57c82c70e28c560f233ab2","abstract_canon_sha256":"d3a9205b4ab1edc2b23f4cf18f487a0f4cbd1096e0669c80d81d90ae59e4ec37"},"schema_version":"1.0"},"canonical_sha256":"2fe6e8b6578baa151fb573bd12996b1da0573cb6460368e43a3d5428b7c54f96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:58.590899Z","signature_b64":"ymjQyoZO+ssAS6M4doHX810qITBzEWK5O6WmpAuo8ewcg3nGjj1X1N+h0SV31Jk9fcX6RfXbYqtEc7hVfeDuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fe6e8b6578baa151fb573bd12996b1da0573cb6460368e43a3d5428b7c54f96","last_reissued_at":"2026-05-17T23:56:58.590283Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:58.590283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.01888","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":"2026-05-17T23:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mXAMf0kjWYuT/79EC6T2ermLgiIjZ3eEVswH0JRWo1gPMw3lZh/JDSkb3zy6lz3E5SQ3A7Dba+kOuzCxby2/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T18:13:29.708919Z"},"content_sha256":"86368f4c5251be5c4debc9552b6332aa508720a6af606f82d2b20dea4790e668","schema_version":"1.0","event_id":"sha256:86368f4c5251be5c4debc9552b6332aa508720a6af606f82d2b20dea4790e668"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:F7TORNSXROVBKH5VOO6RFGLLDW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Morita cancellation problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"D.-M. Lu, J.J. Zhang, Q.-S. Wu","submitted_at":"2018-04-04T02:32:18Z","abstract_excerpt":"We study Morita-equivalent version of the Zariski cancellation problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01888","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":"2026-05-17T23:56:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JEtJX/3HBcbCIqgo5hAm9IxRwzTpAn7iTyO6KWpg2yN2efOMWRgdAOkKa8iCVt1gnGIyjQUBTY3jdwn5WYajBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T18:13:29.709255Z"},"content_sha256":"d8f6d9beb47115627c9dbcaa6c0dd50f288b026bb81fdff7e31b0935f63bff34","schema_version":"1.0","event_id":"sha256:d8f6d9beb47115627c9dbcaa6c0dd50f288b026bb81fdff7e31b0935f63bff34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7TORNSXROVBKH5VOO6RFGLLDW/bundle.json","state_url":"https://pith.science/pith/F7TORNSXROVBKH5VOO6RFGLLDW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7TORNSXROVBKH5VOO6RFGLLDW/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":"2026-06-20T18:13:29Z","links":{"resolver":"https://pith.science/pith/F7TORNSXROVBKH5VOO6RFGLLDW","bundle":"https://pith.science/pith/F7TORNSXROVBKH5VOO6RFGLLDW/bundle.json","state":"https://pith.science/pith/F7TORNSXROVBKH5VOO6RFGLLDW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7TORNSXROVBKH5VOO6RFGLLDW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:F7TORNSXROVBKH5VOO6RFGLLDW","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":"d3a9205b4ab1edc2b23f4cf18f487a0f4cbd1096e0669c80d81d90ae59e4ec37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-04T02:32:18Z","title_canon_sha256":"97a238149584b12ca1bb6884e19accaa35ff1557cf57c82c70e28c560f233ab2"},"schema_version":"1.0","source":{"id":"1804.01888","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01888","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01888v2","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01888","created_at":"2026-05-17T23:56:58Z"},{"alias_kind":"pith_short_12","alias_value":"F7TORNSXROVB","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F7TORNSXROVBKH5V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F7TORNSX","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:d8f6d9beb47115627c9dbcaa6c0dd50f288b026bb81fdff7e31b0935f63bff34","target":"graph","created_at":"2026-05-17T23:56:58Z","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 study Morita-equivalent version of the Zariski cancellation problem.","authors_text":"D.-M. Lu, J.J. Zhang, Q.-S. Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-04T02:32:18Z","title":"Morita cancellation problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01888","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":"sha256:86368f4c5251be5c4debc9552b6332aa508720a6af606f82d2b20dea4790e668","target":"record","created_at":"2026-05-17T23:56:58Z","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":"d3a9205b4ab1edc2b23f4cf18f487a0f4cbd1096e0669c80d81d90ae59e4ec37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-04T02:32:18Z","title_canon_sha256":"97a238149584b12ca1bb6884e19accaa35ff1557cf57c82c70e28c560f233ab2"},"schema_version":"1.0","source":{"id":"1804.01888","kind":"arxiv","version":2}},"canonical_sha256":"2fe6e8b6578baa151fb573bd12996b1da0573cb6460368e43a3d5428b7c54f96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fe6e8b6578baa151fb573bd12996b1da0573cb6460368e43a3d5428b7c54f96","first_computed_at":"2026-05-17T23:56:58.590283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:58.590283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ymjQyoZO+ssAS6M4doHX810qITBzEWK5O6WmpAuo8ewcg3nGjj1X1N+h0SV31Jk9fcX6RfXbYqtEc7hVfeDuBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:58.590899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01888","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86368f4c5251be5c4debc9552b6332aa508720a6af606f82d2b20dea4790e668","sha256:d8f6d9beb47115627c9dbcaa6c0dd50f288b026bb81fdff7e31b0935f63bff34"],"state_sha256":"57ab0571498125073bc398e4fbaac4fa814cd65a847dee259b756cc7661d1f44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqv9pNpUCTasIYj9Ei6J/b9G94qviVAXIr4V3+8qmuTo949XmWHW3y3jTuXwAa/YuyZsHiQOWePiPy/cJw6EDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T18:13:29.711092Z","bundle_sha256":"b2a5585ada868b8f000fcec46a11b0f256a5a278b8dc0f51663e1e688f3c3e2e"}}