{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CN2FWDUWAPOJ6TOFX67II4F3HY","short_pith_number":"pith:CN2FWDUW","canonical_record":{"source":{"id":"1801.01370","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-30T14:22:54Z","cross_cats_sorted":[],"title_canon_sha256":"b50a3bb012a2105494ff5032d36ec15a338a8d05e5c74ca6f858b045a6d6cc71","abstract_canon_sha256":"9ee64a2ff22690650900462715d337d40e2a9683d9470cb539f905be3e234e3d"},"schema_version":"1.0"},"canonical_sha256":"13745b0e9603dc9f4dc5bfbe8470bb3e2274f4c456b9ec35c88518a81344dadb","source":{"kind":"arxiv","id":"1801.01370","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01370","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01370v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01370","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"CN2FWDUWAPOJ","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CN2FWDUWAPOJ6TOF","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CN2FWDUW","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CN2FWDUWAPOJ6TOFX67II4F3HY","target":"record","payload":{"canonical_record":{"source":{"id":"1801.01370","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-30T14:22:54Z","cross_cats_sorted":[],"title_canon_sha256":"b50a3bb012a2105494ff5032d36ec15a338a8d05e5c74ca6f858b045a6d6cc71","abstract_canon_sha256":"9ee64a2ff22690650900462715d337d40e2a9683d9470cb539f905be3e234e3d"},"schema_version":"1.0"},"canonical_sha256":"13745b0e9603dc9f4dc5bfbe8470bb3e2274f4c456b9ec35c88518a81344dadb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:42.320459Z","signature_b64":"eeMiF7uf4rp1LxiFUgOm4f130lE6Pt9DX8lxI7VpuZClkGMSY7xjYrYlgXcOtjKT1/miO7CzG7nIW1gOVc76Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13745b0e9603dc9f4dc5bfbe8470bb3e2274f4c456b9ec35c88518a81344dadb","last_reissued_at":"2026-05-18T00:26:42.319858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:42.319858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.01370","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NdTxijDdye1klPBs8aD5rCrPI/XOR/9cQvMSpk8fLr6MtXyp2UcPRCNusJYN6ZsAP3z7YhRQaAcE6dFQV53BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:40:40.044554Z"},"content_sha256":"c6a48c79e93fa515806db47117bdc5ce6bed23acc81657a97fb180741b2fcd4a","schema_version":"1.0","event_id":"sha256:c6a48c79e93fa515806db47117bdc5ce6bed23acc81657a97fb180741b2fcd4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CN2FWDUWAPOJ6TOFX67II4F3HY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note On Uniqueness Of Meromorphic Functions And Their Derivatives Sharing Two Sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Abhijit Banerjee, Bikash Chakraborty","submitted_at":"2017-12-30T14:22:54Z","abstract_excerpt":"In this paper, on the basis of a specific question raised in [6], we further continue our investigations on the uniqueness of a meromorphic function with its higher derivatives sharing two sets and answer the question affirmatively. Moreover, we exhibit some examples to show the sharpness of some conditions used in our main result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01370","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4vGNd70A+JRA/0jvfvUd0i5kc0WdYRvLbx2yWJtEh+fiDdkytLS7DQKiSMw3D45PGemIUZRAuawdGu/ukL/2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:40:40.044947Z"},"content_sha256":"ad2a2199a387d5b401a9aeb3306a9a461d0e86dc6cff5ae94c07959bdab1cad4","schema_version":"1.0","event_id":"sha256:ad2a2199a387d5b401a9aeb3306a9a461d0e86dc6cff5ae94c07959bdab1cad4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CN2FWDUWAPOJ6TOFX67II4F3HY/bundle.json","state_url":"https://pith.science/pith/CN2FWDUWAPOJ6TOFX67II4F3HY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CN2FWDUWAPOJ6TOFX67II4F3HY/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":"2026-05-30T08:40:40Z","links":{"resolver":"https://pith.science/pith/CN2FWDUWAPOJ6TOFX67II4F3HY","bundle":"https://pith.science/pith/CN2FWDUWAPOJ6TOFX67II4F3HY/bundle.json","state":"https://pith.science/pith/CN2FWDUWAPOJ6TOFX67II4F3HY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CN2FWDUWAPOJ6TOFX67II4F3HY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CN2FWDUWAPOJ6TOFX67II4F3HY","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":"9ee64a2ff22690650900462715d337d40e2a9683d9470cb539f905be3e234e3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-30T14:22:54Z","title_canon_sha256":"b50a3bb012a2105494ff5032d36ec15a338a8d05e5c74ca6f858b045a6d6cc71"},"schema_version":"1.0","source":{"id":"1801.01370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01370","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01370v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01370","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"CN2FWDUWAPOJ","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CN2FWDUWAPOJ6TOF","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CN2FWDUW","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:ad2a2199a387d5b401a9aeb3306a9a461d0e86dc6cff5ae94c07959bdab1cad4","target":"graph","created_at":"2026-05-18T00:26:42Z","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":"In this paper, on the basis of a specific question raised in [6], we further continue our investigations on the uniqueness of a meromorphic function with its higher derivatives sharing two sets and answer the question affirmatively. Moreover, we exhibit some examples to show the sharpness of some conditions used in our main result.","authors_text":"Abhijit Banerjee, Bikash Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-30T14:22:54Z","title":"A Note On Uniqueness Of Meromorphic Functions And Their Derivatives Sharing Two Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01370","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:c6a48c79e93fa515806db47117bdc5ce6bed23acc81657a97fb180741b2fcd4a","target":"record","created_at":"2026-05-18T00:26:42Z","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":"9ee64a2ff22690650900462715d337d40e2a9683d9470cb539f905be3e234e3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-12-30T14:22:54Z","title_canon_sha256":"b50a3bb012a2105494ff5032d36ec15a338a8d05e5c74ca6f858b045a6d6cc71"},"schema_version":"1.0","source":{"id":"1801.01370","kind":"arxiv","version":1}},"canonical_sha256":"13745b0e9603dc9f4dc5bfbe8470bb3e2274f4c456b9ec35c88518a81344dadb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13745b0e9603dc9f4dc5bfbe8470bb3e2274f4c456b9ec35c88518a81344dadb","first_computed_at":"2026-05-18T00:26:42.319858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:42.319858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eeMiF7uf4rp1LxiFUgOm4f130lE6Pt9DX8lxI7VpuZClkGMSY7xjYrYlgXcOtjKT1/miO7CzG7nIW1gOVc76Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:42.320459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6a48c79e93fa515806db47117bdc5ce6bed23acc81657a97fb180741b2fcd4a","sha256:ad2a2199a387d5b401a9aeb3306a9a461d0e86dc6cff5ae94c07959bdab1cad4"],"state_sha256":"93a41ebc2c17c524169003983c5ea377cb14699af03d9a56990256e587b23c1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hgo8Ol4MrZUX+jtPldnT06mhN6EfRVk2k4Z3dy/rs+SD8peUxvcYGyZhixaBvGrHL9N+Iy7bGoWlSUyAPaNdDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:40:40.047710Z","bundle_sha256":"bd8111b7d9b4582ea75f94309743f095eea201313e94d86f2b46a969c587ab7b"}}