{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:L3XGV6AP2QNRKV65XBBAN5GFTH","short_pith_number":"pith:L3XGV6AP","canonical_record":{"source":{"id":"1801.05357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-16T16:55:40Z","cross_cats_sorted":[],"title_canon_sha256":"65041c9dd617df4e1f6f2225252e19159446413204206d372547fa8733799a17","abstract_canon_sha256":"4e84587ca9b000bd35045b1c25ad2cbac2527d51f102a6d41acb048b7c73def6"},"schema_version":"1.0"},"canonical_sha256":"5eee6af80fd41b1557ddb84206f4c599e6981b2dd3775938955fbf79aeee0465","source":{"kind":"arxiv","id":"1801.05357","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05357","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05357v1","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05357","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"L3XGV6AP2QNR","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L3XGV6AP2QNRKV65","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L3XGV6AP","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:L3XGV6AP2QNRKV65XBBAN5GFTH","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-16T16:55:40Z","cross_cats_sorted":[],"title_canon_sha256":"65041c9dd617df4e1f6f2225252e19159446413204206d372547fa8733799a17","abstract_canon_sha256":"4e84587ca9b000bd35045b1c25ad2cbac2527d51f102a6d41acb048b7c73def6"},"schema_version":"1.0"},"canonical_sha256":"5eee6af80fd41b1557ddb84206f4c599e6981b2dd3775938955fbf79aeee0465","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:47.036133Z","signature_b64":"Nktj1dy1cpnyU5/QHB8gI4agYBW1jjcfc7LtA7zx1pQC/4MYRxITa+K0DFeaMxzc5JQEIU+gaGMn+LSiMP8FAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5eee6af80fd41b1557ddb84206f4c599e6981b2dd3775938955fbf79aeee0465","last_reissued_at":"2026-05-18T00:25:47.035419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:47.035419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05357","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":"2026-05-18T00:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avLLe7czaeHw3NZdgFvy/+aYJMBnZmtP1fNEHmiHGfNygs4gBu1tzq3GXL+D/y59svJ4At1LEQ/wXUH0Xu30DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T12:38:51.999396Z"},"content_sha256":"05c3f238d578a236a62c55bcd0d3d52c43c440b8f7e293800fe427bf3a0945f4","schema_version":"1.0","event_id":"sha256:05c3f238d578a236a62c55bcd0d3d52c43c440b8f7e293800fe427bf3a0945f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:L3XGV6AP2QNRKV65XBBAN5GFTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the uniqueness of power of a meromorphic function sharing a set with its k-th derivative","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Abhijit Banerjee, Bikash Chakraborty","submitted_at":"2018-01-16T16:55:40Z","abstract_excerpt":"In the existing literature, many researchers consider the uniqueness of the power of a meromorphic function with its derivative counterpart share certain values or small functions. Here we consider the same problem under the aegis of a more general settings namely set sharing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05357","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":"2026-05-18T00:25:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qewsnK7UaJIBkbaCJajmlxJcCr6zwz4sHBwwGghSbOxYLP+pwYFSgSqxhYV/zPn2aFygw8dbR+UcZ6bCdKIeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T12:38:51.999736Z"},"content_sha256":"14caaf099e711de0606b64c622cc88fa40e7062c47b6d1d58b87fb3e19689c74","schema_version":"1.0","event_id":"sha256:14caaf099e711de0606b64c622cc88fa40e7062c47b6d1d58b87fb3e19689c74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3XGV6AP2QNRKV65XBBAN5GFTH/bundle.json","state_url":"https://pith.science/pith/L3XGV6AP2QNRKV65XBBAN5GFTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3XGV6AP2QNRKV65XBBAN5GFTH/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":"2026-06-21T12:38:52Z","links":{"resolver":"https://pith.science/pith/L3XGV6AP2QNRKV65XBBAN5GFTH","bundle":"https://pith.science/pith/L3XGV6AP2QNRKV65XBBAN5GFTH/bundle.json","state":"https://pith.science/pith/L3XGV6AP2QNRKV65XBBAN5GFTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3XGV6AP2QNRKV65XBBAN5GFTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:L3XGV6AP2QNRKV65XBBAN5GFTH","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":"4e84587ca9b000bd35045b1c25ad2cbac2527d51f102a6d41acb048b7c73def6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-16T16:55:40Z","title_canon_sha256":"65041c9dd617df4e1f6f2225252e19159446413204206d372547fa8733799a17"},"schema_version":"1.0","source":{"id":"1801.05357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05357","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05357v1","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05357","created_at":"2026-05-18T00:25:47Z"},{"alias_kind":"pith_short_12","alias_value":"L3XGV6AP2QNR","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L3XGV6AP2QNRKV65","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L3XGV6AP","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:14caaf099e711de0606b64c622cc88fa40e7062c47b6d1d58b87fb3e19689c74","target":"graph","created_at":"2026-05-18T00:25:47Z","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 the existing literature, many researchers consider the uniqueness of the power of a meromorphic function with its derivative counterpart share certain values or small functions. Here we consider the same problem under the aegis of a more general settings namely set sharing","authors_text":"Abhijit Banerjee, Bikash Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-16T16:55:40Z","title":"On the uniqueness of power of a meromorphic function sharing a set with its k-th derivative"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05357","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":"sha256:05c3f238d578a236a62c55bcd0d3d52c43c440b8f7e293800fe427bf3a0945f4","target":"record","created_at":"2026-05-18T00:25:47Z","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":"4e84587ca9b000bd35045b1c25ad2cbac2527d51f102a6d41acb048b7c73def6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-16T16:55:40Z","title_canon_sha256":"65041c9dd617df4e1f6f2225252e19159446413204206d372547fa8733799a17"},"schema_version":"1.0","source":{"id":"1801.05357","kind":"arxiv","version":1}},"canonical_sha256":"5eee6af80fd41b1557ddb84206f4c599e6981b2dd3775938955fbf79aeee0465","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eee6af80fd41b1557ddb84206f4c599e6981b2dd3775938955fbf79aeee0465","first_computed_at":"2026-05-18T00:25:47.035419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:47.035419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nktj1dy1cpnyU5/QHB8gI4agYBW1jjcfc7LtA7zx1pQC/4MYRxITa+K0DFeaMxzc5JQEIU+gaGMn+LSiMP8FAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:47.036133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05c3f238d578a236a62c55bcd0d3d52c43c440b8f7e293800fe427bf3a0945f4","sha256:14caaf099e711de0606b64c622cc88fa40e7062c47b6d1d58b87fb3e19689c74"],"state_sha256":"e34cb9e811e18e155b311cde67a270d08d3bd8d9535d7e77098eaed1c4fa61a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lzjlS9jOpUglMCAthmKCn9g0xE4F2Bz/eISTne1REyoq1D669To8AcdHxIE/xaXfFn9Z3+Co5f/cZ+8QjFRbAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T12:38:52.001611Z","bundle_sha256":"ab75ffbd67ad94947d4e640e572d85deaefa5c382901a41bab16ae392bb64672"}}