{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BQ6CVVDSX65ETNWTORZYSNDDPZ","short_pith_number":"pith:BQ6CVVDS","canonical_record":{"source":{"id":"1705.05048","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T01:54:28Z","cross_cats_sorted":[],"title_canon_sha256":"05728e463a35c22eecd27f13dcd91a861b6e200a309b081150af76d7fdbfe800","abstract_canon_sha256":"f9ad2bbb2b1397e747cd06abea134879181ddc07b8ee9b4617827c874f69282d"},"schema_version":"1.0"},"canonical_sha256":"0c3c2ad472bfba49b6d374738934637e79aabbeee839abbebadc641e86f05aa4","source":{"kind":"arxiv","id":"1705.05048","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05048","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05048v2","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05048","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"BQ6CVVDSX65E","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BQ6CVVDSX65ETNWT","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BQ6CVVDS","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BQ6CVVDSX65ETNWTORZYSNDDPZ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.05048","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T01:54:28Z","cross_cats_sorted":[],"title_canon_sha256":"05728e463a35c22eecd27f13dcd91a861b6e200a309b081150af76d7fdbfe800","abstract_canon_sha256":"f9ad2bbb2b1397e747cd06abea134879181ddc07b8ee9b4617827c874f69282d"},"schema_version":"1.0"},"canonical_sha256":"0c3c2ad472bfba49b6d374738934637e79aabbeee839abbebadc641e86f05aa4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:06.606822Z","signature_b64":"rjzap32LceGBHdgzkXMbdequaiRIyK6wCGW9WoHmXSi5Voxt8ModQTYP76en3HUo37nAbek0VJD7zQgM7LBaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c3c2ad472bfba49b6d374738934637e79aabbeee839abbebadc641e86f05aa4","last_reissued_at":"2026-05-18T00:44:06.606146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:06.606146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.05048","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":"2026-05-18T00:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EI+8ZDDSuQz3A59FIm3+kVfrZxip9Hun5XqsLvBjK+WEnyiutzOS+3NPcdhhdjND3py9Td0R08CJrPbx3xY5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:41:01.653496Z"},"content_sha256":"56302f13eaa3dceabcf41eb73c60db68ec91101e06a068103b260855eb8e0c9f","schema_version":"1.0","event_id":"sha256:56302f13eaa3dceabcf41eb73c60db68ec91101e06a068103b260855eb8e0c9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BQ6CVVDSX65ETNWTORZYSNDDPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"What is the definition of two meromorphic functions sharing a small function?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Andreas Schweizer","submitted_at":"2017-05-15T01:54:28Z","abstract_excerpt":"Two meromorphic functions $f(z)$ and $g(z)$ sharing a small function $\\alpha(z)$ usually is defined in terms of vanishing of the functions $f-\\alpha$ and $g-\\alpha$. We argue that it would be better to modify this definition at the points where $\\alpha$ has poles. Related to this issue we also point out some possible gaps in proofs in the published literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05048","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":"2026-05-18T00:44:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZYVi20LkzJHuzSqgfNbMZaIZdECv7WAT/LOulmnKJbKP7Ncf1+YqEj7tgvhlU3Yj+upDikCKb64eZP10Kw76AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:41:01.654257Z"},"content_sha256":"02900e7a1da491e5f4d81ad2236e1d799a7a2884ae5363b7f5fd660e2a35b700","schema_version":"1.0","event_id":"sha256:02900e7a1da491e5f4d81ad2236e1d799a7a2884ae5363b7f5fd660e2a35b700"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ/bundle.json","state_url":"https://pith.science/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ/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":"2026-05-30T17:41:01Z","links":{"resolver":"https://pith.science/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ","bundle":"https://pith.science/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ/bundle.json","state":"https://pith.science/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQ6CVVDSX65ETNWTORZYSNDDPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BQ6CVVDSX65ETNWTORZYSNDDPZ","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":"f9ad2bbb2b1397e747cd06abea134879181ddc07b8ee9b4617827c874f69282d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T01:54:28Z","title_canon_sha256":"05728e463a35c22eecd27f13dcd91a861b6e200a309b081150af76d7fdbfe800"},"schema_version":"1.0","source":{"id":"1705.05048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05048","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05048v2","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05048","created_at":"2026-05-18T00:44:06Z"},{"alias_kind":"pith_short_12","alias_value":"BQ6CVVDSX65E","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BQ6CVVDSX65ETNWT","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BQ6CVVDS","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:02900e7a1da491e5f4d81ad2236e1d799a7a2884ae5363b7f5fd660e2a35b700","target":"graph","created_at":"2026-05-18T00:44:06Z","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":"Two meromorphic functions $f(z)$ and $g(z)$ sharing a small function $\\alpha(z)$ usually is defined in terms of vanishing of the functions $f-\\alpha$ and $g-\\alpha$. We argue that it would be better to modify this definition at the points where $\\alpha$ has poles. Related to this issue we also point out some possible gaps in proofs in the published literature.","authors_text":"Andreas Schweizer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T01:54:28Z","title":"What is the definition of two meromorphic functions sharing a small function?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05048","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":"sha256:56302f13eaa3dceabcf41eb73c60db68ec91101e06a068103b260855eb8e0c9f","target":"record","created_at":"2026-05-18T00:44:06Z","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":"f9ad2bbb2b1397e747cd06abea134879181ddc07b8ee9b4617827c874f69282d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T01:54:28Z","title_canon_sha256":"05728e463a35c22eecd27f13dcd91a861b6e200a309b081150af76d7fdbfe800"},"schema_version":"1.0","source":{"id":"1705.05048","kind":"arxiv","version":2}},"canonical_sha256":"0c3c2ad472bfba49b6d374738934637e79aabbeee839abbebadc641e86f05aa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c3c2ad472bfba49b6d374738934637e79aabbeee839abbebadc641e86f05aa4","first_computed_at":"2026-05-18T00:44:06.606146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:06.606146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rjzap32LceGBHdgzkXMbdequaiRIyK6wCGW9WoHmXSi5Voxt8ModQTYP76en3HUo37nAbek0VJD7zQgM7LBaCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:06.606822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56302f13eaa3dceabcf41eb73c60db68ec91101e06a068103b260855eb8e0c9f","sha256:02900e7a1da491e5f4d81ad2236e1d799a7a2884ae5363b7f5fd660e2a35b700"],"state_sha256":"2b03528194ed41028d4033eceff847d51952d09082a0fc05afd7fc4ab5cac5be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkIDqPZgV5s2k1wSk5XD8PQy3MgOlj8rCEoXEhwW1Kh8Bfo+xiQm6ExAtoojYFE8KDJESrfHDNjIDsHpkhbiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:41:01.658133Z","bundle_sha256":"9efbaa7f38d7695b16b3901584eee2a05a1542a330a8004ed9dc7fc461d480d9"}}