{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:EWB3CDHZEO3XIX3ONVL6AH4SRR","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":"5fb6fe0ea6e670ea6480772c274e666fdd76048c916e76d5de4b24d38f4ce2f5","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2005-06-22T09:31:19Z","title_canon_sha256":"8d9a2777058dc7938333896be46aa8c3cfd2030a51db75f8c3d3b82f79605cca"},"schema_version":"1.0","source":{"id":"math/0506441","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0506441","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0506441v1","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0506441","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"pith_short_12","alias_value":"EWB3CDHZEO3X","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EWB3CDHZEO3XIX3O","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EWB3CDHZ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:f4e9c1a426794f1d2a24c41730588b4ca73d8e4fa7bffc6f500e6e23e237ce19","target":"graph","created_at":"2026-05-18T01:11:27Z","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":"Let f be a function transcendental and meromorphic in the plane, and define g(z) by g(z) = f(z+1) - f(z). A number of results are proved concerning the existence of zeros of g(z) or g(z)/f(z), in terms of the growth and the poles of f.","authors_text":"J.K. Langley, Walter Bergweiler","cross_cats":[],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2005-06-22T09:31:19Z","title":"Zeros of differences of meromorphic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0506441","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:aeee27ab1e1b552d960bbdcd5936e24a5d64b5cb060558c732b84ec11db48222","target":"record","created_at":"2026-05-18T01:11:27Z","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":"5fb6fe0ea6e670ea6480772c274e666fdd76048c916e76d5de4b24d38f4ce2f5","cross_cats_sorted":[],"license":"","primary_cat":"math.CV","submitted_at":"2005-06-22T09:31:19Z","title_canon_sha256":"8d9a2777058dc7938333896be46aa8c3cfd2030a51db75f8c3d3b82f79605cca"},"schema_version":"1.0","source":{"id":"math/0506441","kind":"arxiv","version":1}},"canonical_sha256":"2583b10cf923b7745f6e6d57e01f928c734647f68405f317b268c14739dd23d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2583b10cf923b7745f6e6d57e01f928c734647f68405f317b268c14739dd23d0","first_computed_at":"2026-05-18T01:11:27.879704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:27.879704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NcoEQtitFeQArsDalqXLSaCZg+XGPR0kwo/vh1wToYD4wF2PeDlBfZzke/PbxgB5/lL55EyNd9NOTRZFMcQLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:27.880291Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0506441","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aeee27ab1e1b552d960bbdcd5936e24a5d64b5cb060558c732b84ec11db48222","sha256:f4e9c1a426794f1d2a24c41730588b4ca73d8e4fa7bffc6f500e6e23e237ce19"],"state_sha256":"19f223169ecffe55d415b12dfdc645b0f6fb781e988b52be366fb70e995d35c7"}