{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LN26NQO5LN42QKMS2RUGMEQUFS","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":"055966e203148c643d90c7c32cd367932a3d2f453abb271c67a5684a269e64f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-02-21T14:30:44Z","title_canon_sha256":"00be89950cb5206b307c672088ae7def6a903aec0b654707e94353c6ce31b128"},"schema_version":"1.0","source":{"id":"2502.15489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.15489","created_at":"2026-07-05T10:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"2502.15489v1","created_at":"2026-07-05T10:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.15489","created_at":"2026-07-05T10:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"LN26NQO5LN42","created_at":"2026-07-05T10:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"LN26NQO5LN42QKMS","created_at":"2026-07-05T10:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"LN26NQO5","created_at":"2026-07-05T10:18:02Z"}],"graph_snapshots":[{"event_id":"sha256:4590caf9aaabac419b8506edda060d615ae9ab2e6dea062355bb35f5071b2196","target":"graph","created_at":"2026-07-05T10:18:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.15489/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we establish some inequalities for rational functions\n  with prescribed poles having s-fold zeros at origin and also show that\n  it implies some inequalities for polynomials and their polar derivatives.","authors_text":"Preeti Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-02-21T14:30:44Z","title":"Turan type inequalities for rational functions with pescribed poles and restricted zeros"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.15489","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:a18dbb0920c0d7b12c0a9f6d600a8f23bdb7a7f85fa7227c5d48c87a550d9e84","target":"record","created_at":"2026-07-05T10:18:02Z","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":"055966e203148c643d90c7c32cd367932a3d2f453abb271c67a5684a269e64f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-02-21T14:30:44Z","title_canon_sha256":"00be89950cb5206b307c672088ae7def6a903aec0b654707e94353c6ce31b128"},"schema_version":"1.0","source":{"id":"2502.15489","kind":"arxiv","version":1}},"canonical_sha256":"5b75e6c1dd5b79a82992d4686612142cbe0027ce55fe43968353e698e3d95803","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b75e6c1dd5b79a82992d4686612142cbe0027ce55fe43968353e698e3d95803","first_computed_at":"2026-07-05T10:18:02.564227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:18:02.564227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RcVk8Ig24EDdOZu0FWX7lVNgCDtOcXANJlU0+R9VGaDaqdtJwe3wWozvOeiVabmnsTAyjxcq2j4bpqpSI6OxDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:18:02.564803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.15489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a18dbb0920c0d7b12c0a9f6d600a8f23bdb7a7f85fa7227c5d48c87a550d9e84","sha256:4590caf9aaabac419b8506edda060d615ae9ab2e6dea062355bb35f5071b2196"],"state_sha256":"3e9f3a4c9d6156392618b9a21b01fc76315b9978ae367b7f2fa5c0cc48336dbf"}