{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TJKIEAFUTCHYA3FF2LHOUNCRQ6","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":"e244a79984eb24368389c81bc375f71584b3da5748dabb5b1de1be6221f4601d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-19T11:53:17Z","title_canon_sha256":"08bdbf34c2322d9695a4c21265540019f4ee517c47b851381db225def5b3120d"},"schema_version":"1.0","source":{"id":"1402.4629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4629","created_at":"2026-05-18T02:38:10Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4629v2","created_at":"2026-05-18T02:38:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4629","created_at":"2026-05-18T02:38:10Z"},{"alias_kind":"pith_short_12","alias_value":"TJKIEAFUTCHY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TJKIEAFUTCHYA3FF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TJKIEAFU","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:06ed2ff936548a9ade02718653cfbb85a7fe3d86139d5e9920759b3cf4b319b1","target":"graph","created_at":"2026-05-18T02:38:10Z","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":"The family of the Taylor series f_{\\epsilon}(z)= \\sum\\limits_{0\\leq{}n<\\infty}e^{-\\epsilon n^2}z^n is considered, where the parameter \\epsilon, which enumerates the family, runs over ]0,\\infty[. The limiting behavior of this family is studied as \\epsilon\\to+0.","authors_text":"V. Katsnelson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-19T11:53:17Z","title":"On summation of the Taylor series of the function 1/(1-z) by the theta summation method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4629","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":"sha256:89822be270e36dc29cb62fc93c7babe96f0e185efd8893ac4fe0b0156478e3a0","target":"record","created_at":"2026-05-18T02:38:10Z","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":"e244a79984eb24368389c81bc375f71584b3da5748dabb5b1de1be6221f4601d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-19T11:53:17Z","title_canon_sha256":"08bdbf34c2322d9695a4c21265540019f4ee517c47b851381db225def5b3120d"},"schema_version":"1.0","source":{"id":"1402.4629","kind":"arxiv","version":2}},"canonical_sha256":"9a548200b4988f806ca5d2ceea345187a098d4d38249fff3a316e741056e609b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a548200b4988f806ca5d2ceea345187a098d4d38249fff3a316e741056e609b","first_computed_at":"2026-05-18T02:38:10.231006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:10.231006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VuwCDfIOx3trTYI2yT15jPkmy4y+3vxEwCbXD6RFV/AYrrobPcTfG+CI8jeTcXtT4dn5pIw+OlwHWc3ktkX5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:10.231699Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89822be270e36dc29cb62fc93c7babe96f0e185efd8893ac4fe0b0156478e3a0","sha256:06ed2ff936548a9ade02718653cfbb85a7fe3d86139d5e9920759b3cf4b319b1"],"state_sha256":"acfa87fcb4b80a89bc5f6aee4a2e125343f35b9c540d7780d704a8519f42ecbe"}