{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JLQSXMXISUEI5BDKTHGZ47R2GM","short_pith_number":"pith:JLQSXMXI","canonical_record":{"source":{"id":"1104.5073","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-27T04:27:49Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"7be5223586e39e78960ffb21cfbf3a178c2fe7f4793c9fa378b090d999467805","abstract_canon_sha256":"5610f4b25753f6f76c520c6f49092d8cf229ee383de530fcdebd42748a0bafb3"},"schema_version":"1.0"},"canonical_sha256":"4ae12bb2e895088e846a99cd9e7e3a3318b41ec57ba5054e6750685a63751346","source":{"kind":"arxiv","id":"1104.5073","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5073","created_at":"2026-05-18T04:13:55Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5073v2","created_at":"2026-05-18T04:13:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5073","created_at":"2026-05-18T04:13:55Z"},{"alias_kind":"pith_short_12","alias_value":"JLQSXMXISUEI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JLQSXMXISUEI5BDK","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JLQSXMXI","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JLQSXMXISUEI5BDKTHGZ47R2GM","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5073","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-27T04:27:49Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"7be5223586e39e78960ffb21cfbf3a178c2fe7f4793c9fa378b090d999467805","abstract_canon_sha256":"5610f4b25753f6f76c520c6f49092d8cf229ee383de530fcdebd42748a0bafb3"},"schema_version":"1.0"},"canonical_sha256":"4ae12bb2e895088e846a99cd9e7e3a3318b41ec57ba5054e6750685a63751346","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:55.099564Z","signature_b64":"Z+sCBVzS9Bld7xfu2FvdHhsLPvzKaxLkxt7QjLUYNZxRMxJy6Q6auo+PgM5v5yZBEapWKPM/QiKTZhInuzOGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ae12bb2e895088e846a99cd9e7e3a3318b41ec57ba5054e6750685a63751346","last_reissued_at":"2026-05-18T04:13:55.099131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:55.099131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5073","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":"2026-05-18T04:13:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dfN6b25jnCohQ9cZtKtK/5kWSE62YW6coeZB+ClWkVD43zih7T5fwd/8GVgkM2u2v8hSoOKIfRX43O1t9wWeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:32:50.764960Z"},"content_sha256":"f3fb2aef502c25d4a2e1da857d80445c33167d412e3305812b159e7713268312","schema_version":"1.0","event_id":"sha256:f3fb2aef502c25d4a2e1da857d80445c33167d412e3305812b159e7713268312"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JLQSXMXISUEI5BDKTHGZ47R2GM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic continuation of Taylor series and the two-point boundary value problems of some nonlinear ordinary differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"C. Bervillier, S. Abbasbandy","submitted_at":"2011-04-27T04:27:49Z","abstract_excerpt":"We compare and discuss the respective efficiency of three methods (with two variants for each of them), based respectively on Taylor (Maclaurin) series, Pad\\'{e} approximants and conformal mappings, for solving quasi-analytically a two-point boundary value problem of a nonlinear ordinary differential equation (ODE). Six configurations of ODE and boundary conditions are successively considered according to the increasing difficulties that they present. After having indicated that the Taylor series method almost always requires the recourse to analytical continuation procedures to be efficient, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5073","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":"2026-05-18T04:13:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWpAJ/HOdmgMna7RVC0jITQ+cz1TK8pSm0Sz7UnV19JJBuqZCynwyEMqBnCeWE6llt2klpua3Q+AYm4akp+dBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:32:50.765309Z"},"content_sha256":"97c0934fb957ade4ad86091ab2bf124beba053a25354669d2ff1e4a958a18ea6","schema_version":"1.0","event_id":"sha256:97c0934fb957ade4ad86091ab2bf124beba053a25354669d2ff1e4a958a18ea6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JLQSXMXISUEI5BDKTHGZ47R2GM/bundle.json","state_url":"https://pith.science/pith/JLQSXMXISUEI5BDKTHGZ47R2GM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JLQSXMXISUEI5BDKTHGZ47R2GM/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":"2026-06-02T19:32:50Z","links":{"resolver":"https://pith.science/pith/JLQSXMXISUEI5BDKTHGZ47R2GM","bundle":"https://pith.science/pith/JLQSXMXISUEI5BDKTHGZ47R2GM/bundle.json","state":"https://pith.science/pith/JLQSXMXISUEI5BDKTHGZ47R2GM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JLQSXMXISUEI5BDKTHGZ47R2GM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JLQSXMXISUEI5BDKTHGZ47R2GM","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":"5610f4b25753f6f76c520c6f49092d8cf229ee383de530fcdebd42748a0bafb3","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-27T04:27:49Z","title_canon_sha256":"7be5223586e39e78960ffb21cfbf3a178c2fe7f4793c9fa378b090d999467805"},"schema_version":"1.0","source":{"id":"1104.5073","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5073","created_at":"2026-05-18T04:13:55Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5073v2","created_at":"2026-05-18T04:13:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5073","created_at":"2026-05-18T04:13:55Z"},{"alias_kind":"pith_short_12","alias_value":"JLQSXMXISUEI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JLQSXMXISUEI5BDK","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JLQSXMXI","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:97c0934fb957ade4ad86091ab2bf124beba053a25354669d2ff1e4a958a18ea6","target":"graph","created_at":"2026-05-18T04:13:55Z","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":"We compare and discuss the respective efficiency of three methods (with two variants for each of them), based respectively on Taylor (Maclaurin) series, Pad\\'{e} approximants and conformal mappings, for solving quasi-analytically a two-point boundary value problem of a nonlinear ordinary differential equation (ODE). Six configurations of ODE and boundary conditions are successively considered according to the increasing difficulties that they present. After having indicated that the Taylor series method almost always requires the recourse to analytical continuation procedures to be efficient, ","authors_text":"C. Bervillier, S. Abbasbandy","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-27T04:27:49Z","title":"Analytic continuation of Taylor series and the two-point boundary value problems of some nonlinear ordinary differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5073","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:f3fb2aef502c25d4a2e1da857d80445c33167d412e3305812b159e7713268312","target":"record","created_at":"2026-05-18T04:13:55Z","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":"5610f4b25753f6f76c520c6f49092d8cf229ee383de530fcdebd42748a0bafb3","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-27T04:27:49Z","title_canon_sha256":"7be5223586e39e78960ffb21cfbf3a178c2fe7f4793c9fa378b090d999467805"},"schema_version":"1.0","source":{"id":"1104.5073","kind":"arxiv","version":2}},"canonical_sha256":"4ae12bb2e895088e846a99cd9e7e3a3318b41ec57ba5054e6750685a63751346","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ae12bb2e895088e846a99cd9e7e3a3318b41ec57ba5054e6750685a63751346","first_computed_at":"2026-05-18T04:13:55.099131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:55.099131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z+sCBVzS9Bld7xfu2FvdHhsLPvzKaxLkxt7QjLUYNZxRMxJy6Q6auo+PgM5v5yZBEapWKPM/QiKTZhInuzOGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:55.099564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5073","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3fb2aef502c25d4a2e1da857d80445c33167d412e3305812b159e7713268312","sha256:97c0934fb957ade4ad86091ab2bf124beba053a25354669d2ff1e4a958a18ea6"],"state_sha256":"c71efa9e4950b5dceb68d530a53d6a9de10f5015656d19bfbe44c5cfc9aadb3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OGKQr5W+mJZ/p9avzhwocHUs5fZi8565v4p/pH4tUuXmNEDzZ/eeu3mzwtkdT3z4v53hgao6j+weAMEvOqMzBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:32:50.767324Z","bundle_sha256":"d6d2ac612aaf01d2ad720284bf134ebc2e63dc8b68fac726beb199b2eb975685"}}