{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TXTYHJEWHBPGC34U22MHTQYCGK","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":"36e0c46b4953020786f6fa0dd8c012b2f69f9746f498f0c89856a9f16213a3ee","cross_cats_sorted":["math.MP","physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-10T10:34:40Z","title_canon_sha256":"fd194fc035d4622dca4d5c83b876b018c76b2423c57666cd301ef93cf2e9a5aa"},"schema_version":"1.0","source":{"id":"1205.2226","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2226","created_at":"2026-05-18T01:57:33Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2226v1","created_at":"2026-05-18T01:57:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2226","created_at":"2026-05-18T01:57:33Z"},{"alias_kind":"pith_short_12","alias_value":"TXTYHJEWHBPG","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TXTYHJEWHBPGC34U","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TXTYHJEW","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:1634ae70a36e1706f1e417f1d0a97b81376562fd15fbf42bcba5ca26a3bc4850","target":"graph","created_at":"2026-05-18T01:57:33Z","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":"A subroutine for very-high-precision numerical solution of a class of ordinary differential equations is provided. For given evaluation point and equation parameters the memory requirement scales linearly with precision $P$, and the number of algebraic operations scales roughly linearly with $P$ when $P$ becomes sufficiently large. We discuss results from extensive tests of the code, and how one for a given evaluation point and equation parameters may estimate precision loss and computing time in advance.","authors_text":"Amna Noreen, K{\\aa}re Olaussen","cross_cats":["math.MP","physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-10T10:34:40Z","title":"High precision series solution of differential equations: Ordinary and regular singular point of second order ODEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2226","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:e3bc045cfd3f1a53b49b4606504665962f7cd15d93acb04542897c49cb24971b","target":"record","created_at":"2026-05-18T01:57:33Z","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":"36e0c46b4953020786f6fa0dd8c012b2f69f9746f498f0c89856a9f16213a3ee","cross_cats_sorted":["math.MP","physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-10T10:34:40Z","title_canon_sha256":"fd194fc035d4622dca4d5c83b876b018c76b2423c57666cd301ef93cf2e9a5aa"},"schema_version":"1.0","source":{"id":"1205.2226","kind":"arxiv","version":1}},"canonical_sha256":"9de783a496385e616f94d69879c30232bb9a7725481a66df9de5477cdaf0606c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9de783a496385e616f94d69879c30232bb9a7725481a66df9de5477cdaf0606c","first_computed_at":"2026-05-18T01:57:33.973712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:33.973712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q7uqhDTORoLrwxO2lT6pljM4jybl+L9AO3rGatalaA5kt+/Nzu441zani1bdQDuKOvurbRtg75gnR1qOGGSbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:33.974115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2226","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3bc045cfd3f1a53b49b4606504665962f7cd15d93acb04542897c49cb24971b","sha256:1634ae70a36e1706f1e417f1d0a97b81376562fd15fbf42bcba5ca26a3bc4850"],"state_sha256":"1ea4f39a543b8493db58d434cc7f6253751127b972a00d38ed03406849a8913c"}