{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TJ6QMYKLLKSVG5GYO5RYR7RP4S","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":"4eb93207c5387e962707eb59a84a2d7dd7c5151d3577916d2c713f8fa2137395","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-28T06:12:22Z","title_canon_sha256":"c5fe5c506c619b7cf53cd3209fbaa5fa5c755f48b6977800a97a9501fd40bcb5"},"schema_version":"1.0","source":{"id":"1402.7142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.7142","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1402.7142v1","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.7142","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"TJ6QMYKLLKSV","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TJ6QMYKLLKSVG5GY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TJ6QMYKL","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:99e2cf506e212aa45dcb51a8b18375fe7f90ebf84cc8cdf965257a06870bc116","target":"graph","created_at":"2026-05-18T02:45:22Z","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 present a new method to propagate $p$-adic precision in computations, which also applies to other ultrametric fields. We illustrate it with many examples and give a toy application to the stable computation of the SOMOS 4 sequence.","authors_text":"David Roe, Tristan Vaccon (IRMAR), Xavier Caruso (IRMAR)","cross_cats":["cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-28T06:12:22Z","title":"Tracking p-adic precision"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.7142","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:cb0d8a65895b1b3ae7c9e2472b7fb1020ff1c59534ec8e54c5e4e1af65a37d4a","target":"record","created_at":"2026-05-18T02:45:22Z","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":"4eb93207c5387e962707eb59a84a2d7dd7c5151d3577916d2c713f8fa2137395","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-28T06:12:22Z","title_canon_sha256":"c5fe5c506c619b7cf53cd3209fbaa5fa5c755f48b6977800a97a9501fd40bcb5"},"schema_version":"1.0","source":{"id":"1402.7142","kind":"arxiv","version":1}},"canonical_sha256":"9a7d06614b5aa55374d8776388fe2fe48603057fbf2381b8d5c5f54afbfb006b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a7d06614b5aa55374d8776388fe2fe48603057fbf2381b8d5c5f54afbfb006b","first_computed_at":"2026-05-18T02:45:22.244428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:22.244428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9d20VoPzgTOyJBiBlTMWZpgM92CeTGxRkOV2r0KUAps2xRmmGqjv5TNIW8WzNOChWvBauOb1DEpUL5ugLzqsBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:22.244840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.7142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb0d8a65895b1b3ae7c9e2472b7fb1020ff1c59534ec8e54c5e4e1af65a37d4a","sha256:99e2cf506e212aa45dcb51a8b18375fe7f90ebf84cc8cdf965257a06870bc116"],"state_sha256":"ccd9855249312316a41dfd4ee976624d1384a821997f23464b4d0b1af1ba9adb"}