Pith Number

pith:MPZ2ZMMY

pith:2026:MPZ2ZMMYP3SLQOHHAJ7WBGX5KF

not attested not anchored not stored refs pending

A Conjugate Gradient Formulation of the EnKF Algorithm

Jonathan Valyou, Ludmil Zikatanov, Sanghyun Lee, Zhengqi Liu

arxiv:2606.19224 v1 · 2026-06-17 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPZ2ZMMYP3SLQOHHAJ7WBGX5KF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-19T16:12:08.216894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f3acb1987ee4b838e7027f609afd51484e712c7b57618d3f1070a5caee7ec4

Aliases

arxiv: 2606.19224 · arxiv_version: 2606.19224v1 · doi: 10.48550/arxiv.2606.19224 · pith_short_12: MPZ2ZMMYP3SL · pith_short_16: MPZ2ZMMYP3SLQOHH · pith_short_8: MPZ2ZMMY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MPZ2ZMMYP3SLQOHHAJ7WBGX5KF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 63f3acb1987ee4b838e7027f609afd51484e712c7b57618d3f1070a5caee7ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e7cd36b23e2492c54f03aa0a14dedd7c82fa9f9c325023f725a584afbaa404",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-17T16:00:39Z",
    "title_canon_sha256": "1bffdb1dbc6b18a23d6543513151bfdc23c92c2885e7f0d0b74d6a0cc0c1a0e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19224",
    "kind": "arxiv",
    "version": 1
  }
}