Pith Number

pith:4WWYZOJS

pith:2026:4WWYZOJST4CZ77YATGVT6HN52V

not attested not anchored not stored refs pending

Decoupling Runge-Kutta schemes for elliptic-parabolic problems

Abdullah Mujahid, Benjamin Unger, Robert Altmann

arxiv:2605.22485 v1 · 2026-05-21 · 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{4WWYZOJST4CZ77YATGVT6HN52V}

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	2026-05-22T01:04:47.087101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ad8cb9329f059fff0099ab3f1dbdd54f771231f69f29e056425604b40a2a67

Aliases

arxiv: 2605.22485 · arxiv_version: 2605.22485v1 · doi: 10.48550/arxiv.2605.22485 · pith_short_12: 4WWYZOJST4CZ · pith_short_16: 4WWYZOJST4CZ77YA · pith_short_8: 4WWYZOJS

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/4WWYZOJST4CZ77YATGVT6HN52V \
  | 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: e5ad8cb9329f059fff0099ab3f1dbdd54f771231f69f29e056425604b40a2a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e793c9a2bdf05b864e3c88868d77b2d83fead8db745e804588eb8a33448026c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-21T13:41:46Z",
    "title_canon_sha256": "494d1f5dbf61feb15ce055fd7c3aaa2a1cfb36ca35149cd80e282225a9c25d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22485",
    "kind": "arxiv",
    "version": 1
  }
}