Pith Number

pith:ZKQSFNTW

pith:2026:ZKQSFNTWV5ITMKWD7XCNNLPFJZ

not attested not anchored not stored refs pending

Well-balanced second-order approximation of the compressible atmospheric Euler equations

Crystal Farris, Eric J. Tovar, Matthias Maier

arxiv:2606.19764 v1 · 2026-06-18 · 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{ZKQSFNTWV5ITMKWD7XCNNLPFJZ}

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	2026-06-19T16:12:34.508196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa122b676af51362ac3fdc4d6ade54e7e52130016ca5432a4906ac87677f03c

Aliases

arxiv: 2606.19764 · arxiv_version: 2606.19764v1 · doi: 10.48550/arxiv.2606.19764 · pith_short_12: ZKQSFNTWV5IT · pith_short_16: ZKQSFNTWV5ITMKWD · pith_short_8: ZKQSFNTW

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/ZKQSFNTWV5ITMKWD7XCNNLPFJZ \
  | 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: caa122b676af51362ac3fdc4d6ade54e7e52130016ca5432a4906ac87677f03c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0593d64f670be64924f1b591e79dcaf516818f1ee39430375eacb12428b3781",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-18T03:53:13Z",
    "title_canon_sha256": "ffece36ad343fe27953186b77513692a48ff2cf9a31ae14699e8e32c9537186c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19764",
    "kind": "arxiv",
    "version": 1
  }
}