Pith Number

pith:D75J6ADZ

pith:2025:D75J6ADZSV7OJUEYZKWNZZTEOT

not attested not anchored not stored refs pending

A high-order Newton multigrid method with a simplified Jacobian for steady-state shallow water equations

Chunwu Wang, Guanghan Li, Xiaowen Wang, Zhicheng Hu

arxiv:2505.10857 v2 · 2025-05-16 · 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{D75J6ADZSV7OJUEYZKWNZZTEOT}

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	2026-05-29T00:04:12.396094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffa9f0079957ee4d098caacdce66474fa03e7e3ad1e2b998e243e0a3104e6e0

Aliases

arxiv: 2505.10857 · arxiv_version: 2505.10857v2 · doi: 10.48550/arxiv.2505.10857 · pith_short_12: D75J6ADZSV7O · pith_short_16: D75J6ADZSV7OJUEY · pith_short_8: D75J6ADZ

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/D75J6ADZSV7OJUEYZKWNZZTEOT \
  | 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: 1ffa9f0079957ee4d098caacdce66474fa03e7e3ad1e2b998e243e0a3104e6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a5a6b8ca9644143c9b3dbe4230c3044634db949c4c211cfc09410dcc3e3d06",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-16T04:53:18Z",
    "title_canon_sha256": "0192aaf5d21fb341ea086d89aa3155375d9fda8c8fc7cfc8f7ee87930d7abb81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10857",
    "kind": "arxiv",
    "version": 2
  }
}