Pith Number

pith:GLWKWZWS

pith:2006:GLWKWZWS6MUMOEE6ZOAA5SEYW3

not attested not anchored not stored refs pending

Resolve subgrid microscale interactions to discretise stochastic partial differential equations

A. J. Roberts

arxiv:math/0601702 v4 · 2006-01-29 · math.DS · cs.NA · math.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{GLWKWZWS6MUMOEE6ZOAA5SEYW3}

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	2026-06-03T22:06:18.871735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ecab66d2f328c7109ecb800ec898b6f9cdeb897b1f05857fa9e8e27342223f

Aliases

arxiv: math/0601702 · arxiv_version: math/0601702v4 · doi: 10.48550/arxiv.math/0601702 · pith_short_12: GLWKWZWS6MUM · pith_short_16: GLWKWZWS6MUMOEE6 · pith_short_8: GLWKWZWS

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/GLWKWZWS6MUMOEE6ZOAA5SEYW3 \
  | 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: 32ecab66d2f328c7109ecb800ec898b6f9cdeb897b1f05857fa9e8e27342223f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd3a6fd8e6b4bf79e7de297a5ed7be177c1f1cda9f5203ae3952bde85dccfca",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2006-01-29T00:59:20Z",
    "title_canon_sha256": "2b6afec48e91b0792456fb6c99a8a044571feb65cdfa2b38237940d64d07f3d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601702",
    "kind": "arxiv",
    "version": 4
  }
}