Pith Number

pith:XNK4BCHO

pith:2012:XNK4BCHOGSRD5FGLQCQAPUPSRO

not attested not anchored not stored refs pending

Stochastic Stefan Problems Driven By Standard Brownian Sheets

Richard B. Sowers, Zhi Zheng

arxiv:1210.7208 v1 · 2012-10-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNK4BCHOGSRD5FGLQCQAPUPSRO}

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	2026-05-18T03:42:12.448857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb55c088ee34a23e94cb80a007d1f28b8f68305314677b91a8fa3112bca57550

Aliases

arxiv: 1210.7208 · arxiv_version: 1210.7208v1 · doi: 10.48550/arxiv.1210.7208 · pith_short_12: XNK4BCHOGSRD · pith_short_16: XNK4BCHOGSRD5FGL · pith_short_8: XNK4BCHO

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/XNK4BCHOGSRD5FGLQCQAPUPSRO \
  | 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: bb55c088ee34a23e94cb80a007d1f28b8f68305314677b91a8fa3112bca57550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520cbee2ddb2aeec8fde80ae784113fc9557d0599747f3266e44dc1cee3387c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-26T18:27:51Z",
    "title_canon_sha256": "d903ec0cac148eaec919f13d65ea5664a2d9e56797e0604fae2c41b06c62dd3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7208",
    "kind": "arxiv",
    "version": 1
  }
}