Pith Number

pith:56ZER2QB

pith:2015:56ZER2QBZU26NS23WU4JI63BKH

not attested not anchored not stored refs pending

SPDEs with two reflecting walls and two singular drifts

Jianliang Zhai, Juan Yang

arxiv:1505.03938 v1 · 2015-05-15 · 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{56ZER2QBZU26NS23WU4JI63BKH}

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	2026-05-18T02:09:40.656644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb248ea01cd35e6cb5bb538947b6151fb6307da270440abd229b52861dd2bd9

Aliases

arxiv: 1505.03938 · arxiv_version: 1505.03938v1 · doi: 10.48550/arxiv.1505.03938 · pith_short_12: 56ZER2QBZU26 · pith_short_16: 56ZER2QBZU26NS23 · pith_short_8: 56ZER2QB

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/56ZER2QBZU26NS23WU4JI63BKH \
  | 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: efb248ea01cd35e6cb5bb538947b6151fb6307da270440abd229b52861dd2bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2464e3b4eeba6461e179b1ad617e180017f31cbd5081e234a452316c81cef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-15T01:50:22Z",
    "title_canon_sha256": "af7e3ab5e8654441b07531f62f5d2d0abeab519f136dcbf4ade1aab03b5a6e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03938",
    "kind": "arxiv",
    "version": 1
  }
}