Pith Number

pith:7QRXYKHG

pith:2017:7QRXYKHGSAO6R5CDCTE7XN4B2X

not attested not anchored not stored refs pending

Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms

Bo Wu, Michael R\"ockner, Rongchan Zhu, Xiangchan Zhu

arxiv:1711.09570 v3 · 2017-11-27 · math.PR · math.AP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QRXYKHGSAO6R5CDCTE7XN4B2X}

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	2026-05-18T00:06:16.297014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc237c28e6901de8f44314c9fbb781d5cc6c2e1435f2b38e10cb958ac824833b

Aliases

arxiv: 1711.09570 · arxiv_version: 1711.09570v3 · doi: 10.48550/arxiv.1711.09570 · pith_short_12: 7QRXYKHGSAO6 · pith_short_16: 7QRXYKHGSAO6R5CD · pith_short_8: 7QRXYKHG

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/7QRXYKHGSAO6R5CDCTE7XN4B2X \
  | 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: fc237c28e6901de8f44314c9fbb781d5cc6c2e1435f2b38e10cb958ac824833b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19df98a311aa75a5f905c577dab99061cb5b340cf79d86f4de72237482c87f42",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-27T08:00:00Z",
    "title_canon_sha256": "67afe2624e888eefdb7fa2385aba532fa46039ed12452400663513aa4d4b67e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09570",
    "kind": "arxiv",
    "version": 3
  }
}