Pith Number

pith:CT7ISU3L

pith:2013:CT7ISU3LGSN22XHOGJRWVLZVQ4

not attested not anchored not stored refs pending

Linear PDEs and eigenvalue problems corresponding to ergodic stochastic optimization problems on compact manifolds

Hilbert J. Kappen, Joris Bierkens, Michael Chertkov, Vladimir Y. Chernyak

arxiv:1303.0126 v3 · 2013-03-01 · math.OC · math-ph · math.MP · 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{CT7ISU3LGSN22XHOGJRWVLZVQ4}

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	2026-05-18T01:21:40.886706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14fe89536b349bad5cee32636aaf358700dc377f86c194508c1dd99cef610e6c

Aliases

arxiv: 1303.0126 · arxiv_version: 1303.0126v3 · doi: 10.48550/arxiv.1303.0126 · pith_short_12: CT7ISU3LGSN2 · pith_short_16: CT7ISU3LGSN22XHO · pith_short_8: CT7ISU3L

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/CT7ISU3LGSN22XHOGJRWVLZVQ4 \
  | 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: 14fe89536b349bad5cee32636aaf358700dc377f86c194508c1dd99cef610e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01cde34e208373e53a0d499c5ebfa229bc7211375cb8c14023a9447f3d9d108c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-01T09:59:31Z",
    "title_canon_sha256": "03929d5f9b2fb73fd410a4dc8be2adebd6f0c432aca1a7cf1b3f1934478725ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0126",
    "kind": "arxiv",
    "version": 3
  }
}