Pith Number

pith:Y23CWN6A

pith:2013:Y23CWN6AYVFN5VOEL5QTQIEAZY

not attested not anchored not stored refs pending

On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion

Alexander Mielke, D. R. Michiel Renger, Mark A. Peletier

arxiv:1312.7591 v1 · 2013-12-29 · math.FA · math-ph · math.AP · 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{Y23CWN6AYVFN5VOEL5QTQIEAZY}

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	2026-05-18T00:26:02.621384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b62b37c0c54aded5c45f61382080ce313897e3fc1e3785f89440f0ab5303a2

Aliases

arxiv: 1312.7591 · arxiv_version: 1312.7591v1 · doi: 10.48550/arxiv.1312.7591 · pith_short_12: Y23CWN6AYVFN · pith_short_16: Y23CWN6AYVFN5VOE · pith_short_8: Y23CWN6A

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/Y23CWN6AYVFN5VOEL5QTQIEAZY \
  | 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: c6b62b37c0c54aded5c45f61382080ce313897e3fc1e3785f89440f0ab5303a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e781a8f7fc3cd29f00c892e8d631f161cd50051e179bcdd8c19866ee2d0412a6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-29T21:12:40Z",
    "title_canon_sha256": "7fc84f6fdde501986c60b1444294703db0c96a1bfccaf9cf4b518c7c1a566f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7591",
    "kind": "arxiv",
    "version": 1
  }
}