Pith Number

pith:A24YW2RY

pith:2010:A24YW2RY2IWCHTN2I2WFY7G7FG

not attested not anchored not stored refs pending

From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage

Johannes Zimmer, Mark Peletier, Nicolas Dirr, Stefan Adams

arxiv:1004.4076 v1 · 2010-04-23 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A24YW2RY2IWCHTN2I2WFY7G7FG}

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	2026-05-18T02:07:54.723567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b98b6a38d22c23cdba46ac5c7cdf29a9d6324b645115d7b6bf9312c955a25d

Aliases

arxiv: 1004.4076 · arxiv_version: 1004.4076v1 · doi: 10.48550/arxiv.1004.4076 · pith_short_12: A24YW2RY2IWC · pith_short_16: A24YW2RY2IWCHTN2 · pith_short_8: A24YW2RY

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/A24YW2RY2IWCHTN2I2WFY7G7FG \
  | 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: 06b98b6a38d22c23cdba46ac5c7cdf29a9d6324b645115d7b6bf9312c955a25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a881bb5d7461c2c263d24a933f0407babff7a361507c8cdbb5b1680bd2e4e5e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-23T09:01:56Z",
    "title_canon_sha256": "876557def6216ec4b7d562b8ca3806e7238ea640ffb78d4a77585e320a0483a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4076",
    "kind": "arxiv",
    "version": 1
  }
}