Pith Number

pith:NS5X3V7C

pith:2019:NS5X3V7CLSWZTQ5J6R5VDFF26V

not attested not anchored not stored refs pending

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces

Andr\'e Schlichting, Matthias Erbar, Max Fathi

arxiv:1908.03397 v1 · 2019-08-09 · math.PR · math-ph · 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{NS5X3V7CLSWZTQ5J6R5VDFF26V}

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	2026-07-05T01:07:37.437114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cbb7dd7e25cad99c3a9f47b5194baf55c1fc8020f1fba48febd4f56276a2e25

Aliases

arxiv: 1908.03397 · arxiv_version: 1908.03397v1 · doi: 10.48550/arxiv.1908.03397 · pith_short_12: NS5X3V7CLSWZ · pith_short_16: NS5X3V7CLSWZTQ5J · pith_short_8: NS5X3V7C

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/NS5X3V7CLSWZTQ5J6R5VDFF26V \
  | 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: 6cbb7dd7e25cad99c3a9f47b5194baf55c1fc8020f1fba48febd4f56276a2e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5c274ea1aed12ddbc1e6336c6cd38891cb0d8d915c4248207906ec91c9e5e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-09T10:14:39Z",
    "title_canon_sha256": "0f83e75ee46dfc6fbe629c0434ab510688390e4db14bce370c90112b2dd7dab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03397",
    "kind": "arxiv",
    "version": 1
  }
}