Pith Number

pith:5RELF5UR

pith:2017:5RELF5UR4D26E7FNDZBQ3TJ75P

not attested not anchored not stored refs pending

Entropy dissipation of Fokker-Planck equations on graphs

Haomin Zhou, Shui-Nee Chow, Wuchen Li

arxiv:1701.04841 v3 · 2017-01-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RELF5UR4D26E7FNDZBQ3TJ75P}

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.

Cited by

1 paper in Pith

Discrete Mean Field Games on Finite Graphs as Initial Value Optimization

Receipt and verification

First computed	2026-05-18T00:34:31.248103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec48b2f691e0f5e27cad1e430dcd3febc4ddb376296dcde4df2e6a54938dd99a

Aliases

arxiv: 1701.04841 · arxiv_version: 1701.04841v3 · doi: 10.48550/arxiv.1701.04841 · pith_short_12: 5RELF5UR4D26 · pith_short_16: 5RELF5UR4D26E7FN · pith_short_8: 5RELF5UR

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/5RELF5UR4D26E7FNDZBQ3TJ75P \
  | 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: ec48b2f691e0f5e27cad1e430dcd3febc4ddb376296dcde4df2e6a54938dd99a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0a956f32bc82bf21e13a4ccb6d29f069898ca3519723d86a5363244a5a5add",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-17T19:14:40Z",
    "title_canon_sha256": "cdc8d0b65e0f323bfbb77a12c26e128f516818c18688aa431e72a53e5f56d6b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04841",
    "kind": "arxiv",
    "version": 3
  }
}