Pith Number

pith:R23O2JKG

pith:2017:R23O2JKGTW6IOWDCXVML4VBGZR

not attested not anchored not stored refs pending

Explicit Structure of the Fokker-Planck Equation with potential

Haitao Wang, Kung-Chien Wu, Yu-Chu Lin

arxiv:1706.07557 v3 · 2017-06-23 · 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{R23O2JKGTW6IOWDCXVML4VBGZR}

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	2026-05-18T00:01:53.637397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb6ed25469dbc875862bd58be5426cc7025e42d92a3427d29471267ecbb27e4

Aliases

arxiv: 1706.07557 · arxiv_version: 1706.07557v3 · doi: 10.48550/arxiv.1706.07557 · pith_short_12: R23O2JKGTW6I · pith_short_16: R23O2JKGTW6IOWDC · pith_short_8: R23O2JKG

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/R23O2JKGTW6IOWDCXVML4VBGZR \
  | 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: 8eb6ed25469dbc875862bd58be5426cc7025e42d92a3427d29471267ecbb27e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490adfa9144e5a4d6baacc8b8289e526344a11dafea35cff55b8452b6cb23379",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-23T03:43:12Z",
    "title_canon_sha256": "70389d6f6f70d006fdf3e652c44db0cf2687f06af6732e2de3561aa788dc9127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07557",
    "kind": "arxiv",
    "version": 3
  }
}