Pith Number

pith:QFOALDFC

pith:2005:QFOALDFCI5IWZJA3OHEPV6TPKZ

not attested not anchored not stored refs pending

Short and long time behavior of the Fokker-Planck equation in a confining potential and applications

Frederic Herau (LM-Reims)

arxiv:math/0501363 v3 · 2005-01-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFOALDFCI5IWZJA3OHEPV6TPKZ}

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	2026-07-04T15:07:00.108817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815c058ca247516ca41b71c8fafa6f5644ae0b98ae5c94c22b2437ab9318ade8

Aliases

arxiv: math/0501363 · arxiv_version: math/0501363v3 · doi: 10.48550/arxiv.math/0501363 · pith_short_12: QFOALDFCI5IW · pith_short_16: QFOALDFCI5IWZJA3 · pith_short_8: QFOALDFC

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/QFOALDFCI5IWZJA3OHEPV6TPKZ \
  | 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: 815c058ca247516ca41b71c8fafa6f5644ae0b98ae5c94c22b2437ab9318ade8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba3c86858eb172c46042335735c16a5bdf14b4945110949be96b2d6afb06da9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-01-22T07:32:26Z",
    "title_canon_sha256": "e3dd0f7a5c0521e3ab7e0139a674ec50acf72e0d65b61af14e7f37bf2a6ca7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501363",
    "kind": "arxiv",
    "version": 3
  }
}