Pith Number

pith:MIWOJYJB

pith:2015:MIWOJYJB53YUXTRV6YJGT5IW2I

not attested not anchored not stored refs pending

Point and Potential Symmetries of the Fokker-Planck Equation

Bakary Manga, Faya Doumbo Kamano, Jo\"el Tossa

arxiv:1503.02209 v3 · 2015-03-07 · math.DG · 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{MIWOJYJB53YUXTRV6YJGT5IW2I}

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	2026-05-18T01:36:51.314703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622ce4e121eef14bce35f61269f516d215ee96f6ab254c96d081691f3651f2a0

Aliases

arxiv: 1503.02209 · arxiv_version: 1503.02209v3 · doi: 10.48550/arxiv.1503.02209 · pith_short_12: MIWOJYJB53YU · pith_short_16: MIWOJYJB53YUXTRV · pith_short_8: MIWOJYJB

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/MIWOJYJB53YUXTRV6YJGT5IW2I \
  | 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: 622ce4e121eef14bce35f61269f516d215ee96f6ab254c96d081691f3651f2a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98574742db3ad29346cb122c90b91df69c8c428d4058e598af65a73af8e2845d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-07T20:12:12Z",
    "title_canon_sha256": "b4b3923916c716e64162ffb540364366b78b5486dcf613ad93263517a717b3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02209",
    "kind": "arxiv",
    "version": 3
  }
}