Pith Number

pith:XBQBW2B7

pith:2018:XBQBW2B7G2IIFXF3DNOVQBGXYG

not attested not anchored not stored refs pending

On Fokker-Planck Equations with In- and Outflow of Mass

Ina Humpert, Jan-Frederik Pietschmann, Martin Burger

arxiv:1812.07064 v1 · 2018-12-17 · 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{XBQBW2B7G2IIFXF3DNOVQBGXYG}

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	2026-05-17T23:58:08.116743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8601b683f369082dcbb1b5d5804d7c1ad36c7ae004af17bd08d9b773670538f

Aliases

arxiv: 1812.07064 · arxiv_version: 1812.07064v1 · doi: 10.48550/arxiv.1812.07064 · pith_short_12: XBQBW2B7G2II · pith_short_16: XBQBW2B7G2IIFXF3 · pith_short_8: XBQBW2B7

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/XBQBW2B7G2IIFXF3DNOVQBGXYG \
  | 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: b8601b683f369082dcbb1b5d5804d7c1ad36c7ae004af17bd08d9b773670538f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27d0c96caa0aa2d6be39ed0cd10b205a663eb4a88ee787763704b6fe92bf2a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-17T21:37:09Z",
    "title_canon_sha256": "6ad443cb982ffd324c7a98fcd9e7aa08a93a5c678bfaf526c871d45fb3ec1c48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07064",
    "kind": "arxiv",
    "version": 1
  }
}