Pith Number

pith:4SLHB4FD

pith:2015:4SLHB4FDALV2MVA2WQE65EOM3Q

not attested not anchored not stored refs pending

A fully discrete variational scheme for solving nonlinear Fokker-Planck equations in higher space dimensions

Daniel Matthes, Horst Osberger, Oliver Junge

arxiv:1509.07721 v3 · 2015-09-25 · math.NA · 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{4SLHB4FDALV2MVA2WQE65EOM3Q}

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	2026-05-18T01:23:11.953768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49670f0a302eba6541ab409ee91ccdc1dc24f2123093127899bee63bb296e6c

Aliases

arxiv: 1509.07721 · arxiv_version: 1509.07721v3 · doi: 10.48550/arxiv.1509.07721 · pith_short_12: 4SLHB4FDALV2 · pith_short_16: 4SLHB4FDALV2MVA2 · pith_short_8: 4SLHB4FD

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/4SLHB4FDALV2MVA2WQE65EOM3Q \
  | 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: e49670f0a302eba6541ab409ee91ccdc1dc24f2123093127899bee63bb296e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9588df449edb9fb23ceecf7dc95f64beaa4d8ad2df3ce8dc125d1cea6db6c83b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-25T14:01:18Z",
    "title_canon_sha256": "1fa7bef77bc60a066293f7e882d8412c0bc234c36d274beeeabb69f5bc048ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07721",
    "kind": "arxiv",
    "version": 3
  }
}