Pith Number

pith:CGBRNETU

pith:2016:CGBRNETU5QIQBZ4SLBGQOYOMRC

not attested not anchored not stored refs pending

An entropy satisfying discontinuous Galerkin method for nonlinear Fokker-Planck equations

Hailiang Liu, Zhongming Wang

arxiv:1601.02547 v1 · 2016-01-11 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGBRNETU5QIQBZ4SLBGQOYOMRC}

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	2026-05-18T01:23:04.874886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1183169274ec1100e792584d0761cc88b1d6846cd3386d4643d7fc409de0f315

Aliases

arxiv: 1601.02547 · arxiv_version: 1601.02547v1 · doi: 10.48550/arxiv.1601.02547 · pith_short_12: CGBRNETU5QIQ · pith_short_16: CGBRNETU5QIQBZ4S · pith_short_8: CGBRNETU

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/CGBRNETU5QIQBZ4SLBGQOYOMRC \
  | 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: 1183169274ec1100e792584d0761cc88b1d6846cd3386d4643d7fc409de0f315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d87ba1c145af1d9f0de85979c7d90d4083f9905f517717ccfb314c0ba8f54f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-01-11T18:27:12Z",
    "title_canon_sha256": "bd2763fd413f817a4ec7f1dc6593432ba5adce7c60bd138fbd6410a8642be5b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02547",
    "kind": "arxiv",
    "version": 1
  }
}