Pith Number

pith:2YCRXFGA

pith:2024:2YCRXFGADMUNE7FEHW5FVUNTBC

not attested not anchored not stored refs pending

A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions

Cory D. Hauck, Evan Habbershaw, Jeffrey R. Haack, Jingwei Hu

arxiv:2404.11775 v1 · 2024-04-17 · 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{2YCRXFGADMUNE7FEHW5FVUNTBC}

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	2026-07-05T08:09:15.789160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6051b94c01b28d27ca43dba5ad1b308a82fb843078d6c0592d4078b371a3e4e

Aliases

arxiv: 2404.11775 · arxiv_version: 2404.11775v1 · doi: 10.48550/arxiv.2404.11775 · pith_short_12: 2YCRXFGADMUN · pith_short_16: 2YCRXFGADMUNE7FE · pith_short_8: 2YCRXFGA

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/2YCRXFGADMUNE7FEHW5FVUNTBC \
  | 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: d6051b94c01b28d27ca43dba5ad1b308a82fb843078d6c0592d4078b371a3e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae5959448acd72f067f02006527bd15b129fac451ace08dbb5253937c46179a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-04-17T21:57:29Z",
    "title_canon_sha256": "e3faaeb1ce7dc6c6ab2cc3c31295ce9fbfc6f34913b29294ce0380189714a7e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11775",
    "kind": "arxiv",
    "version": 1
  }
}