Pith Number

pith:TRYY3MPR

pith:2024:TRYY3MPRVKHAQCAH5UHG5CNMIQ

not attested not anchored not stored refs pending

A consistent non-linear Fokker-Planck model for a gas mixture of polyatomic molecules

Marlies Pirner

arxiv:2501.04029 v1 · 2024-12-31 · 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{TRYY3MPRVKHAQCAH5UHG5CNMIQ}

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	2026-07-05T09:58:28.757386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c718db1f1aa8e080807ed0e6e89ac440f1a65583ec5944ef6cda0c688c69e7b

Aliases

arxiv: 2501.04029 · arxiv_version: 2501.04029v1 · doi: 10.48550/arxiv.2501.04029 · pith_short_12: TRYY3MPRVKHA · pith_short_16: TRYY3MPRVKHAQCAH · pith_short_8: TRYY3MPR

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/TRYY3MPRVKHAQCAH5UHG5CNMIQ \
  | 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: 9c718db1f1aa8e080807ed0e6e89ac440f1a65583ec5944ef6cda0c688c69e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5d014b54aa3659129162b88704e0e6e6e66ebb368aef4209a1af1759da2a3f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-31T09:12:56Z",
    "title_canon_sha256": "8883e1c3e277f72c98692edcd06cbea24e270974f79e6e142dd4888158be0929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04029",
    "kind": "arxiv",
    "version": 1
  }
}