Pith Number

pith:2D5VCMJQ

pith:2014:2D5VCMJQWXUMLHIS2NK2FQ3HXX

not attested not anchored not stored refs pending

Boltzmann Equation Solver Adapted to Emergent Chemical Non-equilibrium

Jeremiah Birrell, Johann Rafelski, Jon Wilkening

arxiv:1403.2019 v2 · 2014-03-09 · math.NA · astro-ph.CO · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2D5VCMJQWXUMLHIS2NK2FQ3HXX}

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	2026-05-18T01:44:12.033141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fb513130b5e8c59d12d355a2c367bdef0499ccd7543d74774cb5a665989f8f

Aliases

arxiv: 1403.2019 · arxiv_version: 1403.2019v2 · doi: 10.48550/arxiv.1403.2019 · pith_short_12: 2D5VCMJQWXUM · pith_short_16: 2D5VCMJQWXUMLHIS · pith_short_8: 2D5VCMJQ

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/2D5VCMJQWXUMLHIS2NK2FQ3HXX \
  | 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: d0fb513130b5e8c59d12d355a2c367bdef0499ccd7543d74774cb5a665989f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236f6bc79dcd602c977b9d4ec550a82b2f958816560c4485876922ba75d09de5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-03-09T00:40:56Z",
    "title_canon_sha256": "dbefaccf6f7d4b67c425285d483f0c42a4fb3d8d4d71e7a4683ec37ed0702712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2019",
    "kind": "arxiv",
    "version": 2
  }
}