Pith Number

pith:5VAAOVFP

pith:2014:5VAAOVFPTFRGDRV6RY7EOWZI3G

not attested not anchored not stored refs pending

The Boltzmann Equation in Classical Yang-Mills Theory

A. H. Mueller, D. N. Triantafyllopoulos, V. Mathieu

arxiv:1403.1184 v2 · 2014-03-05 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VAAOVFPTFRGDRV6RY7EOWZI3G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:52:06.023341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed400754af996261c6be8e3e475b28d9a8703f24c6ce506439120f1908d0677b

Aliases

arxiv: 1403.1184 · arxiv_version: 1403.1184v2 · doi: 10.48550/arxiv.1403.1184 · pith_short_12: 5VAAOVFPTFRG · pith_short_16: 5VAAOVFPTFRGDRV6 · pith_short_8: 5VAAOVFP

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/5VAAOVFPTFRGDRV6RY7EOWZI3G \
  | 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: ed400754af996261c6be8e3e475b28d9a8703f24c6ce506439120f1908d0677b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49a2bbf5e0313ab54236a6695785805b1a28f5fac4513e447ef0133c3ae3f03",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-03-05T16:38:18Z",
    "title_canon_sha256": "00c63df761cd403f14bd9034d677b6576dc9a95c56207b21fbca3afa3fc34828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1184",
    "kind": "arxiv",
    "version": 2
  }
}