Pith Number

pith:P3YD5WXV

pith:2001:P3YD5WXVHJLLMMGEZGSFKFZ22M

not attested not anchored not stored refs pending

Kinetic Equation for Gluons in the Background Gauge of QCD

H. St\"ocker, K. Redlich, Q. Wang, W. Greiner

arxiv:nucl-th/0111040 v2 · 2001-11-13 · nucl-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3YD5WXVHJLLMMGEZGSFKFZ22M}

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	2026-07-04T15:32:34.977724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef03edaf53a56b630c4c9a455173ad33c4124204a8cd3de9ea092e49bbdb48c

Aliases

arxiv: nucl-th/0111040 · arxiv_version: nucl-th/0111040v2 · doi: 10.48550/arxiv.nucl-th/0111040 · pith_short_12: P3YD5WXVHJLL · pith_short_16: P3YD5WXVHJLLMMGE · pith_short_8: P3YD5WXV

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/P3YD5WXVHJLLMMGEZGSFKFZ22M \
  | 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: 7ef03edaf53a56b630c4c9a455173ad33c4124204a8cd3de9ea092e49bbdb48c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46e46ad963153831e2843f7c38ee175c8b6f421298ef53c25f74f790ca86fa4",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2001-11-13T15:20:57Z",
    "title_canon_sha256": "133ee066a63f964bcf620391a99fb34d4b9bdbde6b0e574a84b0e92034daa59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0111040",
    "kind": "arxiv",
    "version": 2
  }
}