Pith Number

pith:OGCIXCOO

pith:1999:OGCIXCOOTM7MXWVAYDX3MLKPMG

not attested not anchored not stored refs pending

Covariant Perturbation Theory of Non-Abelian Kinetic Theory

Jiarong Li, Xiaoping Zheng

arxiv:hep-ph/9911325 v2 · 1999-11-12 · hep-ph · hep-th · 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{OGCIXCOOTM7MXWVAYDX3MLKPMG}

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	2026-07-04T14:31:14.828035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71848b89ce9b3ecbdaa0c0efb62d4f61b729859d55f422e9cec24376ff1e9a4f

Aliases

arxiv: hep-ph/9911325 · arxiv_version: hep-ph/9911325v2 · doi: 10.48550/arxiv.hep-ph/9911325 · pith_short_12: OGCIXCOOTM7M · pith_short_16: OGCIXCOOTM7MXWVA · pith_short_8: OGCIXCOO

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/OGCIXCOOTM7MXWVAYDX3MLKPMG \
  | 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: 71848b89ce9b3ecbdaa0c0efb62d4f61b729859d55f422e9cec24376ff1e9a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68245bb010e3f8ca369f1a9b9740d95a3d381a3ad02c4aa9316bbc02070e29ee",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-12T07:01:42Z",
    "title_canon_sha256": "6d155887a7b62136884a9008f13252a6bf6b6e93ed4cfef8d02761e003a3862d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911325",
    "kind": "arxiv",
    "version": 2
  }
}