Pith Number

pith:WPN6LU4A

pith:2010:WPN6LU4A5FJRB5I5LQNOH7PQTQ

not attested not anchored not stored refs pending

NNLO hard-thermal-loop thermodynamics for QCD

Jens O. Andersen, Lars E. Leganger, Michael Strickland, Nan Su

arxiv:1009.4644 v1 · 2010-09-23 · hep-ph · hep-lat · 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{WPN6LU4A5FJRB5I5LQNOH7PQTQ}

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.

Cited by

1 paper in Pith

Thermal corrections to Regge trajectories

Receipt and verification

First computed	2026-05-18T04:27:26.722458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3dbe5d380e95310f51d5c1ae3fdf09c066afc0f6092aaf80e85c14c2b2c09ea

Aliases

arxiv: 1009.4644 · arxiv_version: 1009.4644v1 · doi: 10.48550/arxiv.1009.4644 · pith_short_12: WPN6LU4A5FJR · pith_short_16: WPN6LU4A5FJRB5I5 · pith_short_8: WPN6LU4A

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/WPN6LU4A5FJRB5I5LQNOH7PQTQ \
  | 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: b3dbe5d380e95310f51d5c1ae3fdf09c066afc0f6092aaf80e85c14c2b2c09ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a9f5ebe52e6b18b3839920377627b5267fc84e9b02d99cfcdc96f9039f1414",
    "cross_cats_sorted": [
      "hep-lat",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-09-23T15:50:29Z",
    "title_canon_sha256": "8370ed2327182ac71268da0d5241df31556bc3d98ee785c24bbc9f9373601601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4644",
    "kind": "arxiv",
    "version": 1
  }
}