Pith Number

pith:CKJF3UWN

pith:2003:CKJF3UWNA3OQ4ODHDVSN3RWMWX

not attested not anchored not stored refs pending

Two-loop HTL Thermodynamics with Quarks

Emmanuel Petitgirard, Jens O. Andersen, Michael Strickland

arxiv:hep-ph/0302069 v1 · 2003-02-10 · 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{CKJF3UWNA3OQ4ODHDVSN3RWMWX}

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	2026-07-04T16:40:29.675852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12925dd2cd06dd0e38671d64ddc6ccb5c2de15387ee09cfb5fa423420e897895

Aliases

arxiv: hep-ph/0302069 · arxiv_version: hep-ph/0302069v1 · doi: 10.48550/arxiv.hep-ph/0302069 · pith_short_12: CKJF3UWNA3OQ · pith_short_16: CKJF3UWNA3OQ4ODH · pith_short_8: CKJF3UWN

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/CKJF3UWNA3OQ4ODHDVSN3RWMWX \
  | 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: 12925dd2cd06dd0e38671d64ddc6ccb5c2de15387ee09cfb5fa423420e897895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2bab11d11c151a7d33900459124f8f6e5f79e94fb0617b57785dd298949a23",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-02-10T20:55:11Z",
    "title_canon_sha256": "d0663bb1badde187d0883c2cbf072c4d1ea62adb1d4234a072e66302c9eeaae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0302069",
    "kind": "arxiv",
    "version": 1
  }
}