Pith Number

pith:2UPFL456

pith:1999:2UPFL456B2WDOW5WHHNDY3VJPH

not attested not anchored not stored refs pending

Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma

Eric Braaten, Jens O. Andersen, Michael Strickland

arxiv:hep-ph/9905337 v3 · 1999-05-14 · 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{2UPFL456B2WDOW5WHHNDY3VJPH}

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	2026-05-18T01:06:05.802630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51e55f3be0eac375bb639da3c6ea979d2e0f928ced079b244513a0d38e25d42

Aliases

arxiv: hep-ph/9905337 · arxiv_version: hep-ph/9905337v3 · doi: 10.48550/arxiv.hep-ph/9905337 · pith_short_12: 2UPFL456B2WD · pith_short_16: 2UPFL456B2WDOW5W · pith_short_8: 2UPFL456

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/2UPFL456B2WDOW5WHHNDY3VJPH \
  | 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: d51e55f3be0eac375bb639da3c6ea979d2e0f928ced079b244513a0d38e25d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10fa5e88358e204d5b9cadb7c0949dc05ada2980ede33c5ffbbf88fe629503af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-05-14T03:15:34Z",
    "title_canon_sha256": "7838c97b037ab09a081e683cb50b71e7d7be68b285708b0128ec651f472f2594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9905337",
    "kind": "arxiv",
    "version": 3
  }
}