Pith Number

pith:O5NIJNGT

pith:1999:O5NIJNGTF7JUT73GLIFRA5CW7V

not attested not anchored not stored refs pending

Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma

Eric Braaten, Jens O. Andersen, Michael Strickland

arxiv:hep-ph/9902327 v2 · 1999-02-11 · hep-ph · 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{O5NIJNGTF7JUT73GLIFRA5CW7V}

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

Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD

Receipt and verification

First computed	2026-07-04T16:14:04.780589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775a84b4d32fd349ff665a0b107456fd5379f7e7fbb58aca57a2d9a15f1b3ad5

Aliases

arxiv: hep-ph/9902327 · arxiv_version: hep-ph/9902327v2 · doi: 10.48550/arxiv.hep-ph/9902327 · pith_short_12: O5NIJNGTF7JU · pith_short_16: O5NIJNGTF7JUT73G · pith_short_8: O5NIJNGT

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/O5NIJNGTF7JUT73GLIFRA5CW7V \
  | 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: 775a84b4d32fd349ff665a0b107456fd5379f7e7fbb58aca57a2d9a15f1b3ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a69f5b3ba63b7ae62cc93534d189404cb5718037376ba44452759af4cc1891",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-02-11T20:24:16Z",
    "title_canon_sha256": "076760f8f8f48efb9e52acbec89aaaf4ba4ad4d37db5e6bf82e97be01b385c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9902327",
    "kind": "arxiv",
    "version": 2
  }
}