pith. sign in
Pith Number

pith:CDS5NR22

pith:2010:CDS5NR227YCC2HIEWULP5ETZI2
not attested not anchored not stored refs pending

Hard thermal loops for soft or collinear external momenta

Denis Besak, Dietrich Bodeker

arxiv:1002.0022 v2 · 2010-01-29 · hep-ph · hep-th · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CDS5NR227YCC2HIEWULP5ETZI2}

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 2026-05-18T02:09:21.914144Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

10e5d6c75afe042d1d04b516fe927946bb4141cddf61799b0673e873a136f7ff

Aliases

arxiv: 1002.0022 · arxiv_version: 1002.0022v2 · doi: 10.48550/arxiv.1002.0022 · pith_short_12: CDS5NR227YCC · pith_short_16: CDS5NR227YCC2HIE · pith_short_8: CDS5NR22
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CDS5NR227YCC2HIEWULP5ETZI2 \
  | 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: 10e5d6c75afe042d1d04b516fe927946bb4141cddf61799b0673e873a136f7ff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c74c356d4925d581b357a82b4d763fe5eb6397933b372108c9755e1817b42d0e",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-01-29T22:13:49Z",
    "title_canon_sha256": "dddf1aac494344b3c8656994cfe6aecd713f75e214feecc4409a18ab9a107924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0022",
    "kind": "arxiv",
    "version": 2
  }
}