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Pith Number

pith:L5O36ME6

pith:2009:L5O36ME6OQZEPI6QR63DTJSGNZ
not attested not anchored not stored refs pending

Hard thermal loops in static external fields

J. Frenkel, N. Takahashi, S. H. Pereira

arxiv:0902.0757 v1 · 2009-02-04 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L5O36ME6OQZEPI6QR63DTJSGNZ}

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 2026-05-18T04:09:04.020556Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5f5dbf309e743247a3d08fb639a6466e77ecca20dd754d596810774d48bde9e3

Aliases

arxiv: 0902.0757 · arxiv_version: 0902.0757v1 · doi: 10.48550/arxiv.0902.0757 · pith_short_12: L5O36ME6OQZE · pith_short_16: L5O36ME6OQZEPI6Q · pith_short_8: L5O36ME6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L5O36ME6OQZEPI6QR63DTJSGNZ \
  | 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: 5f5dbf309e743247a3d08fb639a6466e77ecca20dd754d596810774d48bde9e3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "23375d599eb08863e26b1670148571f71940d7b0f4ce2d6e15af296c9fa0c0df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-04T17:59:41Z",
    "title_canon_sha256": "cad8b1bcc04e66144460a353edd6a32398d42bfa6136c96b3b737e5e99dce71c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0757",
    "kind": "arxiv",
    "version": 1
  }
}