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Pith Number

pith:OKWSCTQH

pith:2013:OKWSCTQHDWMAOS3POJERY3W6XM
not attested not anchored not stored refs pending

Hard thermal loops in long wave-length and static external gravitational fields

J. Frenkel, R. R. Francisco

arxiv:1301.2108 v1 · 2013-01-10 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OKWSCTQHDWMAOS3POJERY3W6XM}

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 2026-05-18T01:52:13.951766Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

72ad214e071d98074b6f72491c6edebb389c548840e5444a07dded0ddaf05622

Aliases

arxiv: 1301.2108 · arxiv_version: 1301.2108v1 · doi: 10.48550/arxiv.1301.2108 · pith_short_12: OKWSCTQHDWMA · pith_short_16: OKWSCTQHDWMAOS3P · pith_short_8: OKWSCTQH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OKWSCTQHDWMAOS3POJERY3W6XM \
  | 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: 72ad214e071d98074b6f72491c6edebb389c548840e5444a07dded0ddaf05622
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e522965ee531d3f0fcacf6e9041dfaa682a615afadef04e7eb672d32d61a9527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-01-10T13:06:02Z",
    "title_canon_sha256": "a9a09808b6175108055912032a228ea390a84a8af35e89418d45dabc2e9bcd05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2108",
    "kind": "arxiv",
    "version": 1
  }
}