Pith Number

pith:6GFL2CJQ

pith:1998:6GFL2CJQKZCZT6HRWGXNMXPAI4

not attested not anchored not stored refs pending

The next to leading order effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model at finite temperature

E. P. Esposito, I. A. Shovkovy, L. C. R. Wijewardhana

arxiv:hep-ph/9803231 v3 · 1998-03-03 · hep-ph · hep-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{6GFL2CJQKZCZT6HRWGXNMXPAI4}

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	2026-05-18T01:08:04.602942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f18abd0930564599f8f1b1aed65de04704a9f45fbbc58a1979ac35c7a3d51dec

Aliases

arxiv: hep-ph/9803231 · arxiv_version: hep-ph/9803231v3 · doi: 10.48550/arxiv.hep-ph/9803231 · pith_short_12: 6GFL2CJQKZCZ · pith_short_16: 6GFL2CJQKZCZT6HR · pith_short_8: 6GFL2CJQ

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/6GFL2CJQKZCZT6HRWGXNMXPAI4 \
  | 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: f18abd0930564599f8f1b1aed65de04704a9f45fbbc58a1979ac35c7a3d51dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1a3fb40e0d2e43f7e8318f90d101564b3bd085286cf0260e8ef210a648a190",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-03-03T18:04:31Z",
    "title_canon_sha256": "fa53747e2874f8c95fb99f0713543b067b3c1c40d11a25f7596aa963ceaafb1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9803231",
    "kind": "arxiv",
    "version": 3
  }
}