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Pith Number

pith:4HNFU6E6

pith:2010:4HNFU6E6ER42C3QV5KODQP5ZYI
not attested not anchored not stored refs pending

Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop

C. A. de Sousa, H. Hansen, M. C. Ruivo, Pedro Costa

arxiv:1007.1380 v1 · 2010-07-08 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4HNFU6E6ER42C3QV5KODQP5ZYI}

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 2026-05-18T02:33:09.501214Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1da5a789e2479a16e15ea9c383fb9c21e7ba7b904fec541da8fb777f651ffb9

Aliases

arxiv: 1007.1380 · arxiv_version: 1007.1380v1 · doi: 10.48550/arxiv.1007.1380 · pith_short_12: 4HNFU6E6ER42 · pith_short_16: 4HNFU6E6ER42C3QV · pith_short_8: 4HNFU6E6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HNFU6E6ER42C3QV5KODQP5ZYI \
  | 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: e1da5a789e2479a16e15ea9c383fb9c21e7ba7b904fec541da8fb777f651ffb9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9389b350fb377787a45a2f2098abdac79ee274bb55a0e19e0c138b6cae0e0f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-07-08T13:56:42Z",
    "title_canon_sha256": "6fd5804ff9e09515ef0b84502bd3560b5c6b6aed42d7ca34d17d05c70c8f1caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1380",
    "kind": "arxiv",
    "version": 1
  }
}