pith. sign in
Pith Number

pith:E7QJNMT7

pith:1998:E7QJNMT7WYC5WRFQQRU4X65J4F
not attested not anchored not stored refs pending

Chiral symmetry and the pion gas virial expansion

A. Dobado, J. R. Pelaez

arxiv:hep-ph/9806416 v1 · 1998-06-19 · hep-ph · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E7QJNMT7WYC5WRFQQRU4X65J4F}

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 2026-05-18T01:08:04.354050Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27e096b27fb605db44b08469cbfba9e1699d40467acb081112e3fff87816edc4

Aliases

arxiv: hep-ph/9806416 · arxiv_version: hep-ph/9806416v1 · doi: 10.48550/arxiv.hep-ph/9806416 · pith_short_12: E7QJNMT7WYC5 · pith_short_16: E7QJNMT7WYC5WRFQ · pith_short_8: E7QJNMT7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E7QJNMT7WYC5WRFQQRU4X65J4F \
  | 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: 27e096b27fb605db44b08469cbfba9e1699d40467acb081112e3fff87816edc4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "75081346865eff0d701b9fe2d8be5d78fe793c5f52b1101d3312685089711670",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-06-19T02:49:10Z",
    "title_canon_sha256": "2981003eb60e2c11200c98eb16646a419212401a5454531302e897fd57544925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9806416",
    "kind": "arxiv",
    "version": 1
  }
}