Pith Number

pith:4N3TYKV6

pith:2018:4N3TYKV6FEGLKP3VN6HVC4DZCT

not attested not anchored not stored refs pending

Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator

Masamichi Ishihara

arxiv:1809.03128 v2 · 2018-09-10 · hep-ph · nucl-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{4N3TYKV6FEGLKP3VN6HVC4DZCT}

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	2026-05-17T23:41:36.938834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3773c2abe290cb53f756f8f51707914fc652653d8926f4331bfcafaee2d4299

Aliases

arxiv: 1809.03128 · arxiv_version: 1809.03128v2 · doi: 10.48550/arxiv.1809.03128 · pith_short_12: 4N3TYKV6FEGL · pith_short_16: 4N3TYKV6FEGLKP3V · pith_short_8: 4N3TYKV6

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/4N3TYKV6FEGLKP3VN6HVC4DZCT \
  | 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: e3773c2abe290cb53f756f8f51707914fc652653d8926f4331bfcafaee2d4299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a831c4c0199d031080f42c76ba0472966b1471e334b578dfe8f91aabee970516",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-09-10T04:33:40Z",
    "title_canon_sha256": "69003f519b98aba539fab7207b4708eeabead875214ac25e534bc4ea4cdafc6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03128",
    "kind": "arxiv",
    "version": 2
  }
}