Pith Number

pith:SP5MSMKT

pith:2026:SP5MSMKTA3OA7BEWRWKV32ZBQA

not attested not anchored not stored refs pending

Quark matter at finite temperature and proto-quark stars with the axion effects in SU(3) Nambu-Jona-Lasinio model

He Liu, Hong-Ming Liu, Jiao-Jiao Wang, Ke Liu, Min Ju, Peng-Cheng Chu, Peng Wu, Xiao-Hua Li, Xu-Hao Wu, Ying Zhou, Yu-Heng Liu

arxiv:2608.06024 v1 · 2026-08-06 · 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{SP5MSMKTA3OA7BEWRWKV32ZBQA}

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	2026-08-07T00:55:08.391198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fac9315306dc0f84968d955deb2180177279aaed2a28ba35468de7ccf42458

Aliases

arxiv: 2608.06024 · arxiv_version: 2608.06024v1 · doi: 10.48550/arxiv.2608.06024 · pith_short_12: SP5MSMKTA3OA · pith_short_16: SP5MSMKTA3OA7BEW · pith_short_8: SP5MSMKT

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/SP5MSMKTA3OA7BEWRWKV32ZBQA \
  | 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: 93fac9315306dc0f84968d955deb2180177279aaed2a28ba35468de7ccf42458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fadbf69dced903c88dc910b34714f9909f7ef71ea5c7137c2725949a6c8d87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2026-08-06T13:31:00Z",
    "title_canon_sha256": "b108bc92ba11f27d91a6d60bc013f61080eb74843c137823e2f8856b582c5c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06024",
    "kind": "arxiv",
    "version": 1
  }
}