Pith Number

pith:64WL4WG2

pith:2011:64WL4WG2I5SZ2SWRQNCLBIBKY5

not attested not anchored not stored refs pending

The Wigner solution of quark gap equation at nonzero current quark mass and partial restoration of chiral symmetry at finite chemical potential

Hao Gong, Hong-shi Zong, Wei-Min Sun, Yu Jiang

arxiv:1107.5111 v2 · 2011-07-26 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64WL4WG2I5SZ2SWRQNCLBIBKY5}

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	2026-05-18T02:01:10.009400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72cbe58da47659d4ad18344b0a02ac779efd635b9a731ff5317fc9b28af2a34

Aliases

arxiv: 1107.5111 · arxiv_version: 1107.5111v2 · doi: 10.48550/arxiv.1107.5111 · pith_short_12: 64WL4WG2I5SZ · pith_short_16: 64WL4WG2I5SZ2SWR · pith_short_8: 64WL4WG2

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/64WL4WG2I5SZ2SWRQNCLBIBKY5 \
  | 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: f72cbe58da47659d4ad18344b0a02ac779efd635b9a731ff5317fc9b28af2a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65341f956b03f657986650866fb78de4dbf7786edba2475ca99bb071e41aafe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-07-26T03:34:43Z",
    "title_canon_sha256": "1b1c82bc893784695a9cb3a013f17ac2f11e30bd143bc6d86a0d3690909bfc68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5111",
    "kind": "arxiv",
    "version": 2
  }
}