Pith Number

pith:AEKIHGIG

pith:1994:AEKIHGIG42LGTNACQESSLB3LQB

not attested not anchored not stored refs pending

The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way

Jacobus Verbaarschot

arxiv:hep-th/9401059 v1 · 1994-01-13 · hep-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{AEKIHGIG42LGTNACQESSLB3LQB}

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.

Cited by

3 papers in Pith

Analysis of the QCD Kondo phase using random matrices

Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T04:18:13.853717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0114839906e69669b402812525876b804b8954cffc48200be69fe459c7c384f9

Aliases

arxiv: hep-th/9401059 · arxiv_version: hep-th/9401059v1 · doi: 10.48550/arxiv.hep-th/9401059 · pith_short_12: AEKIHGIG42LG · pith_short_16: AEKIHGIG42LGTNAC · pith_short_8: AEKIHGIG

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/AEKIHGIG42LGTNACQESSLB3LQB \
  | 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: 0114839906e69669b402812525876b804b8954cffc48200be69fe459c7c384f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9e631d165a3960fc72878d541987703e8a1205a3b46f48c6a803c5d73ce7cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-01-13T23:11:44Z",
    "title_canon_sha256": "a19fc0522ef05cb91f557caf7fdd4cee2f7033fa76795d4da80d338a311e6c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9401059",
    "kind": "arxiv",
    "version": 1
  }
}