Pith Number

pith:X4I7D4H7

pith:2011:X4I7D4H7BOO627R73A7MPBG6WP

not attested not anchored not stored refs pending

Eigenvalue Density of the non-Hermitian Wilson Dirac Operator

Jacobus J. M. Verbaarschot, Mario Kieburg, Savvas Zafeiropoulos

arxiv:1109.0656 v4 · 2011-09-03 · hep-lat · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4I7D4H7BOO627R73A7MPBG6WP}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T04:02:52.602463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf11f1f0ff0b9ded7e3fd83ec784deb3fb8ea39fcfb90e123f90158091d92dd7

Aliases

arxiv: 1109.0656 · arxiv_version: 1109.0656v4 · doi: 10.48550/arxiv.1109.0656 · pith_short_12: X4I7D4H7BOO6 · pith_short_16: X4I7D4H7BOO627R7 · pith_short_8: X4I7D4H7

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/X4I7D4H7BOO627R73A7MPBG6WP \
  | 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: bf11f1f0ff0b9ded7e3fd83ec784deb3fb8ea39fcfb90e123f90158091d92dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c52d6a3aec9d14cd8f29a6d0294c844803a328f3b087062be5f5349c8fc081",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2011-09-03T22:37:09Z",
    "title_canon_sha256": "e94ebc4147995511f85a53fa572050b43a39e7edad7eeaafde983d2f3a05f87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0656",
    "kind": "arxiv",
    "version": 4
  }
}