Pith Number

pith:WGALBU3X

pith:2021:WGALBU3XYNGUGPWWCAGZSGDHKV

not attested not anchored not stored refs pending

Winding Number Statistics of a Parametric Chiral Unitary Random Matrix Ensemble

Daniel Waltner, Nico Hahn, Omri Gat, Petr Braun, Thomas Guhr

arxiv:2112.14575 v1 · 2021-12-29 · 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{WGALBU3XYNGUGPWWCAGZSGDHKV}

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	2026-07-05T05:40:30.271392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b180b0d377c34d433ed6100d9918675564d20caa3e7f7a3eec96b60df4239463

Aliases

arxiv: 2112.14575 · arxiv_version: 2112.14575v1 · doi: 10.48550/arxiv.2112.14575 · pith_short_12: WGALBU3XYNGU · pith_short_16: WGALBU3XYNGUGPWW · pith_short_8: WGALBU3X

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/WGALBU3XYNGUGPWWCAGZSGDHKV \
  | 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: b180b0d377c34d433ed6100d9918675564d20caa3e7f7a3eec96b60df4239463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee2c5b6c8ff34d4f51fe81f595fd650126839c131c250406e3c759ef60a4009",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-12-29T14:34:58Z",
    "title_canon_sha256": "a973892fdf19caa71c11438555123bb2fca8e65c38990e38336fea30e6a95ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14575",
    "kind": "arxiv",
    "version": 1
  }
}