Pith Number

pith:IKOTPBZZ

pith:2023:IKOTPBZZPGS5X3QR7XECXQOCPD

not attested not anchored not stored refs pending

Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case

Mario Kieburg, Nico Hahn, Omri Gat, Thomas Guhr

arxiv:2306.12051 v2 · 2023-06-21 · 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{IKOTPBZZPGS5X3QR7XECXQOCPD}

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

2 papers in Pith

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

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-07-05T08:00:34.101935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429d37873979a5dbee11fdc82bc1c278d8519be26b9d8a455d81b7a2493706f2

Aliases

arxiv: 2306.12051 · arxiv_version: 2306.12051v2 · doi: 10.48550/arxiv.2306.12051 · pith_short_12: IKOTPBZZPGS5 · pith_short_16: IKOTPBZZPGS5X3QR · pith_short_8: IKOTPBZZ

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/IKOTPBZZPGS5X3QR7XECXQOCPD \
  | 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: 429d37873979a5dbee11fdc82bc1c278d8519be26b9d8a455d81b7a2493706f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab86a07e7cd7846d64d6bdd5f27a691f62b7ba84a890ce5d51f7be9b08b6a73",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-06-21T06:43:39Z",
    "title_canon_sha256": "e601c73817994176f3f68aa33ad54abd5270dff6115a37e8f5bb44e8fee5442f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.12051",
    "kind": "arxiv",
    "version": 2
  }
}