Pith Number

pith:EEIYNF5V

pith:2022:EEIYNF5VM53QD3I6S7EAHL5LO6

not attested not anchored not stored refs pending

Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence

Mario Kieburg, Nico Hahn, Omri Gat, Thomas Guhr

arxiv:2207.08612 v2 · 2022-07-18 · math-ph · cond-mat.dis-nn · 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{EEIYNF5VM53QD3I6S7EAHL5LO6}

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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	2026-07-05T05:40:31.570264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21118697b5677701ed1e97c803afab77a8fe99149e02362c4b5573f0fedd498e

Aliases

arxiv: 2207.08612 · arxiv_version: 2207.08612v2 · doi: 10.48550/arxiv.2207.08612 · pith_short_12: EEIYNF5VM53Q · pith_short_16: EEIYNF5VM53QD3I6 · pith_short_8: EEIYNF5V

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/EEIYNF5VM53QD3I6S7EAHL5LO6 \
  | 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: 21118697b5677701ed1e97c803afab77a8fe99149e02362c4b5573f0fedd498e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab5f1594897abdecbf4e85a0de19942a996448491102ace5557fb1cd8305b4f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-07-18T13:59:13Z",
    "title_canon_sha256": "0c9527eaff100b64dc473a7f574ffafded61ef5ad5862ea2b8781bff70fd62b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08612",
    "kind": "arxiv",
    "version": 2
  }
}