Pith Number

pith:HWA32SZ2

pith:2002:HWA32SZ2YMCTEUMMAJ3TQ2XTHD

not attested not anchored not stored refs pending

An extension of the HarishChandra-Itzykson-Zuber integral

E. Brezin, S. Hikami

arxiv:math-ph/0208002 v1 · 2002-08-01 · 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{HWA32SZ2YMCTEUMMAJ3TQ2XTHD}

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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

Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D

Receipt and verification

First computed	2026-07-04T16:35:11.105797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d81bd4b3ac30532518c0277386af338e695a28cd5431b35f3332cda5d47ef2b

Aliases

arxiv: math-ph/0208002 · arxiv_version: math-ph/0208002v1 · doi: 10.48550/arxiv.math-ph/0208002 · pith_short_12: HWA32SZ2YMCT · pith_short_16: HWA32SZ2YMCTEUMM · pith_short_8: HWA32SZ2

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/HWA32SZ2YMCTEUMMAJ3TQ2XTHD \
  | 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: 3d81bd4b3ac30532518c0277386af338e695a28cd5431b35f3332cda5d47ef2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5ae86fdfe080417045ce37e538a7693a73342b5f1176950da648563de2513ae",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-08-01T07:10:25Z",
    "title_canon_sha256": "b4d31bf1e4575121b818d35fd2d338b3b4e33f358ffd7e3d54b68e1db20e24eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0208002",
    "kind": "arxiv",
    "version": 1
  }
}