Pith Number

pith:MKHZPVKX

pith:2006:MKHZPVKX6IGOASYG6E6YXZNCR3

not attested not anchored not stored refs pending

WKB-expansion of the HarishChandra-Itzykson-Zuber integral for arbitrary beta

E. Brezin, S. Hikami

arxiv:math-ph/0604041 v1 · 2006-04-18 · 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{MKHZPVKX6IGOASYG6E6YXZNCR3}

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

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

Receipt and verification

First computed	2026-07-04T17:02:06.147848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628f97d557f20ce04b06f13d8be5a28ed5242e395c920aca83f3e14c28ea91ed

Aliases

arxiv: math-ph/0604041 · arxiv_version: math-ph/0604041v1 · doi: 10.48550/arxiv.math-ph/0604041 · pith_short_12: MKHZPVKX6IGO · pith_short_16: MKHZPVKX6IGOASYG · pith_short_8: MKHZPVKX

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/MKHZPVKX6IGOASYG6E6YXZNCR3 \
  | 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: 628f97d557f20ce04b06f13d8be5a28ed5242e395c920aca83f3e14c28ea91ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cdf39afb1038dbcada014b54ae13440bddf87a09b3dd311fd45f03284a89df",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-18T09:59:56Z",
    "title_canon_sha256": "743d59a7cc7450ac337893cf0b5bc52f0338f330cb3c492e19a39e0cbc0fd5c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604041",
    "kind": "arxiv",
    "version": 1
  }
}