Pith Number

pith:MM67T3AX

pith:2002:MM67T3AXDXIDKR7WXN7FG4623E

not attested not anchored not stored refs pending

On some integrals over the U(N) unitary group and their large N limit

J.-B. Zuber, P. Zinn-Justin

arxiv:math-ph/0209019 v3 · 2002-09-10 · math-ph · cond-mat · hep-th · math.CO · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MM67T3AXDXIDKR7WXN7FG4623E}

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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

More on Slavnov Products of Spin Chains and KP Hierarchy Tau Functions

Receipt and verification

First computed	2026-07-04T15:52:12.560492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633df9ec171dd03547f6bb7e5373dad9117b65e0d914740399d87a19c50dc470

Aliases

arxiv: math-ph/0209019 · arxiv_version: math-ph/0209019v3 · doi: 10.48550/arxiv.math-ph/0209019 · pith_short_12: MM67T3AXDXID · pith_short_16: MM67T3AXDXIDKR7W · pith_short_8: MM67T3AX

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/MM67T3AXDXIDKR7WXN7FG4623E \
  | 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: 633df9ec171dd03547f6bb7e5373dad9117b65e0d914740399d87a19c50dc470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18df0e9f620fc95e4bedba0cb4bb048252513cbd950dc9d62f368bf015c7eec",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-09-10T17:49:15Z",
    "title_canon_sha256": "3752d9c45d0c322832413a2f7922785d726cd01b99823680e2c66759923854a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0209019",
    "kind": "arxiv",
    "version": 3
  }
}