Pith Number

pith:ZF6K3ZXT

pith:2013:ZF6K3ZXTND3KEZ2HPAQ7TTRIMQ

not attested not anchored not stored refs pending

Weingarten calculus for matrix ensembles associated with compact symmetric spaces

Sho Matsumoto

arxiv:1301.5401 v3 · 2013-01-23 · math.PR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF6K3ZXTND3KEZ2HPAQ7TTRIMQ}

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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

2 papers in Pith

Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling

Classical shadows over symmetric spaces

Receipt and verification

First computed	2026-05-18T03:19:24.278360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97cade6f368f6a267477821f9ce286405e676a219dfed07f6b0576f47d1ac5f

Aliases

arxiv: 1301.5401 · arxiv_version: 1301.5401v3 · doi: 10.48550/arxiv.1301.5401 · pith_short_12: ZF6K3ZXTND3K · pith_short_16: ZF6K3ZXTND3KEZ2H · pith_short_8: ZF6K3ZXT

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/ZF6K3ZXTND3KEZ2HPAQ7TTRIMQ \
  | 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: c97cade6f368f6a267477821f9ce286405e676a219dfed07f6b0576f47d1ac5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4ca5aa47e26dee49cb78a7a17dc569d2c5d0981ec2e1826bad7161d99c57b5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-23T04:22:46Z",
    "title_canon_sha256": "7e7b88aebd53cb9bac9eab87f9a187b91d730ba91e5dc99611e47ebb1432a7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5401",
    "kind": "arxiv",
    "version": 3
  }
}