Pith Number

pith:HB7OFBHD

pith:2014:HB7OFBHDEZ6D2LWO3UH7C72TKS

not attested not anchored not stored refs pending

Elementary derivation of Weingarten functions of classical Lie groups

Marcel Novaes

arxiv:1406.2182 v2 · 2014-06-09 · math-ph · math.CO · 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{HB7OFBHDEZ6D2LWO3UH7C72TKS}

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

Theory of the phase transition in random unitary circuits with measurements

Receipt and verification

First computed	2026-05-18T02:29:01.516882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387ee284e3267c3d2ecedd0ff17f5354a460bfbfd886ed370da1cfe034a0492e

Aliases

arxiv: 1406.2182 · arxiv_version: 1406.2182v2 · doi: 10.48550/arxiv.1406.2182 · pith_short_12: HB7OFBHDEZ6D · pith_short_16: HB7OFBHDEZ6D2LWO · pith_short_8: HB7OFBHD

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/HB7OFBHDEZ6D2LWO3UH7C72TKS \
  | 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: 387ee284e3267c3d2ecedd0ff17f5354a460bfbfd886ed370da1cfe034a0492e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520e20b0de0610f43d826f50480f2ed43ba187e96ee3c80b81d2c6b1598d59de",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-09T14:04:19Z",
    "title_canon_sha256": "9b715e9b5ad658c348123572801208381beb43eaafb584b7f98ff2caabb06023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2182",
    "kind": "arxiv",
    "version": 2
  }
}