Pith Number

pith:CRUG3TET

pith:2013:CRUG3TET6QDLR75KK7WYIF4TCB

not attested not anchored not stored refs pending

Plancherel representations of $U(\infty)$ and correlated Gaussian Free Fields

Alexei Borodin, Alexey Bufetov

arxiv:1301.0511 v1 · 2013-01-03 · math.RT · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRUG3TET6QDLR75KK7WYIF4TCB}

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.

Receipt and verification

First computed	2026-05-18T02:29:32.504508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14686dcc93f406b8ffaa57ed8417931062c89f66bec37041bde398501435e0d6

Aliases

arxiv: 1301.0511 · arxiv_version: 1301.0511v1 · doi: 10.48550/arxiv.1301.0511 · pith_short_12: CRUG3TET6QDL · pith_short_16: CRUG3TET6QDLR75K · pith_short_8: CRUG3TET

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/CRUG3TET6QDLR75KK7WYIF4TCB \
  | 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: 14686dcc93f406b8ffaa57ed8417931062c89f66bec37041bde398501435e0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d425c37c4958190215cece6da0b0b943dee4b7f76f2844d71565d0ab9f2d70cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-03T17:13:43Z",
    "title_canon_sha256": "b2af5dd5c6b6f0539ee3858ae79c2f3b10fa0767781d22bc01918ac410e55627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0511",
    "kind": "arxiv",
    "version": 1
  }
}