Pith Number

pith:VRV35LJP

pith:2011:VRV35LJPDXY3BV4UXPQNTLRO3Q

not attested not anchored not stored refs pending

The central limit theorem for extremal characters of the infinite symmetric group

Alexey Bufetov

arxiv:1105.1519 v2 · 2011-05-08 · math.RT · 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{VRV35LJPDXY3BV4UXPQNTLRO3Q}

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	2026-05-18T04:18:15.046848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6bbead2f1df1b0d794bbe0d9ae2edc315ad14213854a4b572bc38d869b7e51

Aliases

arxiv: 1105.1519 · arxiv_version: 1105.1519v2 · doi: 10.48550/arxiv.1105.1519 · pith_short_12: VRV35LJPDXY3 · pith_short_16: VRV35LJPDXY3BV4U · pith_short_8: VRV35LJP

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/VRV35LJPDXY3BV4UXPQNTLRO3Q \
  | 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: ac6bbead2f1df1b0d794bbe0d9ae2edc315ad14213854a4b572bc38d869b7e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e89ba65e025f4d8fef0f20739b5f44ca87ad1c01a6669760f16849a16d66c5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-08T13:51:22Z",
    "title_canon_sha256": "08810da640f66f6b14e445c62e535f517d4273640170a545948cd3abb49be31e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1519",
    "kind": "arxiv",
    "version": 2
  }
}