Pith Number

pith:TPHZDPZQ

pith:2010:TPHZDPZQNVJDWZVOD7LP6AVGKD

not attested not anchored not stored refs pending

On the Vershik-Kerov Conjecture Concerning the Shannon-McMillan-Breiman Theorem for the Plancherel Family of Measures on the Space of Young Diagrams

Alexander I. Bufetov

arxiv:1001.4275 v3 · 2010-01-24 · math.RT · math.DS · 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{TPHZDPZQNVJDWZVOD7LP6AVGKD}

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	2026-05-18T02:46:38.087607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcf91bf306d523b66ae1fd6ff02a650dad7853c41e4d24b37c68affd3c30571

Aliases

arxiv: 1001.4275 · arxiv_version: 1001.4275v3 · doi: 10.48550/arxiv.1001.4275 · pith_short_12: TPHZDPZQNVJD · pith_short_16: TPHZDPZQNVJDWZVO · pith_short_8: TPHZDPZQ

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/TPHZDPZQNVJDWZVOD7LP6AVGKD \
  | 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: 9bcf91bf306d523b66ae1fd6ff02a650dad7853c41e4d24b37c68affd3c30571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb87d147d249f693f305ac5574caaf0bfb275960d6a3c395396566f1e19b2f4",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-01-24T20:30:31Z",
    "title_canon_sha256": "bbc6b65d49552895097350d0c317a3df3e0c6e9e23c6ac88bb750f2bc977455a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4275",
    "kind": "arxiv",
    "version": 3
  }
}