Pith Number

pith:5MNXV3H2

pith:2007:5MNXV3H2CZFIOW7ZRFJREC5M62

not attested not anchored not stored refs pending

Asymptotics of Plancherel measures for the infinite-dimensional unitary group

Alexei Borodin, Jeffrey Kuan

arxiv:0712.1848 v1 · 2007-12-11 · math.RT · 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{5MNXV3H2CZFIOW7ZRFJREC5M62}

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	2026-05-18T04:27:25.795977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1b7aecfa164a875bf98953120bacf6af0735e0447eddf4649e857b37a9af9b

Aliases

arxiv: 0712.1848 · arxiv_version: 0712.1848v1 · doi: 10.48550/arxiv.0712.1848 · pith_short_12: 5MNXV3H2CZFI · pith_short_16: 5MNXV3H2CZFIOW7Z · pith_short_8: 5MNXV3H2

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/5MNXV3H2CZFIOW7ZRFJREC5M62 \
  | 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: eb1b7aecfa164a875bf98953120bacf6af0735e0447eddf4649e857b37a9af9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3b90e45e8fdd16252075a6ce90ab674e9c7ab7f4b21ed7ca141c73e0877804",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-12-11T23:38:18Z",
    "title_canon_sha256": "d913ef51fe521142d4f6141e58894c3d0f4ee7452cd33c9d01050edab83866bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1848",
    "kind": "arxiv",
    "version": 1
  }
}