Pith Number

pith:G7C7T3XQ

pith:2018:G7C7T3XQCPLVADAYSKF3FXOI2Y

not attested not anchored not stored refs pending

Three theorems on the uniqueness of the Plancherel measure from different viewpoints

A.Vershik

arxiv:1812.03081 v2 · 2018-12-07 · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7C7T3XQCPLVADAYSKF3FXOI2Y}

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	2026-05-17T23:58:13.319227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c5f9eef013d7500c18928bb2ddc8d6195d961889c560284b43a359cbb279a4

Aliases

arxiv: 1812.03081 · arxiv_version: 1812.03081v2 · doi: 10.48550/arxiv.1812.03081 · pith_short_12: G7C7T3XQCPLV · pith_short_16: G7C7T3XQCPLVADAY · pith_short_8: G7C7T3XQ

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/G7C7T3XQCPLVADAYSKF3FXOI2Y \
  | 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: 37c5f9eef013d7500c18928bb2ddc8d6195d961889c560284b43a359cbb279a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac23b8e5f066ddbf5cf04c092f778054ced92d63d27c6120fc4e8fbb4ea40cec",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-07T16:05:10Z",
    "title_canon_sha256": "3a3f38526e87fc0050621328109bc4b0045692567133f3263794ec66a7d123b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03081",
    "kind": "arxiv",
    "version": 2
  }
}