Pith Number

pith:WU35ZKZI

pith:2003:WU35ZKZIFLOHAJQ5JCWX4LLXD5

not attested not anchored not stored refs pending

Harmonic analysis on the infinite symmetric group

Anatoly Vershik, Grigori Olshanski, Sergei Kerov

arxiv:math/0312270 v1 · 2003-12-12 · math.RT · math-ph · 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{WU35ZKZIFLOHAJQ5JCWX4LLXD5}

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.

Cited by

1 paper in Pith

Double Transposed Poisson Algebras

Receipt and verification

First computed	2026-07-04T16:41:42.055391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b537dcab282adc70261d48ad7e2d771f714b0ba57c533e7b977b92f48ecb10ed

Aliases

arxiv: math/0312270 · arxiv_version: math/0312270v1 · doi: 10.48550/arxiv.math/0312270 · pith_short_12: WU35ZKZIFLOH · pith_short_16: WU35ZKZIFLOHAJQ5 · pith_short_8: WU35ZKZI

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/WU35ZKZIFLOHAJQ5JCWX4LLXD5 \
  | 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: b537dcab282adc70261d48ad7e2d771f714b0ba57c533e7b977b92f48ecb10ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b02a9b66dfbe541ab0738925227a785e66fbf0748b7ab2b5a0a3b4674fab2e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-12-12T22:23:34Z",
    "title_canon_sha256": "fafb436f71c15b777b1774f659a55c2fb06955092d603b4c324ce80461a20127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312270",
    "kind": "arxiv",
    "version": 1
  }
}