Pith Number

pith:6SQ7NZOB

pith:2011:6SQ7NZOBYIGWJYRFXUT7XQACEC

not attested not anchored not stored refs pending

Sphericity and multiplication of double cosets for infinite-dimensional classical groups

Yury A. Neretin

arxiv:1101.4759 v1 · 2011-01-25 · 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{6SQ7NZOBYIGWJYRFXUT7XQACEC}

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	2026-05-18T03:40:03.482013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4a1f6e5c1c20d64e225bd27fbc00220b6a949d0fd3eda6938bf429752b7a4b7

Aliases

arxiv: 1101.4759 · arxiv_version: 1101.4759v1 · doi: 10.48550/arxiv.1101.4759 · pith_short_12: 6SQ7NZOBYIGW · pith_short_16: 6SQ7NZOBYIGWJYRF · pith_short_8: 6SQ7NZOB

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/6SQ7NZOBYIGWJYRFXUT7XQACEC \
  | 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: f4a1f6e5c1c20d64e225bd27fbc00220b6a949d0fd3eda6938bf429752b7a4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd07952c4f19994897617d53e7aa781d57290172f5b064f67b142e447f9125f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-25T09:56:19Z",
    "title_canon_sha256": "2071ea2b6b511acf8b685df753c0114ce2bfffcc193f7a5c5b80de7870f0a358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4759",
    "kind": "arxiv",
    "version": 1
  }
}