Pith Number

pith:2QGG2R7Y

pith:2025:2QGG2R7Y5734WJNTC7GCENI6DH

not attested not anchored not stored refs pending

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Benjamin Sambale, Eugenio Giannelli, Gabriel Navarro, Hunter Spink, Persi Diaconis, Robert M. Guralnick, Stacey Law

arxiv:2504.01149 v1 · 2025-04-01 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QGG2R7Y5734WJNTC7GCENI6DH}

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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	2026-07-05T10:43:09.954848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40c6d47f8eff7cb25b317cc22351e19f27a8b3979fdc7f175b0b0a367a5eac5

Aliases

arxiv: 2504.01149 · arxiv_version: 2504.01149v1 · doi: 10.48550/arxiv.2504.01149 · pith_short_12: 2QGG2R7Y5734 · pith_short_16: 2QGG2R7Y5734WJNT · pith_short_8: 2QGG2R7Y

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/2QGG2R7Y5734WJNTC7GCENI6DH \
  | 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: d40c6d47f8eff7cb25b317cc22351e19f27a8b3979fdc7f175b0b0a367a5eac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ad17e6584df79dcb7028d6ca1c8a81144a10a17d622f1bd16b804fc17785f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-04-01T19:33:00Z",
    "title_canon_sha256": "7a99fb2c64de0749357e465e4ca139356ea17ed5fa0416b59d127795439eeede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.01149",
    "kind": "arxiv",
    "version": 1
  }
}