Pith Number

pith:R37XHMNT

pith:2025:R37XHMNT6CIXYRRCCGJV4QWYI4

not attested not anchored not stored refs pending

Sharp character bounds and cutoff for symmetric groups

Lucas Teyssier, Paul Th\'evenin, Sam Olesker-Taylor

arxiv:2503.12735 v2 · 2025-03-17 · math.RT · math.CO · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R37XHMNT6CIXYRRCCGJV4QWYI4}

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

3 papers in Pith

Cutoff profiles for conjugacy invariant random walks on symmetric groups

Brownian motion on reflection quantum groups. Construction and cutoff

The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters

Receipt and verification

First computed	2026-07-05T11:47:20.383025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eff73b1b3f0917c462211935e42d8471cd08e8f0a8a74e4b7576b85072ec5bd

Aliases

arxiv: 2503.12735 · arxiv_version: 2503.12735v2 · doi: 10.48550/arxiv.2503.12735 · pith_short_12: R37XHMNT6CIX · pith_short_16: R37XHMNT6CIXYRRC · pith_short_8: R37XHMNT

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/R37XHMNT6CIXYRRCCGJV4QWYI4 \
  | 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: 8eff73b1b3f0917c462211935e42d8471cd08e8f0a8a74e4b7576b85072ec5bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c08ce31aeadfb8f2953d2c072a8596c25e4b3947ff946486c18e9a4f4656347",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-03-17T02:01:45Z",
    "title_canon_sha256": "b9f7ff3d2c04a703f4b2c0c7705588ab5ec4aefd9a3daaecd9a451c02cee48ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.12735",
    "kind": "arxiv",
    "version": 2
  }
}