Pith Number

pith:SKB7RZVN

pith:2026:SKB7RZVNG6NNCGYLUD5MPZCPEE

not attested not anchored not stored refs pending

Average divisibility in character tables of $\mathrm{GL}_2(\mathbb{F}_q)$

Anwesh Ray, Mishty Ray

arxiv:2606.28085 v1 · 2026-06-26 · math.RT · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKB7RZVNG6NNCGYLUD5MPZCPEE}

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	2026-06-29T01:14:57.526016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9283f8e6ad379ad11b0ba0fac7e44f211746cf49c75878d6facd977fb9707a6b

Aliases

arxiv: 2606.28085 · arxiv_version: 2606.28085v1 · doi: 10.48550/arxiv.2606.28085 · pith_short_12: SKB7RZVNG6NN · pith_short_16: SKB7RZVNG6NNCGYL · pith_short_8: SKB7RZVN

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/SKB7RZVNG6NNCGYLUD5MPZCPEE \
  | 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: 9283f8e6ad379ad11b0ba0fac7e44f211746cf49c75878d6facd977fb9707a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a0e60d2749430004929190f3ed07986df10b40da3011f507c883a81fdc33d2",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-26T13:47:45Z",
    "title_canon_sha256": "f2e5f8a26ed90312d2a35648f8fe247729c4cfb3289681966b97df9b291c12c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28085",
    "kind": "arxiv",
    "version": 1
  }
}