Pith Number

pith:X3DTZSLB

pith:2026:X3DTZSLBSTBIWURMLKDZQVTRH2

not attested not anchored not stored refs pending

Degrees of $p$-rational characters and normality of Sylow $p$-subgroups

Pham Huu Tiep, Silvio Dolfi, Yu Zeng

arxiv:2607.01706 v1 · 2026-07-02 · math.GR · 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{X3DTZSLBSTBIWURMLKDZQVTRH2}

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	2026-07-03T01:17:27.286445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec73cc96194c28b522c5a879856713eaf66f4ffbf24cec7020e09e6403cd42d

Aliases

arxiv: 2607.01706 · arxiv_version: 2607.01706v1 · doi: 10.48550/arxiv.2607.01706 · pith_short_12: X3DTZSLBSTBI · pith_short_16: X3DTZSLBSTBIWURM · pith_short_8: X3DTZSLB

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/X3DTZSLBSTBIWURMLKDZQVTRH2 \
  | 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: bec73cc96194c28b522c5a879856713eaf66f4ffbf24cec7020e09e6403cd42d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbdf73704279ef98fcda270e8fd930e1a5810fc8f9ec4cc7fe812dec7a84deb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-02T04:58:17Z",
    "title_canon_sha256": "1e052b2cb72ea3f8e6d0c5eb423b76b615a8d2431e826202f9e4e12278abf2dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01706",
    "kind": "arxiv",
    "version": 1
  }
}