Pith Number

pith:6HZZ76UH

pith:2026:6HZZ76UHI735LLTZSOYYFCB72C

not attested not anchored not stored refs pending

Part bounds for the Sylow permutation characters of $S_n$

Lorenzo Vanzi

arxiv:2607.02433 v1 · 2026-07-02 · math.RT · math.CO · 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{6HZZ76UHI735LLTZSOYYFCB72C}

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	2026-07-03T01:17:59.147807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f39ffa8747f7d5ae7993b182883fd08fe76d2b29ba2544877cae009b1710d3

Aliases

arxiv: 2607.02433 · arxiv_version: 2607.02433v1 · doi: 10.48550/arxiv.2607.02433 · pith_short_12: 6HZZ76UHI735 · pith_short_16: 6HZZ76UHI735LLTZ · pith_short_8: 6HZZ76UH

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/6HZZ76UHI735LLTZSOYYFCB72C \
  | 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: f1f39ffa8747f7d5ae7993b182883fd08fe76d2b29ba2544877cae009b1710d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2317d91ef10dc733d95beafeffea7fb874f31545ca8881e5d1e5fcfd50f88c93",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-02T17:03:27Z",
    "title_canon_sha256": "7a6f7270320388a09fa38582ff136f07db965e2415a84df76f160d3e64ff499c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02433",
    "kind": "arxiv",
    "version": 1
  }
}