Pith Number

pith:64OIYBMF

pith:2024:64OIYBMFFVLKWGCTJDAM2XTRIJ

not attested not anchored not stored refs pending

Sylow branching trees for symmetric groups

Eugenio Giannelli, Stacey Law

arxiv:2409.07575 v2 · 2024-09-11 · 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{64OIYBMFFVLKWGCTJDAM2XTRIJ}

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	2026-07-05T10:22:49.700326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71c8c05852d56ab185348c0cd5e714267f643557cf745ea3881e4ac1c963c36

Aliases

arxiv: 2409.07575 · arxiv_version: 2409.07575v2 · doi: 10.48550/arxiv.2409.07575 · pith_short_12: 64OIYBMFFVLK · pith_short_16: 64OIYBMFFVLKWGCT · pith_short_8: 64OIYBMF

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/64OIYBMFFVLKWGCTJDAM2XTRIJ \
  | 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: f71c8c05852d56ab185348c0cd5e714267f643557cf745ea3881e4ac1c963c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3082a5363158858889237dc397fe4102c64795bb651a75e5754c346bfb7c4e7e",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-09-11T19:05:05Z",
    "title_canon_sha256": "a64b71223c3ab19ca77cef3a80fb15cd6b2203184fa1aa5f8087a32378c2e221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07575",
    "kind": "arxiv",
    "version": 2
  }
}