Pith Number

pith:WRYVFIKE

pith:2026:WRYVFIKEX72YK36CYR6ZGGEVSK

not attested not anchored not stored refs pending

Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces

Paul J. Truman

arxiv:2606.18414 v1 · 2026-06-16 · 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{WRYVFIKEX72YK36CYR6ZGGEVSK}

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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

1 paper in Pith

On finite trifactorised groups and Sylow and Hall theorems for skew braces

Receipt and verification

First computed	2026-06-19T16:11:00.710234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47152a144bff5856fc2c47d93189592a05e936d3be1d2e6e25d807fe331f2c1

Aliases

arxiv: 2606.18414 · arxiv_version: 2606.18414v1 · doi: 10.48550/arxiv.2606.18414 · pith_short_12: WRYVFIKEX72Y · pith_short_16: WRYVFIKEX72YK36C · pith_short_8: WRYVFIKE

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/WRYVFIKEX72YK36CYR6ZGGEVSK \
  | 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: b47152a144bff5856fc2c47d93189592a05e936d3be1d2e6e25d807fe331f2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95edac7253ee2f833522fad94400960bfc61079a51233921c53fbc2a5ea76625",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-16T19:09:43Z",
    "title_canon_sha256": "4021f28708237f5cdf3471def7b643225c8892b24c94a892ac6266e1f8a22b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18414",
    "kind": "arxiv",
    "version": 1
  }
}