Pith Number

pith:2SER3CRO

pith:2026:2SER3CRONVSKVE2FTVGE27N726

not attested not anchored not stored refs pending

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

A. Ballester-Bolinches, P. P\'erez-Altarriba, V. P\'erez-Calabuig

arxiv:2606.24977 v1 · 2026-06-23 · 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{2SER3CRONVSKVE2FTVGE27N726}

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	2026-06-25T00:17:47.326695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4891d8a2e6d64aa93459d4c4d7dbfd7acbc09369a4c3bb282ec6bc2aa11c36e

Aliases

arxiv: 2606.24977 · arxiv_version: 2606.24977v1 · doi: 10.48550/arxiv.2606.24977 · pith_short_12: 2SER3CRONVSK · pith_short_16: 2SER3CRONVSKVE2F · pith_short_8: 2SER3CRO

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/2SER3CRONVSKVE2FTVGE27N726 \
  | 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: d4891d8a2e6d64aa93459d4c4d7dbfd7acbc09369a4c3bb282ec6bc2aa11c36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafc773b65827c5946dd61e6f79baea8b7226179e65ccb7fffa7daa8332def70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-23T12:21:43Z",
    "title_canon_sha256": "c09efdf6e676be03c94f801520cbfa25b575cf5800bca12ad9384574ee964178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24977",
    "kind": "arxiv",
    "version": 1
  }
}