Pith Number

pith:ZMMXEAO2

pith:2026:ZMMXEAO2J4IHQ7T6CBRFH4RKKJ

not attested not anchored not stored refs pending

Simple Skew Braces with Cyclic Sylow Subgroups

Marco Damele

arxiv:2607.17125 v1 · 2026-07-19 · 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{ZMMXEAO2J4IHQ7T6CBRFH4RKKJ}

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	2026-07-21T01:21:16.929468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb197201da4f10787e7e106253f22a526f1cdb39496b505745091d1244fbd486

Aliases

arxiv: 2607.17125 · arxiv_version: 2607.17125v1 · doi: 10.48550/arxiv.2607.17125 · pith_short_12: ZMMXEAO2J4IH · pith_short_16: ZMMXEAO2J4IHQ7T6 · pith_short_8: ZMMXEAO2

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/ZMMXEAO2J4IHQ7T6CBRFH4RKKJ \
  | 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: cb197201da4f10787e7e106253f22a526f1cdb39496b505745091d1244fbd486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc4119cf53a313276afbe5017ff1df99bb8afd8502d79cd276235e1f1d8a2b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-19T08:24:06Z",
    "title_canon_sha256": "434cb8a5f7982277b8c5e75de1961913f182cadbd83012b54487914d8d820628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17125",
    "kind": "arxiv",
    "version": 1
  }
}