Pith Number

pith:AYRANK6P

pith:2025:AYRANK6PZBUTMLT46GKYNW3DEJ

not attested not anchored not stored refs pending

On some semidirect products of skew braces arising in Hopf-Galois theory

Paul J. Truman

arxiv:2506.04928 v1 · 2025-06-05 · math.GR · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYRANK6PZBUTMLT46GKYNW3DEJ}

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	2026-07-05T11:16:39.228050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062206abcfc869362e7cf19586db6322675f9c887aea3fbd70cc9d93f90f13f9

Aliases

arxiv: 2506.04928 · arxiv_version: 2506.04928v1 · doi: 10.48550/arxiv.2506.04928 · pith_short_12: AYRANK6PZBUT · pith_short_16: AYRANK6PZBUTMLT4 · pith_short_8: AYRANK6P

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/AYRANK6PZBUTMLT46GKYNW3DEJ \
  | 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: 062206abcfc869362e7cf19586db6322675f9c887aea3fbd70cc9d93f90f13f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c97fd93f65140564501fa837795101f4aa1d5c3e0641c922313dce24882cf9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-06-05T12:01:51Z",
    "title_canon_sha256": "b6b99ae857eed280938303e7a22fed9107a0380079ad05a245d51f8c40209c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04928",
    "kind": "arxiv",
    "version": 1
  }
}