Pith Number

pith:CMLHFZ5H

pith:2014:CMLHFZ5HUDGJBCIVLQ262R5ZPN

not attested not anchored not stored refs pending

Non-isomorphic Hopf-Galois structures with isomorphic underlying Hopf algebras

Anna Rio, Montserrat Vela, Teresa Crespo

arxiv:1406.5054 v1 · 2014-06-19 · 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{CMLHFZ5HUDGJBCIVLQ262R5ZPN}

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	2026-05-18T00:46:21.374970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5

Aliases

arxiv: 1406.5054 · arxiv_version: 1406.5054v1 · doi: 10.48550/arxiv.1406.5054 · pith_short_12: CMLHFZ5HUDGJ · pith_short_16: CMLHFZ5HUDGJBCIV · pith_short_8: CMLHFZ5H

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/CMLHFZ5HUDGJBCIVLQ262R5ZPN \
  | 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: 131672e7a7a0cc9089155c35ed47b97b52bb19c4d66e79858bd1563b884288c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b9d44db30c984e722151b15dcc18c66ff323c67abc945e005957a9bdde2246",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-19T14:14:02Z",
    "title_canon_sha256": "2f10af9b930fe0d7d01b08d99bda0ae25ff94aac092f4ddf17cbaf728ec926ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5054",
    "kind": "arxiv",
    "version": 1
  }
}