Pith Number

pith:3VXBFLB5

pith:2012:3VXBFLB5N5B7WKP2AHQ46Y4XZD

not attested not anchored not stored refs pending

Nilpotent and abelian Hopf-Galois structures on field extensions

Nigel P. Byott

arxiv:1210.1693 v1 · 2012-10-05 · 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{3VXBFLB5N5B7WKP2AHQ46Y4XZD}

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	2026-05-18T03:43:53.581668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6e12ac3d6f43fb29fa01e1cf6397c8d1f33ee95db0b0f06652a6fa15ce0c0c

Aliases

arxiv: 1210.1693 · arxiv_version: 1210.1693v1 · doi: 10.48550/arxiv.1210.1693 · pith_short_12: 3VXBFLB5N5B7 · pith_short_16: 3VXBFLB5N5B7WKP2 · pith_short_8: 3VXBFLB5

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/3VXBFLB5N5B7WKP2AHQ46Y4XZD \
  | 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: dd6e12ac3d6f43fb29fa01e1cf6397c8d1f33ee95db0b0f06652a6fa15ce0c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4631683068edd8cdc74ce4a13f797a58ea8075e3e930ee98c97491dea7d4c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-05T09:58:03Z",
    "title_canon_sha256": "33939e0bc13c31600dd4a919176eccfd04f757233bb2d88009af3493ef999173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1693",
    "kind": "arxiv",
    "version": 1
  }
}