Pith Number

pith:DPYC7WXA

pith:2009:DPYC7WXAYWKPXIDNBFB766ONIJ

not attested not anchored not stored refs pending

Flatness and freeness properties of the generic Hopf Galois extensions

Akira Masuoka, Christian Kassel

arxiv:0911.3719 v3 · 2009-11-19 · math.QA · 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{DPYC7WXAYWKPXIDNBFB766ONIJ}

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	2026-05-18T03:58:12.771112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf02fdae0c594fba06d0943ff79cd427852885a8195095f51f7fe417762873e

Aliases

arxiv: 0911.3719 · arxiv_version: 0911.3719v3 · doi: 10.48550/arxiv.0911.3719 · pith_short_12: DPYC7WXAYWKP · pith_short_16: DPYC7WXAYWKPXIDN · pith_short_8: DPYC7WXA

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/DPYC7WXAYWKPXIDNBFB766ONIJ \
  | 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: 1bf02fdae0c594fba06d0943ff79cd427852885a8195095f51f7fe417762873e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b13286117f9c461913819a2082cd732a1dbdf9bc557b277c052f16e574f58e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-11-19T08:07:04Z",
    "title_canon_sha256": "311a2e362a1c51549b864b137fe99a81e3d4bda973ab041daa8286438a848ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3719",
    "kind": "arxiv",
    "version": 3
  }
}