Pith Number

pith:6FPZTYEQ

pith:2009:6FPZTYEQ35JHWBFMZCR62DLLL6

not attested not anchored not stored refs pending

Galois Theory of Hopf Galois Extensions

Dorota Marciniak, Marcin Szamotulski

arxiv:0912.0291 v4 · 2009-12-01 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FPZTYEQ35JHWBFMZCR62DLLL6}

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	2026-05-18T04:20:38.820169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15f99e090df527b04acc8a3ed0d6b5f88c09d4ddc78f38eb45045ffb9de171d

Aliases

arxiv: 0912.0291 · arxiv_version: 0912.0291v4 · doi: 10.48550/arxiv.0912.0291 · pith_short_12: 6FPZTYEQ35JH · pith_short_16: 6FPZTYEQ35JHWBFM · pith_short_8: 6FPZTYEQ

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/6FPZTYEQ35JHWBFMZCR62DLLL6 \
  | 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: f15f99e090df527b04acc8a3ed0d6b5f88c09d4ddc78f38eb45045ffb9de171d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6465964225cf4afdf22d3273b6e958a71509e5f8d1ff424efbb0c310bd80570",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-12-01T22:46:53Z",
    "title_canon_sha256": "e22e672e0ad019414643df3c40964910c3ef37e95da287fbdb348a96ac171033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0291",
    "kind": "arxiv",
    "version": 4
  }
}