Pith Number

pith:UQNLAZSV

pith:2008:UQNLAZSVB6TNDH2WFP6M36WZ6A

not attested not anchored not stored refs pending

Extensions of the Frobenius to ring of differential operators on polynomial algebra in prime characteristic

V. V. Bavula

arxiv:0804.1091 v2 · 2008-04-07 · math.RA · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQNLAZSVB6TNDH2WFP6M36WZ6A}

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	2026-05-18T02:24:57.474147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41ab066550fa6d19f562bfccdfad9f0224865e580cb24cfb12da7c521c7023a

Aliases

arxiv: 0804.1091 · arxiv_version: 0804.1091v2 · doi: 10.48550/arxiv.0804.1091 · pith_short_12: UQNLAZSVB6TN · pith_short_16: UQNLAZSVB6TNDH2W · pith_short_8: UQNLAZSV

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/UQNLAZSVB6TNDH2WFP6M36WZ6A \
  | 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: a41ab066550fa6d19f562bfccdfad9f0224865e580cb24cfb12da7c521c7023a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9008e9be766915bcc36503b08a1293f34ca5206cc04ca71a46c0824711165e",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-04-07T17:39:05Z",
    "title_canon_sha256": "384acc560fc2073785129d07ac8ccfe3c38d6beacc0aa07e33225ce22efa5c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1091",
    "kind": "arxiv",
    "version": 2
  }
}