Pith Number

pith:6W6BKJZN

pith:2011:6W6BKJZN4OP2PFISSZG3F7I4ET

not attested not anchored not stored refs pending

On the center of the ring of differential operators on a smooth variety over $\bZ/p^n\bZ$

Allen Stewart, Vadim Vologodsky

arxiv:1104.2858 v1 · 2011-04-14 · 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{6W6BKJZN4OP2PFISSZG3F7I4ET}

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	2026-05-17T23:53:19.404827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5bc15272de39fa79512964db2fd1c24c52006b4fa6dc5d0e66e2ca222619748

Aliases

arxiv: 1104.2858 · arxiv_version: 1104.2858v1 · doi: 10.48550/arxiv.1104.2858 · pith_short_12: 6W6BKJZN4OP2 · pith_short_16: 6W6BKJZN4OP2PFIS · pith_short_8: 6W6BKJZN

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/6W6BKJZN4OP2PFISSZG3F7I4ET \
  | 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: f5bc15272de39fa79512964db2fd1c24c52006b4fa6dc5d0e66e2ca222619748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d1af02235af029d67ce399f0c4f33445d6c8205d2eb63b66250a972aa58bbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-14T18:20:38Z",
    "title_canon_sha256": "ac78829298ad7e80c20e2fe36298b3f2ad23a8a3d906673117afd539bc38605d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2858",
    "kind": "arxiv",
    "version": 1
  }
}