Pith Number

pith:CUAJUPVF

pith:2018:CUAJUPVF3PEG234ZQ4JJLL2J6A

not attested not anchored not stored refs pending

Divided Dieudonn\'e crystals

Eike Lau

arxiv:1811.09439 v1 · 2018-11-23 · 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{CUAJUPVF3PEG234ZQ4JJLL2J6A}

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.

Cited by

1 paper in Pith

An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Receipt and verification

First computed	2026-05-18T00:00:03.422480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15009a3ea5dbc86d6f99871295af49f0332ea4e602d17228fb17d399fb3f0f77

Aliases

arxiv: 1811.09439 · arxiv_version: 1811.09439v1 · doi: 10.48550/arxiv.1811.09439 · pith_short_12: CUAJUPVF3PEG · pith_short_16: CUAJUPVF3PEG234Z · pith_short_8: CUAJUPVF

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/CUAJUPVF3PEG234ZQ4JJLL2J6A \
  | 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: 15009a3ea5dbc86d6f99871295af49f0332ea4e602d17228fb17d399fb3f0f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4532e124b7188273902adb6166c17ce1f5716a64719bd3479fcc1c6f7fe0be06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-23T11:49:46Z",
    "title_canon_sha256": "f82dd3de5db282380a7803ee00b4c0b86f129f744ef3a7cfee5355f3991550b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09439",
    "kind": "arxiv",
    "version": 1
  }
}