Pith Number

pith:4ZBJ5S4Z

pith:2012:4ZBJ5S4ZOUAIRD3GPRUJJUFTRM

not attested not anchored not stored refs pending

Moduli of p-divisible groups

Jared Weinstein, Peter Scholze

arxiv:1211.6357 v2 · 2012-11-27 · math.NT · 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{4ZBJ5S4ZOUAIRD3GPRUJJUFTRM}

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	2026-05-18T03:28:05.321651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6429ecb997500888f667c6894d0b38b090875beba2dc63bdd97e2e694bfe942

Aliases

arxiv: 1211.6357 · arxiv_version: 1211.6357v2 · doi: 10.48550/arxiv.1211.6357 · pith_short_12: 4ZBJ5S4ZOUAI · pith_short_16: 4ZBJ5S4ZOUAIRD3G · pith_short_8: 4ZBJ5S4Z

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/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM \
  | 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: e6429ecb997500888f667c6894d0b38b090875beba2dc63bdd97e2e694bfe942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96e275e3a53f97e48409b436371477ad33814092db2c225c3953fbb99f5591e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-27T16:48:21Z",
    "title_canon_sha256": "adeffd8740e5510a3ff5d1a17f9e0a4fc8f27e97c69fef82a07e60642dd902b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6357",
    "kind": "arxiv",
    "version": 2
  }
}