Pith Number

pith:KCN4Y3ZT

pith:2019:KCN4Y3ZTFNQGX5GZTSRJJEMHMC

not attested not anchored not stored refs pending

Le cristal de Dieudonn\'e des sch\'emas en $\mathbb{F}$-vectoriels

Arnaud Vanhaecke

arxiv:1903.09968 v1 · 2019-03-24 · 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{KCN4Y3ZTFNQGX5GZTSRJJEMHMC}

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	2026-05-17T23:50:34.898297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb

Aliases

arxiv: 1903.09968 · arxiv_version: 1903.09968v1 · doi: 10.48550/arxiv.1903.09968 · pith_short_12: KCN4Y3ZTFNQG · pith_short_16: KCN4Y3ZTFNQGX5GZ · pith_short_8: KCN4Y3ZT

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/KCN4Y3ZTFNQGX5GZTSRJJEMHMC \
  | 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: 509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0348e8960801dff56c6d8780a375998bcaa9283c77e9067db5c44f915531aa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-24T11:03:55Z",
    "title_canon_sha256": "563cb462d7d9e746c202b4c44beb8bf12c8bc07bf903148ee57899af04d51c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09968",
    "kind": "arxiv",
    "version": 1
  }
}