Pith Number

pith:GKQPVI2Z

pith:2012:GKQPVI2ZTVEXW7KDV3ZQURD6PI

not attested not anchored not stored refs pending

On a theorem of Kisin

Alexander Beilinson, Floric Tavares Ribeiro

arxiv:1205.2913 v2 · 2012-05-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKQPVI2ZTVEXW7KDV3ZQURD6PI}

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	2026-05-18T03:55:13.641183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a0faa3599d497b7d43aef30a447e7a3ed9ae7a68d36f5574325dc52c1416f9

Aliases

arxiv: 1205.2913 · arxiv_version: 1205.2913v2 · doi: 10.48550/arxiv.1205.2913 · pith_short_12: GKQPVI2ZTVEX · pith_short_16: GKQPVI2ZTVEXW7KD · pith_short_8: GKQPVI2Z

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/GKQPVI2ZTVEXW7KDV3ZQURD6PI \
  | 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: 32a0faa3599d497b7d43aef30a447e7a3ed9ae7a68d36f5574325dc52c1416f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef48d37e37fca6e7a4d50a36a84f8903a9965d62c3fcb1063da753f18ee1b8dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-13T23:14:35Z",
    "title_canon_sha256": "105f23409b9efae04b41a7ce85a90f14c0d88053f3c046202469c9e0b48d3d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2913",
    "kind": "arxiv",
    "version": 2
  }
}