Pith Number

pith:LJDIPOPM

pith:2011:LJDIPOPMK35SRZTDJHPYSODSF5

not attested not anchored not stored refs pending

Prime-to-p \'etale covers of algebraic groups

Michel Brion, Tam\'as Szamuely

arxiv:1109.2802 v4 · 2011-09-13 · 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{LJDIPOPMK35SRZTDJHPYSODSF5}

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	2026-05-18T03:44:33.878129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4687b9ec56fb28e66349df8938722f7496571b10f35961e1b1dc101c776ac6

Aliases

arxiv: 1109.2802 · arxiv_version: 1109.2802v4 · doi: 10.48550/arxiv.1109.2802 · pith_short_12: LJDIPOPMK35S · pith_short_16: LJDIPOPMK35SRZTD · pith_short_8: LJDIPOPM

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/LJDIPOPMK35SRZTDJHPYSODSF5 \
  | 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: 5a4687b9ec56fb28e66349df8938722f7496571b10f35961e1b1dc101c776ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec49efe07e7fb295646142ccfb211a3c280f25c9511d385fd46ec57e9b52eca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-13T14:41:03Z",
    "title_canon_sha256": "62d5669b35b9e63f8211883b36bb6a28a14ce1dc11b503f450276300c7535f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2802",
    "kind": "arxiv",
    "version": 4
  }
}