Pith Number

pith:MRJCF5ZI

pith:2011:MRJCF5ZIXKSIEYWIX4ZGUN7WF3

not attested not anchored not stored refs pending

Sur le groupe de Brauer transcendant

Alexei N. Skorobogatov, Jean-Louis Colliot-Th\'el\`ene

arxiv:1106.6312 v2 · 2011-06-30 · 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{MRJCF5ZIXKSIEYWIX4ZGUN7WF3}

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	2026-05-18T04:13:38.853443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645222f728baa48262c8bf326a37f62ee575bfa55dd1065758520597085afa46

Aliases

arxiv: 1106.6312 · arxiv_version: 1106.6312v2 · doi: 10.48550/arxiv.1106.6312 · pith_short_12: MRJCF5ZIXKSI · pith_short_16: MRJCF5ZIXKSIEYWI · pith_short_8: MRJCF5ZI

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/MRJCF5ZIXKSIEYWIX4ZGUN7WF3 \
  | 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: 645222f728baa48262c8bf326a37f62ee575bfa55dd1065758520597085afa46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca1a007913e55428c618d79502fdff13dcf47620bdfff730497b911a5ebc697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-30T17:31:15Z",
    "title_canon_sha256": "430ea2e29787da8d17506001ac2ef71e18ba58bbd109e28a2454e940d2ca05b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6312",
    "kind": "arxiv",
    "version": 2
  }
}