Pith Number

pith:KNJ6EGW7

pith:2012:KNJ6EGW7KPRLQUXFDK5KGRMPFS

not attested not anchored not stored refs pending

Groupe de Brauer non ramifi\'e de quotients par un groupe fini

Jean-Louis Colliot-Th\'el\`ene

arxiv:1201.1815 v1 · 2012-01-09 · math.AG · 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{KNJ6EGW7KPRLQUXFDK5KGRMPFS}

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	2026-05-18T04:04:55.682651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5353e21adf53e2b852e51abaa3458f2c9d8effdbfd0cf7e8c109b9c75f42b54e

Aliases

arxiv: 1201.1815 · arxiv_version: 1201.1815v1 · doi: 10.48550/arxiv.1201.1815 · pith_short_12: KNJ6EGW7KPRL · pith_short_16: KNJ6EGW7KPRLQUXF · pith_short_8: KNJ6EGW7

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/KNJ6EGW7KPRLQUXFDK5KGRMPFS \
  | 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: 5353e21adf53e2b852e51abaa3458f2c9d8effdbfd0cf7e8c109b9c75f42b54e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20fdfb529b8ebb3bfe03ee2ec7a195b9b9daf244cb82e295826a668a31007cfd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-09T16:05:02Z",
    "title_canon_sha256": "d01f1e91ade2ab744cbcb79e5b8110227bcb1acd5e61a46fd6ce4806a2285890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1815",
    "kind": "arxiv",
    "version": 1
  }
}