Pith Number

pith:JR7RP72B

pith:2023:JR7RP72BN77LXLBBARZZFQ4RRE

not attested not anchored not stored refs pending

Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie

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

arxiv:2311.02437 v1 · 2023-11-04 · 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{JR7RP72BN77LXLBBARZZFQ4RRE}

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.

Cited by

1 paper in Pith

The period-index conjecture is false

Receipt and verification

First computed	2026-07-05T07:09:12.136950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7f17ff416ffebbac21047392c391890135c23b9ab4577624d615af603552c2

Aliases

arxiv: 2311.02437 · arxiv_version: 2311.02437v1 · doi: 10.48550/arxiv.2311.02437 · pith_short_12: JR7RP72BN77L · pith_short_16: JR7RP72BN77LXLBB · pith_short_8: JR7RP72B

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/JR7RP72BN77LXLBBARZZFQ4RRE \
  | 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: 4c7f17ff416ffebbac21047392c391890135c23b9ab4577624d615af603552c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c630d5b466b39531e59e21df444f99d8c30c2971c2f49334362012e38265bb4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-04T15:33:39Z",
    "title_canon_sha256": "72b53c163c266adba3e11b2a3f15cc68291f8d572ec1b9b930ce576cea3689ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.02437",
    "kind": "arxiv",
    "version": 1
  }
}