Pith Number

pith:BIAMM255

pith:2009:BIAMM2557HZLV57JJY5FSO3YXA

not attested not anchored not stored refs pending

Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines

Jean-Louis Colliot-Th\'el\`ene, Olivier Wittenberg

arxiv:0911.3539 v3 · 2009-11-18 · math.NT · 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{BIAMM2557HZLV57JJY5FSO3YXA}

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	2026-05-18T01:18:15.584517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a00c66bbdf9f2baf7e94e3a593b78b811b0f21b2b7606400cb52acafae496fb

Aliases

arxiv: 0911.3539 · arxiv_version: 0911.3539v3 · doi: 10.48550/arxiv.0911.3539 · pith_short_12: BIAMM2557HZL · pith_short_16: BIAMM2557HZLV57J · pith_short_8: BIAMM255

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/BIAMM2557HZLV57JJY5FSO3YXA \
  | 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: 0a00c66bbdf9f2baf7e94e3a593b78b811b0f21b2b7606400cb52acafae496fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf858f5f4ab3366d7f2efed62fb970ccd47156f05560e36109c810ed8d2aa21",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-18T13:36:30Z",
    "title_canon_sha256": "c8b3eb518632adc43fe4fe657f07b33cdcb87101f17ff4f41b2c1f95189d6212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3539",
    "kind": "arxiv",
    "version": 3
  }
}