Pith Number

pith:HZKHI2SS

pith:2011:HZKHI2SSSMLAKQFXJEMMCMQ6TB

not attested not anchored not stored refs pending

Quelques cas d'annulation du troisi\`eme groupe de cohomologie non ramifi\'ee

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

arxiv:1110.1389 v1 · 2011-10-06 · math.AG · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZKHI2SSSMLAKQFXJEMMCMQ6TB}

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	2026-05-18T04:11:30.204871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e54746a5293160540b74918c1321e98619ab0158a660645fe72419cc4ff6092

Aliases

arxiv: 1110.1389 · arxiv_version: 1110.1389v1 · doi: 10.48550/arxiv.1110.1389 · pith_short_12: HZKHI2SSSMLA · pith_short_16: HZKHI2SSSMLAKQFX · pith_short_8: HZKHI2SS

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/HZKHI2SSSMLAKQFXJEMMCMQ6TB \
  | 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: 3e54746a5293160540b74918c1321e98619ab0158a660645fe72419cc4ff6092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fcf89bfc8421e548b8411fa1927a9cb76f534c4e20f6aaf0e795bda553f8af1",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-06T20:33:29Z",
    "title_canon_sha256": "7bb90ab7c8378078e2514cef3ec36330e313e18060443340449541a40b75c93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1389",
    "kind": "arxiv",
    "version": 1
  }
}