Pith Number

pith:XCEKSPN3

pith:2013:XCEKSPN3ST2WID2TXP5BU6BHX2

not attested not anchored not stored refs pending

Le groupe de Brauer non ramifi\'e sur un corps global de caract\'eristique positive (The unramified Brauer group over a global field of positive characteristic)

Giancarlo Lucchini Arteche

arxiv:1303.5221 v2 · 2013-03-21 · 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{XCEKSPN3ST2WID2TXP5BU6BHX2}

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	2026-05-18T00:36:04.318470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b888a93dbb94f5640f53bbfa1a7827be907ec3f0f7db502ad4ddad0204123559

Aliases

arxiv: 1303.5221 · arxiv_version: 1303.5221v2 · doi: 10.48550/arxiv.1303.5221 · pith_short_12: XCEKSPN3ST2W · pith_short_16: XCEKSPN3ST2WID2T · pith_short_8: XCEKSPN3

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/XCEKSPN3ST2WID2TXP5BU6BHX2 \
  | 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: b888a93dbb94f5640f53bbfa1a7827be907ec3f0f7db502ad4ddad0204123559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9840873cabdf08eac32277b24c12896255976b92d874153b7de37d9cfd75e47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-21T10:34:23Z",
    "title_canon_sha256": "1e409868ba2f7761d131b79ed3137d279c6b45835628ed909c35ff8682da6d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5221",
    "kind": "arxiv",
    "version": 2
  }
}