Pith Number

pith:SO4VKWX6

pith:2011:SO4VKWX6AAUMY7R4PMSYYLGEZ6

not attested not anchored not stored refs pending

The Brauer group and the Brauer-Manin set of products of varieties

Alexei N. Skorobogatov, Yuri G. Zarhin

arxiv:1112.3089 v1 · 2011-12-14 · 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{SO4VKWX6AAUMY7R4PMSYYLGEZ6}

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	2026-05-18T04:06:20.220945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b9555afe0028cc7e3c7b258c2cc4cfb17ea2edfaf63599cbf06bc6dbbfe80e

Aliases

arxiv: 1112.3089 · arxiv_version: 1112.3089v1 · doi: 10.48550/arxiv.1112.3089 · pith_short_12: SO4VKWX6AAUM · pith_short_16: SO4VKWX6AAUMY7R4 · pith_short_8: SO4VKWX6

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/SO4VKWX6AAUMY7R4PMSYYLGEZ6 \
  | 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: 93b9555afe0028cc7e3c7b258c2cc4cfb17ea2edfaf63599cbf06bc6dbbfe80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99146c7af5e3cae1c607e4059d958f35512e0525834e2a84afeb0c620ac15248",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-14T01:10:40Z",
    "title_canon_sha256": "1bf455d91c36e92a777e29a30056af0faf4387fd42a6beb187627c3efc30c8e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3089",
    "kind": "arxiv",
    "version": 1
  }
}