Pith Number

pith:53UZR557

pith:2016:53UZR557Q6NJVAW556BMDMO5YH

not attested not anchored not stored refs pending

Kummer varieties and their Brauer groups

Alexei N. Skorobogatov, Yuri G. Zarhin

arxiv:1612.05993 v3 · 2016-12-18 · 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{53UZR557Q6NJVAW556BMDMO5YH}

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	2026-05-18T00:30:22.444431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee998f7bf879a9a82ddef82c1b1ddc1c13b12ca3b16e91275ee0d291147a71c

Aliases

arxiv: 1612.05993 · arxiv_version: 1612.05993v3 · doi: 10.48550/arxiv.1612.05993 · pith_short_12: 53UZR557Q6NJ · pith_short_16: 53UZR557Q6NJVAW5 · pith_short_8: 53UZR557

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/53UZR557Q6NJVAW556BMDMO5YH \
  | 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: eee998f7bf879a9a82ddef82c1b1ddc1c13b12ca3b16e91275ee0d291147a71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e57c066aa56b2943db810bb4ebc67d3a09b35535348960aca4d6e14ebc576e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-18T21:18:34Z",
    "title_canon_sha256": "399e77816c145680c30931af4b7228571c99178fb37c73ad9daa932a19d7ce40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05993",
    "kind": "arxiv",
    "version": 3
  }
}