Pith Number

pith:IZ6KYINQ

pith:2016:IZ6KYINQA3FZ6N3CU26GUW2WNC

not attested not anchored not stored refs pending

Effective bounds for Brauer groups of Kummer surfaces over number fields

Erik Visse, Sho Tanimoto, Victoria Cantoral-Farf\'an, Yunqing Tang

arxiv:1606.06074 v3 · 2016-06-20 · 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{IZ6KYINQA3FZ6N3CU26GUW2WNC}

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	2026-05-18T00:19:31.193490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467cac21b006cb9f3762a6bc6a5b5668a8e48564af8df3779b538496fab30539

Aliases

arxiv: 1606.06074 · arxiv_version: 1606.06074v3 · doi: 10.48550/arxiv.1606.06074 · pith_short_12: IZ6KYINQA3FZ · pith_short_16: IZ6KYINQA3FZ6N3C · pith_short_8: IZ6KYINQ

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/IZ6KYINQA3FZ6N3CU26GUW2WNC \
  | 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: 467cac21b006cb9f3762a6bc6a5b5668a8e48564af8df3779b538496fab30539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a79aae3b38eb73446ff12d24374a4bba60b9a275a4d039d98b8e937d3b6d469",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-20T12:01:07Z",
    "title_canon_sha256": "81bafa86638722c80bce5d8da5c759a37dbe7c9e27de6a7bea72ee653b3c5ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06074",
    "kind": "arxiv",
    "version": 3
  }
}