Pith Number

pith:J3JBENRF

pith:2018:J3JBENRFFUYJNDXF6MAJSWSBHQ

not attested not anchored not stored refs pending

On the Picard numbers of abelian varieties in positive characteristic

Roberto Laface

arxiv:1803.08704 v1 · 2018-03-23 · 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{J3JBENRFFUYJNDXF6MAJSWSBHQ}

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	2026-05-18T00:20:18.765755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed21236252d30968ee5f300995a413c16a9f95d107bc78ec8fc58b14b237863

Aliases

arxiv: 1803.08704 · arxiv_version: 1803.08704v1 · doi: 10.48550/arxiv.1803.08704 · pith_short_12: J3JBENRFFUYJ · pith_short_16: J3JBENRFFUYJNDXF · pith_short_8: J3JBENRF

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/J3JBENRFFUYJNDXF6MAJSWSBHQ \
  | 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: 4ed21236252d30968ee5f300995a413c16a9f95d107bc78ec8fc58b14b237863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab84aba6336d2b5a854296cfd7e9898fe9628d7e24824188779721a995e996c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-23T09:25:08Z",
    "title_canon_sha256": "3e901b04b8abe5dee9035b26fb00ee24ed940610eb18005c103c93ce1a0ada7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08704",
    "kind": "arxiv",
    "version": 1
  }
}