Pith Number

pith:APJWXTIG

pith:2011:APJWXTIGXE7B4BXENDQ5VPC7JI

not attested not anchored not stored refs pending

The splitting of reductions of an abelian variety

David Zywina

arxiv:1111.0624 v1 · 2011-11-02 · 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{APJWXTIGXE7B4BXENDQ5VPC7JI}

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	2026-05-18T04:09:44.581983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d36bcd06b93e1e06e468e1dabc5f4a1d109866704067ccd332e8e489a7a1ee

Aliases

arxiv: 1111.0624 · arxiv_version: 1111.0624v1 · doi: 10.48550/arxiv.1111.0624 · pith_short_12: APJWXTIGXE7B · pith_short_16: APJWXTIGXE7B4BXE · pith_short_8: APJWXTIG

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/APJWXTIGXE7B4BXENDQ5VPC7JI \
  | 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: 03d36bcd06b93e1e06e468e1dabc5f4a1d109866704067ccd332e8e489a7a1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c35089fb447d2dd2418345080696c087f5108d3358942cfb50e4f56b2d1f34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-02T19:53:49Z",
    "title_canon_sha256": "c37dc9f108678262ea2789af3f6d1b2db6f556b24aea5af8807d6679f1ade0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0624",
    "kind": "arxiv",
    "version": 1
  }
}