Pith Number

pith:4QBD24WY

pith:2013:4QBD24WYCYE3FOJMYRLOF7LQ3B

not attested not anchored not stored refs pending

The prime divisors of the number of points on abelian varieties

Antonella Perucca

arxiv:1310.1007 v2 · 2013-10-03 · 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{4QBD24WYCYE3FOJMYRLOF7LQ3B}

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	2026-05-18T01:31:11.988121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4023d72d81609b2b92cc456e2fd70d856e5bd7eeed9348d2de024cfb985d9b3

Aliases

arxiv: 1310.1007 · arxiv_version: 1310.1007v2 · doi: 10.48550/arxiv.1310.1007 · pith_short_12: 4QBD24WYCYE3 · pith_short_16: 4QBD24WYCYE3FOJM · pith_short_8: 4QBD24WY

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/4QBD24WYCYE3FOJMYRLOF7LQ3B \
  | 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: e4023d72d81609b2b92cc456e2fd70d856e5bd7eeed9348d2de024cfb985d9b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164d2554ccd6f46083a49101e4b8d3eed2d09415c913507b2ac022d2497ab5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-03T15:26:29Z",
    "title_canon_sha256": "e2731b65ce2b75ffbfddbaff92a6959ecbc2dc14f4b179d804970f2e5725b920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1007",
    "kind": "arxiv",
    "version": 2
  }
}