Pith Number

pith:XXBG6BXD

pith:2015:XXBG6BXDF5YBDSMCZ2ERH6OMJK

not attested not anchored not stored refs pending

A criterion for an abelian variety to be non-simple

Anita Rojas, Herbert Lange, Robert Auffarth

arxiv:1507.08876 v2 · 2015-07-31 · 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{XXBG6BXDF5YBDSMCZ2ERH6OMJK}

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	2026-05-18T01:02:13.855679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc26f06e32f7011c982ce8913f9cc4aa8f6c73b209e46a2184ab9e6557e7afb

Aliases

arxiv: 1507.08876 · arxiv_version: 1507.08876v2 · doi: 10.48550/arxiv.1507.08876 · pith_short_12: XXBG6BXDF5YB · pith_short_16: XXBG6BXDF5YBDSMC · pith_short_8: XXBG6BXD

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/XXBG6BXDF5YBDSMCZ2ERH6OMJK \
  | 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: bdc26f06e32f7011c982ce8913f9cc4aa8f6c73b209e46a2184ab9e6557e7afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd2c41dbe7ba5ef041c36fdc6a9d3055bac4f3b278f0609d4ca5c44e17ef1393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-31T13:32:33Z",
    "title_canon_sha256": "dfd9e4b958c973683b6b33abb49b1873e4e91334db6a4cb089c6d21f2d22aac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08876",
    "kind": "arxiv",
    "version": 2
  }
}