Pith Number

pith:LX7ZMRZP

pith:2014:LX7ZMRZPI3ZWWW7LZ6ECUVF73U

not attested not anchored not stored refs pending

A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf

Akiyoshi Sannai, Hiromu Tanaka

arxiv:1411.5294 v5 · 2014-11-19 · 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{LX7ZMRZPI3ZWWW7LZ6ECUVF73U}

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	2026-05-18T01:23:04.392391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dff96472f46f36b5bebcf882a54bfdd319d2639886f15ed891b05f2b06698c1

Aliases

arxiv: 1411.5294 · arxiv_version: 1411.5294v5 · doi: 10.48550/arxiv.1411.5294 · pith_short_12: LX7ZMRZPI3ZW · pith_short_16: LX7ZMRZPI3ZWWW7L · pith_short_8: LX7ZMRZP

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/LX7ZMRZPI3ZWWW7LZ6ECUVF73U \
  | 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: 5dff96472f46f36b5bebcf882a54bfdd319d2639886f15ed891b05f2b06698c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f06d346589500931eda92aecfb411c26f54307bcfbe87a517da668f2d758c72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-19T17:20:48Z",
    "title_canon_sha256": "5b9e608b2414ee71588d7fc9bf57582a226a444fedccc885938797eafbb5220b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5294",
    "kind": "arxiv",
    "version": 5
  }
}