Pith Number

pith:KUHMX25L

pith:2017:KUHMX25LAVWNOLHCCEBKKUFLHE

not attested not anchored not stored refs pending

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

Akiyoshi Sannai, Sho Ejiri

arxiv:1702.04209 v2 · 2017-02-14 · 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{KUHMX25LAVWNOLHCCEBKKUFLHE}

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	2026-05-18T00:36:32.594083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550ecbebab056cd72ce21102a550ab39157d0e2ccbff5d73cb96bbb55ce0e3a3

Aliases

arxiv: 1702.04209 · arxiv_version: 1702.04209v2 · doi: 10.48550/arxiv.1702.04209 · pith_short_12: KUHMX25LAVWN · pith_short_16: KUHMX25LAVWNOLHC · pith_short_8: KUHMX25L

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/KUHMX25LAVWNOLHCCEBKKUFLHE \
  | 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: 550ecbebab056cd72ce21102a550ab39157d0e2ccbff5d73cb96bbb55ce0e3a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c88657599832bef18c2c028e8e59314f7e8f7056ccb866ce7a7aea6c54280567",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-14T13:54:00Z",
    "title_canon_sha256": "a35e29a82a239c8f8a10f7d8defe55b8eccd719b887f21ee220a9f23ecd0b197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04209",
    "kind": "arxiv",
    "version": 2
  }
}