Pith Number

pith:RNC6XMLK

pith:2015:RNC6XMLKNAXHQE7JNB64UVP3JL

not attested not anchored not stored refs pending

Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture

Kazuhiko Yamaki

arxiv:1505.03665 v5 · 2015-05-14 · 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{RNC6XMLKNAXHQE7JNB64UVP3JL}

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	2026-05-18T00:38:23.684204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b45ebb16a682e7813e9687dca55fb4ad3de43bfe696880523785137d62b7b4a

Aliases

arxiv: 1505.03665 · arxiv_version: 1505.03665v5 · doi: 10.48550/arxiv.1505.03665 · pith_short_12: RNC6XMLKNAXH · pith_short_16: RNC6XMLKNAXHQE7J · pith_short_8: RNC6XMLK

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/RNC6XMLKNAXHQE7JNB64UVP3JL \
  | 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: 8b45ebb16a682e7813e9687dca55fb4ad3de43bfe696880523785137d62b7b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa3dd31a3c76f3b9d55de6fd743cc13cbe53f4cd333c517f448e2aa77ff9aad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-14T09:43:08Z",
    "title_canon_sha256": "9cc4d1e68a34727425a4ae98a9c1536139a8a9c97920331903c2d328b23acd4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03665",
    "kind": "arxiv",
    "version": 5
  }
}