Pith Number

pith:LQJB4OIR

pith:2009:LQJB4OIRYPFMK74KDJ6PRFJPJC

not attested not anchored not stored refs pending

Density of rational points on isotrivial rational elliptic surfaces

Anthony V\'arilly-Alvarado

arxiv:0911.3881 v3 · 2009-11-19 · math.NT · 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{LQJB4OIRYPFMK74KDJ6PRFJPJC}

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	2026-05-18T03:53:52.627103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c121e3911c3cac57f8a1a7cf8952f48a1a8940822a5efeb3016104ddf16ee05

Aliases

arxiv: 0911.3881 · arxiv_version: 0911.3881v3 · doi: 10.48550/arxiv.0911.3881 · pith_short_12: LQJB4OIRYPFM · pith_short_16: LQJB4OIRYPFMK74K · pith_short_8: LQJB4OIR

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/LQJB4OIRYPFMK74KDJ6PRFJPJC \
  | 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: 5c121e3911c3cac57f8a1a7cf8952f48a1a8940822a5efeb3016104ddf16ee05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a9afe8baec533d4fe71f808d39925575d3db8f354a6c75e3fa20fdb4ac6a75",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-19T20:05:25Z",
    "title_canon_sha256": "2dd305359c7207d2c369f9138dda50be77d1568af5761163958495f457ab1e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3881",
    "kind": "arxiv",
    "version": 3
  }
}