Pith Number

pith:R36WZ7CT

pith:2011:R36WZ7CT3NTZOJJPDAWUS6BFH2

not attested not anchored not stored refs pending

Exceptional elliptic curves over quartic fields

Filip Najman

arxiv:1109.2207 v2 · 2011-09-10 · 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{R36WZ7CT3NTZOJJPDAWUS6BFH2}

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	2026-05-18T03:54:47.878812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8efd6cfc53db6797252f182d4978253ea24f5759d10e3620ac617f9c46bf3d74

Aliases

arxiv: 1109.2207 · arxiv_version: 1109.2207v2 · doi: 10.48550/arxiv.1109.2207 · pith_short_12: R36WZ7CT3NTZ · pith_short_16: R36WZ7CT3NTZOJJP · pith_short_8: R36WZ7CT

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/R36WZ7CT3NTZOJJPDAWUS6BFH2 \
  | 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: 8efd6cfc53db6797252f182d4978253ea24f5759d10e3620ac617f9c46bf3d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c8c2205d048ddfcaff7b7c43fc1a1c5ef85476bde8fb0ea7eeed04217f1819",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-10T09:41:42Z",
    "title_canon_sha256": "0984900556a52e8ccca9d34e0df3c4520547ef91d4cf6f46f1343a89752074e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2207",
    "kind": "arxiv",
    "version": 2
  }
}