Pith Number

pith:H5LWFESO

pith:2011:H5LWFESOLHKO2SUPV3VPXFZEZ6

not attested not anchored not stored refs pending

Constructing families of elliptic curves with prescribed mod 3 representation via Hessian and Cayleyan curves

Masato Kuwata

arxiv:1112.6317 v2 · 2011-12-29 · 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{H5LWFESOLHKO2SUPV3VPXFZEZ6}

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	2026-05-18T03:45:23.098012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5762924e59d4ed4a8faeeafb9724cf9f95f7d126ce874dd602a6f204bcbaf8

Aliases

arxiv: 1112.6317 · arxiv_version: 1112.6317v2 · doi: 10.48550/arxiv.1112.6317 · pith_short_12: H5LWFESOLHKO · pith_short_16: H5LWFESOLHKO2SUP · pith_short_8: H5LWFESO

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/H5LWFESOLHKO2SUPV3VPXFZEZ6 \
  | 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: 3f5762924e59d4ed4a8faeeafb9724cf9f95f7d126ce874dd602a6f204bcbaf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dbe90b8d62a44d4106e426bc1a43651ac458a6396b8a5807a343d79f9fac8b3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-29T14:21:24Z",
    "title_canon_sha256": "c11b69fdaae1fb0190b554fc1731606b492f4e7eb7481f60164648ff6b02db46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6317",
    "kind": "arxiv",
    "version": 2
  }
}