Pith Number

pith:BEUNFPSA

pith:2011:BEUNFPSA3TPLFBEF4YX7HU4FVA

not attested not anchored not stored refs pending

On the Number of Distinct Legendre, Jacobi and Hessian Curves

Reza Rezaeian Farashahi

arxiv:1112.5714 v1 · 2011-12-24 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEUNFPSA3TPLFBEF4YX7HU4FVA}

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	2026-05-18T04:05:37.746642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0928d2be40dcdeb28485e62ff3d385a83659aaf1ee33ef20efccb502bca8a12a

Aliases

arxiv: 1112.5714 · arxiv_version: 1112.5714v1 · doi: 10.48550/arxiv.1112.5714 · pith_short_12: BEUNFPSA3TPL · pith_short_16: BEUNFPSA3TPLFBEF · pith_short_8: BEUNFPSA

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/BEUNFPSA3TPLFBEF4YX7HU4FVA \
  | 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: 0928d2be40dcdeb28485e62ff3d385a83659aaf1ee33ef20efccb502bca8a12a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c11db04e5a7d773a1299d965b6f6f7fd9ae3e053a27c7af39d1193f527c2f6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-24T10:45:45Z",
    "title_canon_sha256": "2ec7a1d6a33f7ef067831ee66be5163de0c209f53d4a79e0a01a1f25730f1dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5714",
    "kind": "arxiv",
    "version": 1
  }
}