Pith Number

pith:4U7CUIWU

pith:2012:4U7CUIWU7UITA2CGNADWHL4ZL2

not attested not anchored not stored refs pending

Pairings on Generalized Huff Curves

Abdoul Aziz Ciss, Djiby Sow

arxiv:1211.1666 v1 · 2012-11-07 · cs.CR · 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{4U7CUIWU7UITA2CGNADWHL4ZL2}

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	2026-05-18T03:41:19.779577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53e2a22d4fd11306846680763af995eb4b1b7ce1054061a808907bed51b534b

Aliases

arxiv: 1211.1666 · arxiv_version: 1211.1666v1 · doi: 10.48550/arxiv.1211.1666 · pith_short_12: 4U7CUIWU7UIT · pith_short_16: 4U7CUIWU7UITA2CG · pith_short_8: 4U7CUIWU

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/4U7CUIWU7UITA2CGNADWHL4ZL2 \
  | 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: e53e2a22d4fd11306846680763af995eb4b1b7ce1054061a808907bed51b534b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728a0dbe0b3d43297c56770b54e6fb3553429f9ccd67286202e86e819d517cb2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2012-11-07T00:44:42Z",
    "title_canon_sha256": "aaa74b84c22f2cb3a135ec15d18a0297c6e44b3d7dc1b2927044a32c20dfc873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1666",
    "kind": "arxiv",
    "version": 1
  }
}