Pith Number

pith:X3V4XBCG

pith:2019:X3V4XBCGKKGYCZQ7V27Y7MSEY6

not attested not anchored not stored refs pending

Hash functions from superspecial genus-2 curves using Richelot isogenies

Benjamin Smith (GRACE), Thomas Decru (KU Leuven), Wouter Castryck (KU Leuven)

arxiv:1903.06451 v1 · 2019-03-15 · 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{X3V4XBCGKKGYCZQ7V27Y7MSEY6}

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.

Cited by

1 paper in Pith

Genus 2 Supersingular Isogeny Oblivious Transfer

Receipt and verification

First computed	2026-05-17T23:51:10.810004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beebcb8446528d81661faebf8fb244c7bbddee11438291c3147ef0a97bc9b7f8

Aliases

arxiv: 1903.06451 · arxiv_version: 1903.06451v1 · doi: 10.48550/arxiv.1903.06451 · pith_short_12: X3V4XBCGKKGY · pith_short_16: X3V4XBCGKKGYCZQ7 · pith_short_8: X3V4XBCG

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/X3V4XBCGKKGYCZQ7V27Y7MSEY6 \
  | 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: beebcb8446528d81661faebf8fb244c7bbddee11438291c3147ef0a97bc9b7f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305cdd87463ca0ebdc6491f7977686c85f2987d5c09fb0be91feb36249a84db1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2019-03-15T10:38:59Z",
    "title_canon_sha256": "0bba07b194688673c5aba6e4ee48767b61b762cbcd39c753218f6f2d71476fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06451",
    "kind": "arxiv",
    "version": 1
  }
}