Pith Number

pith:RA6LLFAJ

pith:2026:RA6LLFAJO47N4444SJ5UZNG2KV

not attested not anchored not stored refs pending

Optimized Point Addition Circuits for Elliptic Curve Discrete Logarithms

Andr\'e Schrottenloher

arxiv:2606.02235 v1 · 2026-06-01 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RA6LLFAJO47N4444SJ5UZNG2KV}

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	2026-06-02T03:04:53.765641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883cb59409773ede739c927b4cb4da554966c10637d0f5d75636d30de68938b1

Aliases

arxiv: 2606.02235 · arxiv_version: 2606.02235v1 · doi: 10.48550/arxiv.2606.02235 · pith_short_12: RA6LLFAJO47N · pith_short_16: RA6LLFAJO47N4444 · pith_short_8: RA6LLFAJ

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/RA6LLFAJO47N4444SJ5UZNG2KV \
  | 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: 883cb59409773ede739c927b4cb4da554966c10637d0f5d75636d30de68938b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feab0d07f7a55612bbfbf51d135e9eac666a16f7330735da5972aa2995a168a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-01T13:29:30Z",
    "title_canon_sha256": "5b07df25056d4873ad5fb9f31e02f5e0ba05564b20c21de42375bdb59b809cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02235",
    "kind": "arxiv",
    "version": 1
  }
}