Pith Number

pith:3Z7JQUFX

pith:2013:3Z7JQUFXAWYVS35YYVBATSDEZH

not attested not anchored not stored refs pending

A quantum circuit to find discrete logarithms on ordinary binary elliptic curves in depth O(log^2 n)

Martin Roetteler, Rainer Steinwandt

arxiv:1306.1161 v2 · 2013-06-05 · quant-ph · cs.DS · cs.ET

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z7JQUFXAWYVS35YYVBATSDEZH}

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	2026-05-18T03:07:12.193736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7e9850b705b1596fb8c54209c864c9d713ceb736be7fac83a2d27d65f8b191

Aliases

arxiv: 1306.1161 · arxiv_version: 1306.1161v2 · doi: 10.48550/arxiv.1306.1161 · pith_short_12: 3Z7JQUFXAWYV · pith_short_16: 3Z7JQUFXAWYVS35Y · pith_short_8: 3Z7JQUFX

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/3Z7JQUFXAWYVS35YYVBATSDEZH \
  | 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: de7e9850b705b1596fb8c54209c864c9d713ceb736be7fac83a2d27d65f8b191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2277a07ab80a9f0b4626e0e53f61ce167ab33bdfb4bf1529d196d75a459ef8ea",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.ET"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-05T16:15:34Z",
    "title_canon_sha256": "06576816567d9d78bbb3e19df10b86d0216cb88b9ab218096ee929002a1742dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1161",
    "kind": "arxiv",
    "version": 2
  }
}