Pith Number

pith:5RDJHWD2

pith:2015:5RDJHWD24755THKOFZPYOOKMKP

not attested not anchored not stored refs pending

Applying Grover's algorithm to AES: quantum resource estimates

Brandon Langenberg, Markus Grassl, Martin Roetteler, Rainer Steinwandt

arxiv:1512.04965 v1 · 2015-12-15 · quant-ph · cs.CR · 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{5RDJHWD24755THKOFZPYOOKMKP}

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	2026-05-18T01:24:13.893788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4693d87ae7fbd99d4e2e5f87394c53e63426ad99d851c027f84f864ee0bd40

Aliases

arxiv: 1512.04965 · arxiv_version: 1512.04965v1 · doi: 10.48550/arxiv.1512.04965 · pith_short_12: 5RDJHWD24755 · pith_short_16: 5RDJHWD24755THKO · pith_short_8: 5RDJHWD2

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/5RDJHWD24755THKOFZPYOOKMKP \
  | 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: ec4693d87ae7fbd99d4e2e5f87394c53e63426ad99d851c027f84f864ee0bd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8104d45a7c38c07b8fed8ac7640ba9d57ecec11cb3696b690e01345dfbf8c890",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.ET"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-15T21:13:56Z",
    "title_canon_sha256": "f31be80bf8cb9a516fd5f4c8e16a68e66194e2ede82f3847c67d061c4d7d0caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04965",
    "kind": "arxiv",
    "version": 1
  }
}