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Pith Number

pith:X2GGGF26

pith:2014:X2GGGF26QYU6YUK2OVXZCPWVJB
not attested not anchored not stored refs pending

Exact quantum algorithms have advantage for almost all Boolean functions

Andris Ambainis, Jozef Gruska, Shenggen Zheng

arxiv:1404.1684 v3 · 2014-04-07 · cs.CC · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X2GGGF26QYU6YUK2OVXZCPWVJB}

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 2026-05-18T02:41:41.629120Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

be8c63175e8629ec515a756f913ed5485dc4950fa749b63fd4bed1849d83b1f4

Aliases

arxiv: 1404.1684 · arxiv_version: 1404.1684v3 · doi: 10.48550/arxiv.1404.1684 · pith_short_12: X2GGGF26QYU6 · pith_short_16: X2GGGF26QYU6YUK2 · pith_short_8: X2GGGF26
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X2GGGF26QYU6YUK2OVXZCPWVJB \
  | 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: be8c63175e8629ec515a756f913ed5485dc4950fa749b63fd4bed1849d83b1f4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2ba99ca40a8a733d0532d6670e0a1d8d5e878faf254077e31e6be4ec67a953d6",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-04-07T08:05:31Z",
    "title_canon_sha256": "c29e1e0b78b9a9844cd92566b0443a8113c1d3601acee73e6c39144e604a7551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1684",
    "kind": "arxiv",
    "version": 3
  }
}