Pith Number

pith:KLEXTYPZ

pith:2000:KLEXTYPZK3FFZCSPRZQUHFQB6H

not attested not anchored not stored refs pending

On Arbitrary Phases in Quantum Amplitude Amplification

Peter Hoyer

arxiv:quant-ph/0006031 v1 · 2000-06-07 · 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{KLEXTYPZK3FFZCSPRZQUHFQB6H}

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

Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search

Receipt and verification

First computed	2026-05-18T00:53:45.913194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c979e1f956ca5c8a4f8e61439601f1fd68a959e3009fffc5a05a5c85feebcf

Aliases

arxiv: quant-ph/0006031 · arxiv_version: quant-ph/0006031v1 · doi: 10.48550/arxiv.quant-ph/0006031 · pith_short_12: KLEXTYPZK3FF · pith_short_16: KLEXTYPZK3FFZCSP · pith_short_8: KLEXTYPZ

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/KLEXTYPZK3FFZCSPRZQUHFQB6H \
  | 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: 52c979e1f956ca5c8a4f8e61439601f1fd68a959e3009fffc5a05a5c85feebcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d952b7f8288b566e88f93a1df7cdf12b88b83c7c0d79aa342b4f4379535bc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-07T07:52:03Z",
    "title_canon_sha256": "48cd164137a0588c0d195f9e2c5569f59cb654cd4a15adb95e6f65c4a4ce66f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006031",
    "kind": "arxiv",
    "version": 1
  }
}