Pith Number

pith:2CKOH7MH

pith:1997:2CKOH7MHDHXSA56NI7UUKUKPCL

not attested not anchored not stored refs pending

A framework for fast quantum mechanical algorithms

Lov K. Grover (Bell Labs, Murray Hill NJ)

arxiv:quant-ph/9711043 v2 · 1997-11-20 · 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{2CKOH7MHDHXSA56NI7UUKUKPCL}

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

Quantum Approximate Counting, Simplified

Receipt and verification

First computed	2026-07-04T14:47:09.379210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d094e3fd8719ef2077cd47e945514f12f21fedd10081cd1fad97b62f7fb1e999

Aliases

arxiv: quant-ph/9711043 · arxiv_version: quant-ph/9711043v2 · doi: 10.48550/arxiv.quant-ph/9711043 · pith_short_12: 2CKOH7MHDHXS · pith_short_16: 2CKOH7MHDHXSA56N · pith_short_8: 2CKOH7MH

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/2CKOH7MHDHXSA56NI7UUKUKPCL \
  | 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: d094e3fd8719ef2077cd47e945514f12f21fedd10081cd1fad97b62f7fb1e999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b56000609220592c0e5a84bc2b82d29e060ad49a0221ad94306af2478b8bd82",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-11-20T03:01:54Z",
    "title_canon_sha256": "b83b1c999d5f046afbe9d70bc3f383f4f9535fefd917d900fffdbe6026f42687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9711043",
    "kind": "arxiv",
    "version": 2
  }
}