Pith Number

pith:3AVW5TC5

pith:2000:3AVW5TC55GLKRH7W4FNIHOLFQR

not attested not anchored not stored refs pending

Analysis of Generalized Grover's Quantum Search Algorithms Using Recursion Equations

(2) Hebrew University, (3) Weizmann Institute, (4) Karlsruhe University, (5) University of Toronto), Daniel A. Lidar (5), Daniel Shapira (2) ((1) Technion, David Biron (3), Eli Biham (1), Markus Grassl (4), Ofer Biham (2)

arxiv:quant-ph/0010077 v1 · 2000-10-21 · 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{3AVW5TC55GLKRH7W4FNIHOLFQR}

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	2026-05-18T01:05:05.209816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82b6ecc5de996a89ff6e15a83b965844112a59ecff39c4baacf7dd5c11d66ba

Aliases

arxiv: quant-ph/0010077 · arxiv_version: quant-ph/0010077v1 · doi: 10.48550/arxiv.quant-ph/0010077 · pith_short_12: 3AVW5TC55GLK · pith_short_16: 3AVW5TC55GLKRH7W · pith_short_8: 3AVW5TC5

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/3AVW5TC55GLKRH7W4FNIHOLFQR \
  | 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: d82b6ecc5de996a89ff6e15a83b965844112a59ecff39c4baacf7dd5c11d66ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05f19e5684285fcff0e91859efc8b8ff497904ec08e2f7f25bf98b6ba6aa621",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-10-21T20:42:06Z",
    "title_canon_sha256": "90b7dff5a69848e3aad4ecc3cc5f02f72cc3d9ea408afbde6fe496bbe58ca5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0010077",
    "kind": "arxiv",
    "version": 1
  }
}