Pith Number

pith:K4WAOQS3

pith:2011:K4WAOQS3SERZNOM7P5ZM7KKTGA

not attested not anchored not stored refs pending

An optimal quantum algorithm to approximate the mean and its application for approximating the median of a set of points over an arbitrary distance

Alain Tapp, Frederic Dupuis, Gilles Brassard, Sebastien Gambs

arxiv:1106.4267 v1 · 2011-06-21 · quant-ph · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4WAOQS3SERZNOM7P5ZM7KKTGA}

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	2026-05-18T04:19:33.804790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572c07425b912396b99f7f72cfa95330201cbb75b5f9ae45aaa08f8e163bc994

Aliases

arxiv: 1106.4267 · arxiv_version: 1106.4267v1 · doi: 10.48550/arxiv.1106.4267 · pith_short_12: K4WAOQS3SERZ · pith_short_16: K4WAOQS3SERZNOM7 · pith_short_8: K4WAOQS3

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/K4WAOQS3SERZNOM7P5ZM7KKTGA \
  | 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: 572c07425b912396b99f7f72cfa95330201cbb75b5f9ae45aaa08f8e163bc994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e55e79cb0c957597e45e5e6e9ceb147a2fc5eee4439e2c54bef72b12321146",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-21T17:14:46Z",
    "title_canon_sha256": "580e31ab1e7a2527b6712d773890aa6a121b00cf354f229caa92a763d7dc385c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4267",
    "kind": "arxiv",
    "version": 1
  }
}