Pith Number

pith:7X6CODRC

pith:2007:7X6CODRCUKWH5TNWIOGJVKTSVG

not attested not anchored not stored refs pending

Entanglement purification with two-way classical communication

Alan W. Leung, Peter W. Shor

arxiv:quant-ph/0702155 v3 · 2007-02-15 · 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{7X6CODRCUKWH5TNWIOGJVKTSVG}

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

Practical Entanglement Distillation Protocols with Quadratic Error Suppression

Receipt and verification

First computed	2026-07-04T14:59:38.184568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfc270e22a2ac7ecdb6438c9aaa72a99da008b90bafa6fd920562a26b698ad5

Aliases

arxiv: quant-ph/0702155 · arxiv_version: quant-ph/0702155v3 · doi: 10.48550/arxiv.quant-ph/0702155 · pith_short_12: 7X6CODRCUKWH · pith_short_16: 7X6CODRCUKWH5TNW · pith_short_8: 7X6CODRC

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/7X6CODRCUKWH5TNWIOGJVKTSVG \
  | 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: fdfc270e22a2ac7ecdb6438c9aaa72a99da008b90bafa6fd920562a26b698ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e57403a67d1d5402f5558ffcb1e5d243f446130b121c7bc36cda0f956436471",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-02-15T14:32:39Z",
    "title_canon_sha256": "f1e03aafc192613947e1520fb3b2aa54cd218fea72231e6862df473ed1d9bac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702155",
    "kind": "arxiv",
    "version": 3
  }
}