Pith Number

pith:VLEMZSTK

pith:2007:VLEMZSTKQ6ENRON7BMBAZD4P3N

not attested not anchored not stored refs pending

Adaptive Entanglement Purification Protocols with Two-way Classical Communication

Alan W. Leung, Peter W. Shor

arxiv:quant-ph/0702156 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{VLEMZSTKQ6ENRON7BMBAZD4P3N}

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	2026-07-04T14:59:46.373231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac8ccca6a8788d8b9bf0b020c8f8fdb574d60a36f3ff112bc7b4dbfdeeb32c0

Aliases

arxiv: quant-ph/0702156 · arxiv_version: quant-ph/0702156v3 · doi: 10.48550/arxiv.quant-ph/0702156 · pith_short_12: VLEMZSTKQ6EN · pith_short_16: VLEMZSTKQ6ENRON7 · pith_short_8: VLEMZSTK

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/VLEMZSTKQ6ENRON7BMBAZD4P3N \
  | 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: aac8ccca6a8788d8b9bf0b020c8f8fdb574d60a36f3ff112bc7b4dbfdeeb32c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a308eea48038cfe7fd929151f0bfbc9029755e325512b477b87e29954072a38",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-02-15T14:36:50Z",
    "title_canon_sha256": "e6eac2dcebe04bd1bd091cd7475a139db335462e5e5d45db0537a0667085d62c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702156",
    "kind": "arxiv",
    "version": 3
  }
}