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Pith Number

pith:VGRPQJWN

pith:2000:VGRPQJWNTLXANV3REVVKC47MQH
not attested not anchored not stored refs pending

Private Quantum Channels and the Cost of Randomizing Quantum Information

Alain Tapp (University of Waterloo), Michele Mosca (University of Waterloo), Ronald de Wolf (CWI, University of Amsterdam)

arxiv:quant-ph/0003101 v2 · 2000-03-22 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VGRPQJWNTLXANV3REVVKC47MQH}

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

2 papers in Pith

Receipt and verification
First computed 2026-07-04T14:45:27.270342Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9a2f826cd9aee06d771256aa173ec81f5de23d04ba255341d56950f4a2bd59b

Aliases

arxiv: quant-ph/0003101 · arxiv_version: quant-ph/0003101v2 · doi: 10.48550/arxiv.quant-ph/0003101 · pith_short_12: VGRPQJWNTLXA · pith_short_16: VGRPQJWNTLXANV3R · pith_short_8: VGRPQJWN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VGRPQJWNTLXANV3REVVKC47MQH \
  | 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: a9a2f826cd9aee06d771256aa173ec81f5de23d04ba255341d56950f4a2bd59b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dc0e7089e3fc113cdb0f05e4605e055e1f14a017b831b33926e3c755f93c6e19",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-03-22T03:12:58Z",
    "title_canon_sha256": "d2a4965f66e6012bdedc7f831adde0eccde8fdfada4f9950f20e57a49a6cfdb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0003101",
    "kind": "arxiv",
    "version": 2
  }
}