Pith Number

pith:WQRMJUBN

pith:2001:WQRMJUBNDYXKXKUM6HGAR2SB34

not attested not anchored not stored refs pending

Statistical distinguishability between unitary operations

A. Acin

arxiv:quant-ph/0102064 v2 · 2001-02-12 · 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{WQRMJUBNDYXKXKUM6HGAR2SB34}

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

Probabilistic exact universal quantum circuits for transforming unitary operations

Receipt and verification

First computed	2026-07-04T16:28:54.636419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b422c4d02d1e2eabaa8cf1cc08ea41df39d70f1efafc7bf5be97cd3950ce7e33

Aliases

arxiv: quant-ph/0102064 · arxiv_version: quant-ph/0102064v2 · doi: 10.48550/arxiv.quant-ph/0102064 · pith_short_12: WQRMJUBNDYXK · pith_short_16: WQRMJUBNDYXKXKUM · pith_short_8: WQRMJUBN

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/WQRMJUBNDYXKXKUM6HGAR2SB34 \
  | 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: b422c4d02d1e2eabaa8cf1cc08ea41df39d70f1efafc7bf5be97cd3950ce7e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f16bcd3fd1849ecb9eed1230c8169a6349e986a75679f8b1ca58ba6d2a2d73",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-02-12T13:39:43Z",
    "title_canon_sha256": "799c652305719fb998d9c1ff641d84b2614b1338f9b5066b7a8b823480a68f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0102064",
    "kind": "arxiv",
    "version": 2
  }
}