Pith Number

pith:WFPBRQWD

pith:2006:WFPBRQWDWHGRB2MTAY4CNHDGM4

not attested not anchored not stored refs pending

Realization of positive-operator-valued measures by projective measurements without introducing ancillary dimensions

Guoming Wang, Mingsheng Ying

arxiv:quant-ph/0608235 v3 · 2006-08-30 · 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{WFPBRQWDWHGRB2MTAY4CNHDGM4}

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	2026-07-04T14:56:45.955351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b15e18c2c3b1cd10e9930638269c6667319122c88c402c64dc2715f713502a2a

Aliases

arxiv: quant-ph/0608235 · arxiv_version: quant-ph/0608235v3 · doi: 10.48550/arxiv.quant-ph/0608235 · pith_short_12: WFPBRQWDWHGR · pith_short_16: WFPBRQWDWHGRB2MT · pith_short_8: WFPBRQWD

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/WFPBRQWDWHGRB2MTAY4CNHDGM4 \
  | 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: b15e18c2c3b1cd10e9930638269c6667319122c88c402c64dc2715f713502a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fafaf1f527a00b67126b68442ec7b013f7136a8f8c1b278164ea7e21681bf0d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-08-30T05:37:51Z",
    "title_canon_sha256": "68121d1222a9d742f664ce800a79a5612d9ddb995baaf4c4896d180f68db790d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0608235",
    "kind": "arxiv",
    "version": 3
  }
}