Pith Number

pith:XRAXITN6

pith:2003:XRAXITN6QNII62F2TBO2Q4NPQE

not attested not anchored not stored refs pending

Positive operator valued measures covariant with respect to an irreducible representation

A. Toigo, E. De Vito, G. Cassinelli

arxiv:quant-ph/0302187 v1 · 2003-02-26 · 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{XRAXITN6QNII62F2TBO2Q4NPQE}

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	2026-05-18T01:37:59.511131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc41744dbe83508f68ba985da871af811452185dcbe144d78231951d6d052750

Aliases

arxiv: quant-ph/0302187 · arxiv_version: quant-ph/0302187v1 · doi: 10.48550/arxiv.quant-ph/0302187 · pith_short_12: XRAXITN6QNII · pith_short_16: XRAXITN6QNII62F2 · pith_short_8: XRAXITN6

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/XRAXITN6QNII62F2TBO2Q4NPQE \
  | 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: bc41744dbe83508f68ba985da871af811452185dcbe144d78231951d6d052750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00533bbc39425089e0cd5d4b3f279744ac59a4e40a26b333e8edc4e087c0a6b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-02-26T11:52:01Z",
    "title_canon_sha256": "b9d648cdc3dde5ee4480940d20918a3becd5cc246e29a65c6621aed64847b7db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0302187",
    "kind": "arxiv",
    "version": 1
  }
}