Pith Number

pith:XCQ5EPHI

pith:2012:XCQ5EPHIQHTSXTKENOCCVK33B2

not attested not anchored not stored refs pending

Minimal covariant observables identifying all pure states

Alessandro Toigo, Claudio Carmeli, Teiko Heinosaari

arxiv:1212.4355 v1 · 2012-12-18 · 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{XCQ5EPHIQHTSXTKENOCCVK33B2}

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	2026-05-18T03:26:52.469432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a1d23ce881e72bcd446b842aab7b0e87bacc9fef7056d18d0dad070d117287

Aliases

arxiv: 1212.4355 · arxiv_version: 1212.4355v1 · doi: 10.48550/arxiv.1212.4355 · pith_short_12: XCQ5EPHIQHTS · pith_short_16: XCQ5EPHIQHTSXTKE · pith_short_8: XCQ5EPHI

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/XCQ5EPHIQHTSXTKENOCCVK33B2 \
  | 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: b8a1d23ce881e72bcd446b842aab7b0e87bacc9fef7056d18d0dad070d117287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ade613f4cece53cb787fda891feaebd3fa19a4ac17fa244f23dd7caec709ee3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-18T14:14:18Z",
    "title_canon_sha256": "25f7b40f3a5563169f90c3753097e424489dd592d185caafc58251602eed8b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4355",
    "kind": "arxiv",
    "version": 1
  }
}