Pith Number

pith:ZZBVRYSA

pith:2012:ZZBVRYSABTLE5FBDGOPBRQ6DVJ

not attested not anchored not stored refs pending

Observables Generalizing Positive Operator Valued Measures

Andrei Khrennikov, Irina Basieva

arxiv:1212.0758 v1 · 2012-12-01 · quant-ph · q-bio.NC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZBVRYSABTLE5FBDGOPBRQ6DVJ}

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	2026-05-18T01:52:47.861420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4358e2400cd64e9423339e18c3c3aa459581c5e0ccf4908e0e83056c13bac4

Aliases

arxiv: 1212.0758 · arxiv_version: 1212.0758v1 · doi: 10.48550/arxiv.1212.0758 · pith_short_12: ZZBVRYSABTLE · pith_short_16: ZZBVRYSABTLE5FBD · pith_short_8: ZZBVRYSA

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/ZZBVRYSABTLE5FBDGOPBRQ6DVJ \
  | 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: ce4358e2400cd64e9423339e18c3c3aa459581c5e0ccf4908e0e83056c13bac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab95974cf87125a84ab67048191f7274d818fa92000b9817fc282eee0a6f2877",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-01T11:25:43Z",
    "title_canon_sha256": "bb3ff3d5e197db4387f8f287cdd8ce6953674d1b964340ddef8ada4c52d59027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0758",
    "kind": "arxiv",
    "version": 1
  }
}