Pith Number

pith:4J6WCL4X

pith:2012:4J6WCL4XYCHZRSPMERGXV4HLQM

not attested not anchored not stored refs pending

Constructive entanglement test from triangle inequality

Karol Zyczkowski, {\L}ukasz Rudnicki, Pawe{\l} Horodecki, Zbigniew Pucha{\l}a

arxiv:1211.2306 v3 · 2012-11-10 · 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{4J6WCL4XYCHZRSPMERGXV4HLQM}

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	2026-05-18T01:15:15.607974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27d612f97c08f98c9ec244d7af0eb8309f4338a641dbe242ff1b316e152af18

Aliases

arxiv: 1211.2306 · arxiv_version: 1211.2306v3 · doi: 10.48550/arxiv.1211.2306 · pith_short_12: 4J6WCL4XYCHZ · pith_short_16: 4J6WCL4XYCHZRSPM · pith_short_8: 4J6WCL4X

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/4J6WCL4XYCHZRSPMERGXV4HLQM \
  | 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: e27d612f97c08f98c9ec244d7af0eb8309f4338a641dbe242ff1b316e152af18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13fee2d6ec6f64bcdb42d27ca82fdc8ce0ef82693231aa74c021e4c789a56f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-10T07:56:58Z",
    "title_canon_sha256": "bffdfef538551f7cf95ca2424d9d005740f5d2d1f14335c009769670f4c3ce4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2306",
    "kind": "arxiv",
    "version": 3
  }
}