Pith Number

pith:ZNU6CT53

pith:2012:ZNU6CT53CKRO6DQXUTJDTHB4FM

not attested not anchored not stored refs pending

Two-Qubit Separability Probabilities: A Concise Formula

Paul B. Slater

arxiv:1209.1613 v1 · 2012-09-07 · quant-ph · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNU6CT53CKRO6DQXUTJDTHB4FM}

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	2026-05-18T03:46:04.354465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb69e14fbb12a2ef0e17a4d2399c3c2b26a3c90357d6097bd944c6bc3ef524c0

Aliases

arxiv: 1209.1613 · arxiv_version: 1209.1613v1 · doi: 10.48550/arxiv.1209.1613 · pith_short_12: ZNU6CT53CKRO · pith_short_16: ZNU6CT53CKRO6DQX · pith_short_8: ZNU6CT53

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/ZNU6CT53CKRO6DQXUTJDTHB4FM \
  | 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: cb69e14fbb12a2ef0e17a4d2399c3c2b26a3c90357d6097bd944c6bc3ef524c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0becd99edb0af5396f7c29b72ee02bad5c4a51e82b3f0a4bc3ac16b64d52b3fa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-07T19:09:08Z",
    "title_canon_sha256": "5df13cc0bcd70e2dfb44cdafb1286ff7418fc7d09207ac9dba2ee41e7dfdd3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1613",
    "kind": "arxiv",
    "version": 1
  }
}