Pith Number

pith:64AOBANZ

pith:2013:64AOBANZMNZ6PSSLTVKHQOJ4KD

not attested not anchored not stored refs pending

Recurrent construction of optimal entanglement witnesses for 2N qubit systems

Dariusz Chru\'sci\'nski, Justyna P. Zwolak

arxiv:1311.2638 v1 · 2013-11-11 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64AOBANZMNZ6PSSLTVKHQOJ4KD}

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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	2026-05-18T02:51:33.851247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f700e081b96373e7ca4b9d5478393c50d1522dfb09447b7b8e5698a628836422

Aliases

arxiv: 1311.2638 · arxiv_version: 1311.2638v1 · doi: 10.48550/arxiv.1311.2638 · pith_short_12: 64AOBANZMNZ6 · pith_short_16: 64AOBANZMNZ6PSSL · pith_short_8: 64AOBANZ

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/64AOBANZMNZ6PSSLTVKHQOJ4KD \
  | 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: f700e081b96373e7ca4b9d5478393c50d1522dfb09447b7b8e5698a628836422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484175a4a0931fc72ff2d76a3feb6086a7b2c382958a154d87214708f8259b96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-11T22:38:58Z",
    "title_canon_sha256": "e3241bbaa16d4269016ec5f65f7c8c3c2367edd98e6ddce4b6461a1c40c46c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2638",
    "kind": "arxiv",
    "version": 1
  }
}