Pith Number

pith:RZM55FCC

pith:2012:RZM55FCC6DBZDC563Y2XD7FNHG

not attested not anchored not stored refs pending

Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information

Brent Doran, David Gross, Matthias Christandl, Michael Walter

arxiv:1208.0365 v4 · 2012-08-01 · 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{RZM55FCC6DBZDC563Y2XD7FNHG}

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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.

Cited by

1 paper in Pith

Error exponents for tripartite-to-bipartite entanglement transformations

Receipt and verification

First computed	2026-05-18T02:37:43.100510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e59de9442f0c3918bbede3571fcad39aa5d01c6544a4f53ffe6509e39a2a516

Aliases

arxiv: 1208.0365 · arxiv_version: 1208.0365v4 · doi: 10.48550/arxiv.1208.0365 · pith_short_12: RZM55FCC6DBZ · pith_short_16: RZM55FCC6DBZDC56 · pith_short_8: RZM55FCC

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/RZM55FCC6DBZDC563Y2XD7FNHG \
  | 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: 8e59de9442f0c3918bbede3571fcad39aa5d01c6544a4f53ffe6509e39a2a516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81f6c21deb2f35c44c825ddd33c2373785fb2772b40428b999de07ba300c66a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-01T21:16:05Z",
    "title_canon_sha256": "50d178a8b0b8b5741eedc97a9dd389eac395892f7c2d0342c270d0c30d817e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0365",
    "kind": "arxiv",
    "version": 4
  }
}