Pith Number

pith:HRD7W4WC

pith:2019:HRD7W4WC32CDGJ7WID6G76R42F

not attested not anchored not stored refs pending

The set of separable states has no finite semidefinite representation except in dimension $3\times 2$

Hamza Fawzi

arxiv:1905.02575 v1 · 2019-05-04 · quant-ph · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRD7W4WC32CDGJ7WID6G76R42F}

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.

Cited by

1 paper in Pith

Detecting bipartite entanglement with PnCP maps and non-negative polynomials

Receipt and verification

First computed	2026-05-17T23:46:51.015266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c47fb72c2de843327f640fc6ffa3cd17fd33465e5a91bcc0f922f4c64f32d65

Aliases

arxiv: 1905.02575 · arxiv_version: 1905.02575v1 · doi: 10.48550/arxiv.1905.02575 · pith_short_12: HRD7W4WC32CD · pith_short_16: HRD7W4WC32CDGJ7W · pith_short_8: HRD7W4WC

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/HRD7W4WC32CDGJ7WID6G76R42F \
  | 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: 3c47fb72c2de843327f640fc6ffa3cd17fd33465e5a91bcc0f922f4c64f32d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1abe44325f0f3fc867e0c2d8f1fa8ac6319dd7bc4707849718c8e2503c145b4c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-05-04T20:10:49Z",
    "title_canon_sha256": "21cf3533268b1ee8d885759844fffc741342f4d77e2956ffb15a95a325381fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02575",
    "kind": "arxiv",
    "version": 1
  }
}