Pith Number

pith:Z6SJ2A5B

pith:2017:Z6SJ2A5BMEBHOUYYNIE3VXGG2C

not attested not anchored not stored refs pending

Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization

David de Laat, Monique Laurent, Sander Gribling

arxiv:1708.09696 v2 · 2017-08-31 · math.OC · 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{Z6SJ2A5BMEBHOUYYNIE3VXGG2C}

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	2026-05-18T00:26:29.053082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa49d03a161027753186a09badcc6d0836ad5289ef5e099f890fb0f66d61b4a

Aliases

arxiv: 1708.09696 · arxiv_version: 1708.09696v2 · doi: 10.48550/arxiv.1708.09696 · pith_short_12: Z6SJ2A5BMEBH · pith_short_16: Z6SJ2A5BMEBHOUYY · pith_short_8: Z6SJ2A5B

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/Z6SJ2A5BMEBHOUYYNIE3VXGG2C \
  | 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: cfa49d03a161027753186a09badcc6d0836ad5289ef5e099f890fb0f66d61b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d3ef702910d3632be6742459a9af10e106d7defe8f38391bd2c6fe372ebb97",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-31T13:07:11Z",
    "title_canon_sha256": "3d9b181baac5687e18812c2c1ce6292bc347c99d5c14c3ca4b0585310057e598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09696",
    "kind": "arxiv",
    "version": 2
  }
}