Pith Number

pith:6IVXNQJ5

pith:2017:6IVXNQJ5LKFLF3WBSONRHNOVDK

not attested not anchored not stored refs pending

Tensor rank is not multiplicative under the tensor product

Asger Kj{\ae}rulff Jensen, Jeroen Zuiddam, Matthias Christandl

arxiv:1705.09379 v4 · 2017-05-25 · math.AC · cs.CC · 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{6IVXNQJ5LKFLF3WBSONRHNOVDK}

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

Entanglement Certification $-$ From Theory to Experiment

Receipt and verification

First computed	2026-07-05T05:01:58.286700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22b76c13d5a8ab2eec1939b13b5d51aa01fd29689d1b4650526a22db4819b70

Aliases

arxiv: 1705.09379 · arxiv_version: 1705.09379v4 · doi: 10.48550/arxiv.1705.09379 · pith_short_12: 6IVXNQJ5LKFL · pith_short_16: 6IVXNQJ5LKFLF3WB · pith_short_8: 6IVXNQJ5

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/6IVXNQJ5LKFLF3WBSONRHNOVDK \
  | 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: f22b76c13d5a8ab2eec1939b13b5d51aa01fd29689d1b4650526a22db4819b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c7c4f427dbb6fa989825e1a6cb6412a4c805fcaef5368c60f16fb2a92d7a6f",
    "cross_cats_sorted": [
      "cs.CC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-25T21:55:17Z",
    "title_canon_sha256": "86acdcdb4b8f554df8b41bfcbfe8e2880aa6dfbafb7e820eae31b48159b533de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09379",
    "kind": "arxiv",
    "version": 4
  }
}