Pith Number

pith:7S2CMARF

pith:2017:7S2CMARFKI3CI3YTGPF6H4HNOO

not attested not anchored not stored refs pending

The tensor rank of tensor product of two three-qubit W states is eight

Lin Chen, Shmuel Friedland

arxiv:1708.08578 v2 · 2017-08-29 · quant-ph · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7S2CMARFKI3CI3YTGPF6H4HNOO}

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	2026-05-18T00:27:19.102986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb42602255236246f1333cbe3f0ed7396a9a3b279806c3c868c8021c3a80662

Aliases

arxiv: 1708.08578 · arxiv_version: 1708.08578v2 · doi: 10.48550/arxiv.1708.08578 · pith_short_12: 7S2CMARFKI3C · pith_short_16: 7S2CMARFKI3CI3YT · pith_short_8: 7S2CMARF

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/7S2CMARFKI3CI3YTGPF6H4HNOO \
  | 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: fcb42602255236246f1333cbe3f0ed7396a9a3b279806c3c868c8021c3a80662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f770ae45338824e16de7f925eea13b90f8946bdd93607d7c3f225ac12fdd8be",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-08-29T02:47:00Z",
    "title_canon_sha256": "0d8ee4aaf164259f2c12be35b081b3dbf4cbf986648fd63ed10c660793f3c0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08578",
    "kind": "arxiv",
    "version": 2
  }
}