Pith Number

pith:IVNNIZDO

pith:2013:IVNNIZDOCAPFT7VYNEGNEVDUKT

not attested not anchored not stored refs pending

Entanglement classification of 2 X 2 X 2 X d quantum systems via the ranks of the multiple coefficient matrices

Gui-Lu Long, Shuhao Wang, Yao Lu

arxiv:1306.3539 v1 · 2013-06-15 · 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{IVNNIZDOCAPFT7VYNEGNEVDUKT}

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	2026-05-18T03:20:47.268605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455ad4646e101e59feb8690cd2547454fd47706689bd5e7539a3ecc9bc73e5f2

Aliases

arxiv: 1306.3539 · arxiv_version: 1306.3539v1 · doi: 10.48550/arxiv.1306.3539 · pith_short_12: IVNNIZDOCAPF · pith_short_16: IVNNIZDOCAPFT7VY · pith_short_8: IVNNIZDO

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/IVNNIZDOCAPFT7VYNEGNEVDUKT \
  | 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: 455ad4646e101e59feb8690cd2547454fd47706689bd5e7539a3ecc9bc73e5f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac325fffa028c6db9c6b9c02be785f9eb65a4e704d7c9e8331841d9cd3b56d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-15T01:49:43Z",
    "title_canon_sha256": "728dca07d975ee673b36304eefbd496378998c357405eeb028f5c381617579b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3539",
    "kind": "arxiv",
    "version": 1
  }
}