Pith Number

pith:4GZPNFS5

pith:2018:4GZPNFS5VZ6HXSEEGFK27TO2BO

not attested not anchored not stored refs pending

Constructing $2\times2\times4$ and $4\times4$ unextendible product bases and positive-partial-transpose entangled states

Kai Wang, Lijun Zhao, Lin Chen, Yi Shen, Yize Sun

arxiv:1810.08932 v1 · 2018-10-21 · 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{4GZPNFS5VZ6HXSEEGFK27TO2BO}

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	2026-05-18T00:02:41.418937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b2f6965dae7c7bc8843155afcdda0b9463baf74faba5bb6123ee3a16d37df4

Aliases

arxiv: 1810.08932 · arxiv_version: 1810.08932v1 · doi: 10.48550/arxiv.1810.08932 · pith_short_12: 4GZPNFS5VZ6H · pith_short_16: 4GZPNFS5VZ6HXSEE · pith_short_8: 4GZPNFS5

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/4GZPNFS5VZ6HXSEEGFK27TO2BO \
  | 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: e1b2f6965dae7c7bc8843155afcdda0b9463baf74faba5bb6123ee3a16d37df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e48c67ca04ea11d8b83011dcbff71c62726e8e80156d6e334b10566108c4f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-10-21T12:30:38Z",
    "title_canon_sha256": "9d83dd2e6cc2298598164f0118d3a01ec2028c138bb5e1c5f0534f2a7f0f12fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08932",
    "kind": "arxiv",
    "version": 1
  }
}