Pith Number

pith:WZ3FU7LH

pith:2014:WZ3FU7LH7WEBPXVVRYYGIJKPC3

not attested not anchored not stored refs pending

Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems

Yan-kui Bai, Yuan-Fei Xu, Z. D. Wang

arxiv:1408.5651 v3 · 2014-08-25 · 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{WZ3FU7LH7WEBPXVVRYYGIJKPC3}

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	2026-05-18T01:42:13.445422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6765a7d67fd8817deb58e3064254f16cb58a652a872a769a892dab2b2957ab4

Aliases

arxiv: 1408.5651 · arxiv_version: 1408.5651v3 · doi: 10.48550/arxiv.1408.5651 · pith_short_12: WZ3FU7LH7WEB · pith_short_16: WZ3FU7LH7WEBPXVV · pith_short_8: WZ3FU7LH

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/WZ3FU7LH7WEBPXVVRYYGIJKPC3 \
  | 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: b6765a7d67fd8817deb58e3064254f16cb58a652a872a769a892dab2b2957ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d33a012b86948295b3124adc02ea4ff43a6fd8df51579c9ae7a706cfc92a7f8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-08-25T02:01:08Z",
    "title_canon_sha256": "cf25c461406f83038b8ed8431824d2e4158b65494a9426979514f74d1b7bfaf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5651",
    "kind": "arxiv",
    "version": 3
  }
}