Pith Number

pith:VKT33DWT

pith:2004:VKT33DWTESRYCEGTANAYBDBR6W

not attested not anchored not stored refs pending

A simple entanglement measure for multipartite pure states

Dan Liu, Feng Pan, Guoying Lu, J. P. Draayer

arxiv:quant-ph/0405133 v2 · 2004-05-22 · 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{VKT33DWTESRYCEGTANAYBDBR6W}

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	2026-07-04T16:50:18.145957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa7bd8ed324a38110d30341808c31f5bab3b6e6cceac33000dae07debca3c4a

Aliases

arxiv: quant-ph/0405133 · arxiv_version: quant-ph/0405133v2 · doi: 10.48550/arxiv.quant-ph/0405133 · pith_short_12: VKT33DWTESRY · pith_short_16: VKT33DWTESRYCEGT · pith_short_8: VKT33DWT

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/VKT33DWTESRYCEGTANAYBDBR6W \
  | 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: aaa7bd8ed324a38110d30341808c31f5bab3b6e6cceac33000dae07debca3c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c1bb91e283c743b8f2063d19fb81444c7a081f10b80844e60f4d7f0a1e16a32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-05-22T16:28:36Z",
    "title_canon_sha256": "307350c6aa54f68c6756e16cf5c6e67ae5391e53c849ad7c6628725ef355d58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0405133",
    "kind": "arxiv",
    "version": 2
  }
}