Pith Number

pith:6FZDA2KX

pith:2010:6FZDA2KXKE3YH32IB5WYJRWRYP

not attested not anchored not stored refs pending

Additivity and non-additivity of multipartite entanglement measures

Huangjun Zhu, Lin Chen, Masahito Hayashi

arxiv:1002.2511 v5 · 2010-02-12 · 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{6FZDA2KXKE3YH32IB5WYJRWRYP}

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	2026-05-18T02:24:38.925346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f172306957513783ef480f6d84c6d1c3f7b44acb34453526b24ce3575ff6ebd7

Aliases

arxiv: 1002.2511 · arxiv_version: 1002.2511v5 · doi: 10.48550/arxiv.1002.2511 · pith_short_12: 6FZDA2KXKE3Y · pith_short_16: 6FZDA2KXKE3YH32I · pith_short_8: 6FZDA2KX

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/6FZDA2KXKE3YH32IB5WYJRWRYP \
  | 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: f172306957513783ef480f6d84c6d1c3f7b44acb34453526b24ce3575ff6ebd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192883a4281eca02a70d37f112851b6b1fba89562d2179739f3cc0e7cc9d7e1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-12T10:20:29Z",
    "title_canon_sha256": "e1adf5d2f03eced4090241986ade05c703a5b66685911f1f11a89b78eec77448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2511",
    "kind": "arxiv",
    "version": 5
  }
}