Pith Number

pith:WPXUSU23

pith:2015:WPXUSU23D2D4KFWJ24IHG6JR5P

not attested not anchored not stored refs pending

Hilbert-Schmidt measure of pairwise quantum discord for three-qubit $X$ states

M. Daoud, R. Ahl Laamara, S. Seddik

arxiv:1512.01772 v1 · 2015-12-06 · 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{WPXUSU23D2D4KFWJ24IHG6JR5P}

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	2026-05-18T01:22:32.538460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ef49535b1e87c516c9d710737931ebe88da071968caa4986ad379ffa3273ed

Aliases

arxiv: 1512.01772 · arxiv_version: 1512.01772v1 · doi: 10.48550/arxiv.1512.01772 · pith_short_12: WPXUSU23D2D4 · pith_short_16: WPXUSU23D2D4KFWJ · pith_short_8: WPXUSU23

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/WPXUSU23D2D4KFWJ24IHG6JR5P \
  | 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: b3ef49535b1e87c516c9d710737931ebe88da071968caa4986ad379ffa3273ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35df2bd2ff0fd67f2e2167f76c76a78605e6b6cc427b4e660230957a33d5373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-06T10:52:10Z",
    "title_canon_sha256": "767ed25591ac1da54d7c5713f1ee8d9c1499aa507d608ae8f124d15b7b670fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01772",
    "kind": "arxiv",
    "version": 1
  }
}