Pith Number

pith:JP4TJQ4R

pith:2011:JP4TJQ4R4IOANUCJ2325C3DGPD

not attested not anchored not stored refs pending

Quantum discord of two-qubit X-states

Chengjie Zhang, C.H. Oh, Qing Chen, Sixia Yu, X.X. Yi

arxiv:1102.0181 v2 · 2011-02-01 · 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{JP4TJQ4R4IOANUCJ2325C3DGPD}

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	2026-05-18T04:11:31.796971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf934c391e21c06d049d6f5d16c6678d37552123e8dfeb1617ff10036f500e5

Aliases

arxiv: 1102.0181 · arxiv_version: 1102.0181v2 · doi: 10.48550/arxiv.1102.0181 · pith_short_12: JP4TJQ4R4IOA · pith_short_16: JP4TJQ4R4IOANUCJ · pith_short_8: JP4TJQ4R

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/JP4TJQ4R4IOANUCJ2325C3DGPD \
  | 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: 4bf934c391e21c06d049d6f5d16c6678d37552123e8dfeb1617ff10036f500e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168787253551d24302d5c32768da515d2018cb646592e1c387438b7a79b4ea98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-01T15:29:11Z",
    "title_canon_sha256": "de4b7d3f250803114fb57175aa0820cd4dd08e574c9fc0552e468eeb94e8667e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0181",
    "kind": "arxiv",
    "version": 2
  }
}