Pith Number

pith:3LRDE7OZ

pith:2011:3LRDE7OZUI4QYQMXPMUN5NRPO3

not attested not anchored not stored refs pending

Geometric measure of quantum discord and the geometry of a class of two-qubit states

Da-Chuang Li, Long-Bao Yu, Ming Yang, Ping Dong, Wei Song, Zhuo-Liang Cao

arxiv:1112.4318 v3 · 2011-12-19 · 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{3LRDE7OZUI4QYQMXPMUN5NRPO3}

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	2026-05-18T03:05:55.178570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae2327dd9a2390c41977b28deb62f76d7531245800d043342a7a2418a840272

Aliases

arxiv: 1112.4318 · arxiv_version: 1112.4318v3 · doi: 10.48550/arxiv.1112.4318 · pith_short_12: 3LRDE7OZUI4Q · pith_short_16: 3LRDE7OZUI4QYQMX · pith_short_8: 3LRDE7OZ

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/3LRDE7OZUI4QYQMXPMUN5NRPO3 \
  | 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: dae2327dd9a2390c41977b28deb62f76d7531245800d043342a7a2418a840272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16009f5692037ab65e8aa77ce231dc455e51ef3fead7bd024993639efc12fdb8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-19T12:37:06Z",
    "title_canon_sha256": "56a78faa932c2d23d6a29b4668d50f407465dbf8c8967a7c74c53e45ebb7636c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4318",
    "kind": "arxiv",
    "version": 3
  }
}