Pith Number

pith:ZBZ7EB4Z

pith:2011:ZBZ7EB4ZNTPFLJPUB7EEDG3EM4

not attested not anchored not stored refs pending

On the optimal measurement for quantum discord of two-qubit states

Chunxiao Sun, Fengjian Jiang, Jiangfeng Du, Mingjun Shi, Xinhu Yan

arxiv:1110.6681 v1 · 2011-10-31 · 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{ZBZ7EB4ZNTPFLJPUB7EEDG3EM4}

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	2026-05-18T01:59:49.843526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c873f207996cde55a5f40fc8419b64671a1b214099727054e623bbdcea4e7ee1

Aliases

arxiv: 1110.6681 · arxiv_version: 1110.6681v1 · doi: 10.48550/arxiv.1110.6681 · pith_short_12: ZBZ7EB4ZNTPF · pith_short_16: ZBZ7EB4ZNTPFLJPU · pith_short_8: ZBZ7EB4Z

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/ZBZ7EB4ZNTPFLJPUB7EEDG3EM4 \
  | 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: c873f207996cde55a5f40fc8419b64671a1b214099727054e623bbdcea4e7ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd4971df14f0c4b6c5a1cd7dff28b0f1c0fd276d40b3d63fb0a80a15469112a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-31T03:09:36Z",
    "title_canon_sha256": "ca2d7e45f7a8d0da3be65d000124a58ffff2e71829a57a9cf105563bbbe4949e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6681",
    "kind": "arxiv",
    "version": 1
  }
}