Pith Number

pith:CWE6WOGQ

pith:2011:CWE6WOGQDXEJ4HTXWMOBMZBSQ3

not attested not anchored not stored refs pending

Nullity of quantum discord of two-qubit X-state systems

Gao-Xiang Li, Zbigniew Ficek, Zhen Yi

arxiv:1101.4983 v1 · 2011-01-26 · 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{CWE6WOGQDXEJ4HTXWMOBMZBSQ3}

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	2026-05-18T04:30:47.072513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1589eb38d01dc89e1e77b31c16643286d20686fc840cf4e80ae37306efb8e9e3

Aliases

arxiv: 1101.4983 · arxiv_version: 1101.4983v1 · doi: 10.48550/arxiv.1101.4983 · pith_short_12: CWE6WOGQDXEJ · pith_short_16: CWE6WOGQDXEJ4HTX · pith_short_8: CWE6WOGQ

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/CWE6WOGQDXEJ4HTXWMOBMZBSQ3 \
  | 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: 1589eb38d01dc89e1e77b31c16643286d20686fc840cf4e80ae37306efb8e9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cce6ed1b4011a4ca62dbb6653cb3b8ce1d7e983cf44bdb53772dbd0697d1b67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-26T01:28:49Z",
    "title_canon_sha256": "bb00d54ab15a671c24eb83db48a1034b9fe110f040466b2aabf1b272726cc32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4983",
    "kind": "arxiv",
    "version": 1
  }
}