Pith Number

pith:TEP7O7K2

pith:2011:TEP7O7K22PTFAMXKX2UJIXCR3R

not attested not anchored not stored refs pending

Calculation of quantum discord for qubit-qudit or N qubits

A. R. P. Rau, Sai Vinjanampathy

arxiv:1106.4488 v1 · 2011-06-22 · 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{TEP7O7K22PTFAMXKX2UJIXCR3R}

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.

Cited by

1 paper in Pith

The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels

Receipt and verification

First computed	2026-05-18T03:57:12.887647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991ff77d5ad3e65032eabea8945c51dc70b3003794d78e87206fdedde1feb576

Aliases

arxiv: 1106.4488 · arxiv_version: 1106.4488v1 · doi: 10.48550/arxiv.1106.4488 · pith_short_12: TEP7O7K22PTF · pith_short_16: TEP7O7K22PTFAMXK · pith_short_8: TEP7O7K2

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/TEP7O7K22PTFAMXKX2UJIXCR3R \
  | 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: 991ff77d5ad3e65032eabea8945c51dc70b3003794d78e87206fdedde1feb576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "195561c296b4a09e0310027ca3eb0ad1d5cf46a4adc9c20e6cd3293f8c7630cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-22T15:57:04Z",
    "title_canon_sha256": "dc2df58f0286576e9fd5552cf1b535a03f4e9b0598c3b8abb6a86eefd8ffd63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4488",
    "kind": "arxiv",
    "version": 1
  }
}