Pith Number

pith:SC6D5G2F

pith:2011:SC6D5G2FY5S23SPEZU6H5KYVNY

not attested not anchored not stored refs pending

On two-qubit states ordering with quantum discords

Ma{\l}gorzata Okrasa, Zbigniew Walczak

arxiv:1109.4132 v3 · 2011-09-19 · quant-ph · cond-mat.stat-mech · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SC6D5G2FY5S23SPEZU6H5KYVNY}

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	2026-05-18T03:51:02.298451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90bc3e9b45c765adc9e4cd3c7eab156e346fa4310d70f57aaa4da992b9d2439f

Aliases

arxiv: 1109.4132 · arxiv_version: 1109.4132v3 · doi: 10.48550/arxiv.1109.4132 · pith_short_12: SC6D5G2FY5S2 · pith_short_16: SC6D5G2FY5S23SPE · pith_short_8: SC6D5G2F

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/SC6D5G2FY5S23SPEZU6H5KYVNY \
  | 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: 90bc3e9b45c765adc9e4cd3c7eab156e346fa4310d70f57aaa4da992b9d2439f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538412126fcc7bf7e062e82e416eb4b4dab6fa6c44125cc5701bcf34eeb796dc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-19T19:38:03Z",
    "title_canon_sha256": "7c15167a47a7da1a6da40f9ac1c4a0dd4a81186c8bf37058e5fa3dc6d5fb0e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4132",
    "kind": "arxiv",
    "version": 3
  }
}