Pith Number

pith:Z23TSZ5I

pith:2011:Z23TSZ5I262L5Q7IK4OSTEMJSX

not attested not anchored not stored refs pending

Circulant states with vanishing quantum discord

Bogna Bylicka, Dariusz Chru\'sci\'nski

arxiv:1104.1804 v1 · 2011-04-10 · 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{Z23TSZ5I262L5Q7IK4OSTEMJSX}

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	2026-05-18T03:26:39.718310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb73967a8d7b4bec3e8571d29918995eccbbdeb48b97a8fd7cac50f2ca42038

Aliases

arxiv: 1104.1804 · arxiv_version: 1104.1804v1 · doi: 10.48550/arxiv.1104.1804 · pith_short_12: Z23TSZ5I262L · pith_short_16: Z23TSZ5I262L5Q7I · pith_short_8: Z23TSZ5I

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/Z23TSZ5I262L5Q7IK4OSTEMJSX \
  | 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: ceb73967a8d7b4bec3e8571d29918995eccbbdeb48b97a8fd7cac50f2ca42038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483002b0cf3d96eef0f162f0525e5b5102fa9fc664f1b10d92489e07c3953091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-10T21:15:09Z",
    "title_canon_sha256": "2370685d1028494c1af6776b378b97701c3ba896d34abf8764775036f856bebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1804",
    "kind": "arxiv",
    "version": 1
  }
}