Pith Number

pith:ZDOYWT4O

pith:2014:ZDOYWT4O7BKDMDNEMRAKP2WEZE

not attested not anchored not stored refs pending

Private quantum codes: introduction and connection with higher rank numerical ranges

D. W. Kribs, S. Plosker

arxiv:1407.1350 v1 · 2014-07-05 · math.OA · 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{ZDOYWT4O7BKDMDNEMRAKP2WEZE}

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	2026-05-18T02:48:16.761975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8dd8b4f8ef854360da46440a7eac4c9199bd4633c3fb8218f91b3688ce1893b

Aliases

arxiv: 1407.1350 · arxiv_version: 1407.1350v1 · doi: 10.48550/arxiv.1407.1350 · pith_short_12: ZDOYWT4O7BKD · pith_short_16: ZDOYWT4O7BKDMDNE · pith_short_8: ZDOYWT4O

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/ZDOYWT4O7BKDMDNEMRAKP2WEZE \
  | 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: c8dd8b4f8ef854360da46440a7eac4c9199bd4633c3fb8218f91b3688ce1893b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6347ccac5d858b5016f8fc8744a3a43bf28604319a89d290bd60410c9090dd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-05T00:56:33Z",
    "title_canon_sha256": "134a9cab7d9cc0ff947a164144df0b08018b5d524cc14bae56aa51ca7f102921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1350",
    "kind": "arxiv",
    "version": 1
  }
}