Pith Number

pith:5UZLHH2V

pith:2000:5UZLHH2VNZVUI6DQGMW4FN2FZO

not attested not anchored not stored refs pending

Nonbinary Quantum Stabilizer Codes

Alexei Ashikhmin, Emanuel Knill

arxiv:quant-ph/0005008 v1 · 2000-05-01 · 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{5UZLHH2VNZVUI6DQGMW4FN2FZO}

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

2 papers in Pith

A Review of Galois Qudits

Gauss law codes and vacuum codes from lattice gauge theories

Receipt and verification

First computed	2026-07-04T14:45:28.254109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed32b39f556e6b447870332dc2b745cb98363eb2e9f459c6973f82fd1008eb90

Aliases

arxiv: quant-ph/0005008 · arxiv_version: quant-ph/0005008v1 · doi: 10.48550/arxiv.quant-ph/0005008 · pith_short_12: 5UZLHH2VNZVU · pith_short_16: 5UZLHH2VNZVUI6DQ · pith_short_8: 5UZLHH2V

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/5UZLHH2VNZVUI6DQGMW4FN2FZO \
  | 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: ed32b39f556e6b447870332dc2b745cb98363eb2e9f459c6973f82fd1008eb90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c929c2f6f68188362ad6e630a00612f33d403fed26f930f776652a16a71b12d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-05-01T18:31:46Z",
    "title_canon_sha256": "3ada8ae0a988ed799c6d68276c999c2876f59336de8788bac71a581913b120c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0005008",
    "kind": "arxiv",
    "version": 1
  }
}