Pith Number

pith:GR5K4Q3Z

pith:2005:GR5K4Q3ZWVMAXZEVW2GJKYQXUR

not attested not anchored not stored refs pending

Quantum Error Correcting Codes From The Compression Formalism

David W. Kribs, Karol Zyczkowski, Man-Duen Choi

arxiv:quant-ph/0511101 v2 · 2005-11-10 · quant-ph · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR5K4Q3ZWVMAXZEVW2GJKYQXUR}

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	2026-07-04T16:58:12.398780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347aae4379b5580be495b68c956217a44195d3077d60d75c7f5b96e65903a21f

Aliases

arxiv: quant-ph/0511101 · arxiv_version: quant-ph/0511101v2 · doi: 10.48550/arxiv.quant-ph/0511101 · pith_short_12: GR5K4Q3ZWVMA · pith_short_16: GR5K4Q3ZWVMAXZEV · pith_short_8: GR5K4Q3Z

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/GR5K4Q3ZWVMAXZEVW2GJKYQXUR \
  | 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: 347aae4379b5580be495b68c956217a44195d3077d60d75c7f5b96e65903a21f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79922fa500c12df80854c52c95d0c4e1b8b5dac5f0e795873d23cc47e49feded",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-11-10T19:15:33Z",
    "title_canon_sha256": "f1b008ac5db3799d6547248ea446911bf4680a0a1346e8388c2a1af156e1dea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0511101",
    "kind": "arxiv",
    "version": 2
  }
}