Pith Number

pith:KMSYMNTW

pith:2008:KMSYMNTWLRVFLSV5XOWJDLH76N

not attested not anchored not stored refs pending

Entropy of a quantum error correction code

Aron Pasieka, David W. Kribs, Karol Zyczkowski

arxiv:0811.1621 v1 · 2008-11-11 · 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{KMSYMNTWLRVFLSV5XOWJDLH76N}

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	2026-07-04T15:38:28.770723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53258636765c6a55cabdbbac91acfff34a2293730f0e5fd06d5e20d6ddad5c68

Aliases

arxiv: 0811.1621 · arxiv_version: 0811.1621v1 · doi: 10.48550/arxiv.0811.1621 · pith_short_12: KMSYMNTWLRVF · pith_short_16: KMSYMNTWLRVFLSV5 · pith_short_8: KMSYMNTW

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/KMSYMNTWLRVFLSV5XOWJDLH76N \
  | 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: 53258636765c6a55cabdbbac91acfff34a2293730f0e5fd06d5e20d6ddad5c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce1874b6aa05a7e29023f31f6aa4c87e485e5adc1be1fbdc265ef73960124957",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-11-11T18:16:20Z",
    "title_canon_sha256": "15910b8883d794ece69d26cfa9a63ac6d759c5189f4312f5a7696fd0493851a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1621",
    "kind": "arxiv",
    "version": 1
  }
}