Pith Number

pith:JZ2UP7WV

pith:1997:JZ2UP7WVUPLRP6REUA2PLE7N5Y

not attested not anchored not stored refs pending

Information-theoretic interpretation of quantum error-correcting codes

Nicolas J. Cerf (Caltech), Richard Cleve (Univ. of Calgary)

arxiv:quant-ph/9702031 v2 · 1997-02-13 · 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{JZ2UP7WVUPLRP6REUA2PLE7N5Y}

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

1 paper in Pith

Stabilizer Codes and Quantum Error Correction

Receipt and verification

First computed	2026-07-04T15:34:53.390005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7547fed5a3d717fa24a034f593edee2aceaf00ae2a3614566610ba055de0b1

Aliases

arxiv: quant-ph/9702031 · arxiv_version: quant-ph/9702031v2 · doi: 10.48550/arxiv.quant-ph/9702031 · pith_short_12: JZ2UP7WVUPLR · pith_short_16: JZ2UP7WVUPLRP6RE · pith_short_8: JZ2UP7WV

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/JZ2UP7WVUPLRP6REUA2PLE7N5Y \
  | 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: 4e7547fed5a3d717fa24a034f593edee2aceaf00ae2a3614566610ba055de0b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa4590e69819e67f4fcfb9fe32a8e066cfc5284b57d3ef721abd1200b237242",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-02-13T22:50:21Z",
    "title_canon_sha256": "759187130ea567fce7f2ebac30de79a33847a170e6f09c91d746b4f4f3134e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9702031",
    "kind": "arxiv",
    "version": 2
  }
}