Pith Number

pith:77AGGUVK

pith:1997:77AGGUVKHHEGN5AN7PIVK4U6NL

not attested not anchored not stored refs pending

Approximate quantum error correction can lead to better codes

D. W. Leung, I. L. Chuang, M. A. Nielsen, Y. Yamamoto

arxiv:quant-ph/9704002 v1 · 1997-04-02 · 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{77AGGUVKHHEGN5AN7PIVK4U6NL}

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	2026-07-04T15:34:53.431827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc06352aa39c866f40dfbd155729e6ac7f894ed3463c4bf7a3cc66e6da90e4b

Aliases

arxiv: quant-ph/9704002 · arxiv_version: quant-ph/9704002v1 · doi: 10.48550/arxiv.quant-ph/9704002 · pith_short_12: 77AGGUVKHHEG · pith_short_16: 77AGGUVKHHEGN5AN · pith_short_8: 77AGGUVK

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/77AGGUVKHHEGN5AN7PIVK4U6NL \
  | 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: ffc06352aa39c866f40dfbd155729e6ac7f894ed3463c4bf7a3cc66e6da90e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81783ef1cc56b17b8bdc589970f42f9bc1bcf162c0fd4cc4817b14e165537298",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-04-02T06:38:07Z",
    "title_canon_sha256": "89918e4450c51d28579ac4d4d6ae014c86964019e15d1f112f55f8cd5debddae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9704002",
    "kind": "arxiv",
    "version": 1
  }
}