Pith Number

pith:V5VT6LKM

pith:1996:V5VT6LKMPZFJAJGEBGKHFFN2L4

not attested not anchored not stored refs pending

A Theory of Quantum Error-Correcting Codes

Emanuel Knill, Raymond Laflamme

arxiv:quant-ph/9604034 v1 · 1996-04-26 · 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{V5VT6LKMPZFJAJGEBGKHFFN2L4}

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

Gauss law codes and vacuum codes from lattice gauge theories

Receipt and verification

First computed	2026-07-04T15:36:41.737634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6b3f2d4c7e4a9024c409947295ba5f344cc478eea90cad1a0c03a57b5fdf46

Aliases

arxiv: quant-ph/9604034 · arxiv_version: quant-ph/9604034v1 · doi: 10.48550/arxiv.quant-ph/9604034 · pith_short_12: V5VT6LKMPZFJ · pith_short_16: V5VT6LKMPZFJAJGE · pith_short_8: V5VT6LKM

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/V5VT6LKMPZFJAJGEBGKHFFN2L4 \
  | 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: af6b3f2d4c7e4a9024c409947295ba5f344cc478eea90cad1a0c03a57b5fdf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e521a7b2e7ff1fe1a2a23a98bb46647ced7528783797c65e2e1ee355d643e42",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-04-26T21:39:52Z",
    "title_canon_sha256": "12b957a7636a6f27daaedff169478b1c0f8d91ef468b81e4843e8b1e27121fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9604034",
    "kind": "arxiv",
    "version": 1
  }
}