Pith Number

pith:CLIAJ567

pith:1996:CLIAJ567TOWDHPXS5MGZIRLC5Q

not attested not anchored not stored refs pending

Quantum Error Correction via Codes over GF(4)

((1) AT&T Research, (2) Institute for Defense Analyses), A. R. Calderbank (1), E. M Rains (2), N. J. A. Sloane (1), P. W. Shor (1)

arxiv:quant-ph/9608006 v5 · 1996-08-06 · 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{CLIAJ567TOWDHPXS5MGZIRLC5Q}

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

5 papers in Pith

Fast and Parallel High-Rate STAR Architecture for Megaquop Quantum Simulation

Fault-Tolerant QLDPC Syndrome Measurement via LDGM Encoding

Preparation Circuits for Matrix Product States by Classical Variational Disentanglement

Lower overhead fault-tolerant building blocks for noisy quantum computers

Stabilizer Codes and Quantum Error Correction

Receipt and verification

First computed	2026-07-04T15:07:57.869834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d004f7df9bac33bef2eb0d944562ec0db119eb2cf5cb45abaa41e9145f68fc

Aliases

arxiv: quant-ph/9608006 · arxiv_version: quant-ph/9608006v5 · doi: 10.48550/arxiv.quant-ph/9608006 · pith_short_12: CLIAJ567TOWD · pith_short_16: CLIAJ567TOWDHPXS · pith_short_8: CLIAJ567

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/CLIAJ567TOWDHPXS5MGZIRLC5Q \
  | 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: 12d004f7df9bac33bef2eb0d944562ec0db119eb2cf5cb45abaa41e9145f68fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ffe337a93ad76d03d09d3b0de25644fe98b260833e9794e117cd4e4664f222",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-08-06T18:13:19Z",
    "title_canon_sha256": "8cf0c46262fd9c29591ad50240318f7165660695a1b2fb4119ceeae7b7e6d881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9608006",
    "kind": "arxiv",
    "version": 5
  }
}