Pith Number

pith:RYP2PXER

pith:1998:RYP2PXERONYLFVPPI4ZTZBVDIO

not attested not anchored not stored refs pending

Concatenating Decoherence Free Subspaces with Quantum Error Correcting Codes

D.A. Lidar, D. Bacon, K.B. Whaley (UC Berkeley)

arxiv:quant-ph/9809081 v2 · 1998-09-28 · quant-ph · cs.IT · math-ph · math.IT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYP2PXERONYLFVPPI4ZTZBVDIO}

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	2026-05-18T01:05:00.424180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1fa7dc917370b2d5ef47333c86a343aa2dcfb6f12bbbfb6bbfbe936b34606e

Aliases

arxiv: quant-ph/9809081 · arxiv_version: quant-ph/9809081v2 · doi: 10.48550/arxiv.quant-ph/9809081 · pith_short_12: RYP2PXERONYL · pith_short_16: RYP2PXERONYLFVPP · pith_short_8: RYP2PXER

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/RYP2PXERONYLFVPPI4ZTZBVDIO \
  | 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: 8e1fa7dc917370b2d5ef47333c86a343aa2dcfb6f12bbbfb6bbfbe936b34606e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002bfa8c20830194079635b14890ee3658c8da4b1bf8738e53084219d3d31409",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-09-28T02:08:00Z",
    "title_canon_sha256": "7c893271acf4669ecbb093feb4f8962760c2129ab6929d3f3dfb6afcb22c7ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9809081",
    "kind": "arxiv",
    "version": 2
  }
}