Pith Number

pith:FRMJMAEO

pith:2026:FRMJMAEOO2NS32COCZD5NZ5M6T

not attested not anchored not stored refs pending

Concatenating Algebraic Codes over High-Rate Quantum LDPC Codes

Adam Wills, Andrew W. Cross, Jay M. Gambetta, Lev S. Bishop, Michael E. Beverland, Patrick Rall, Vikesh Siddhu

arxiv:2605.21898 v1 · 2026-05-21 · 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{FRMJMAEOO2NS32COCZD5NZ5M6T}

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	2026-05-22T01:04:13.555160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5896008e769b2de84e1647d6e7acf4d6a4a196d18d9869ed486c5fd94001c9

Aliases

arxiv: 2605.21898 · arxiv_version: 2605.21898v1 · doi: 10.48550/arxiv.2605.21898 · pith_short_12: FRMJMAEOO2NS · pith_short_16: FRMJMAEOO2NS32CO · pith_short_8: FRMJMAEO

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/FRMJMAEOO2NS32COCZD5NZ5M6T \
  | 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: 2c5896008e769b2de84e1647d6e7acf4d6a4a196d18d9869ed486c5fd94001c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf573dc70ea63a880735869f1287fde875e655173a02f6159d4df135c7f5917",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-21T02:12:36Z",
    "title_canon_sha256": "92ef84e24c37f8714fa6b42260f72db00c723511d42b82c47314ab0445504614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21898",
    "kind": "arxiv",
    "version": 1
  }
}