Pith Number

pith:YXK5ZOTC

pith:2025:YXK5ZOTC2SRUVIW3HO2N2QXAYZ

not attested not anchored not stored refs pending

Growing Sparse Quantum Codes from a Seed

Brad Lackey, ChunJun Cao

arxiv:2507.13496 v1 · 2025-07-17 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXK5ZOTC2SRUVIW3HO2N2QXAYZ}

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	2026-07-05T11:39:18.297183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d5dcba62d4a34aa2db3bb4dd42e0c6484660d9cafb2f3130d95ea8a74eb9e3

Aliases

arxiv: 2507.13496 · arxiv_version: 2507.13496v1 · doi: 10.48550/arxiv.2507.13496 · pith_short_12: YXK5ZOTC2SRU · pith_short_16: YXK5ZOTC2SRUVIW3 · pith_short_8: YXK5ZOTC

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/YXK5ZOTC2SRUVIW3HO2N2QXAYZ \
  | 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: c5d5dcba62d4a34aa2db3bb4dd42e0c6484660d9cafb2f3130d95ea8a74eb9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0324e8cec6fe460a22a875fa4fe5460e92e895efeda970b4352b62abce44e26",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-17T19:05:52Z",
    "title_canon_sha256": "5971cccc51bd6213f1e56979029432a3cb434b92236ff9f8818883d2ef6162ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13496",
    "kind": "arxiv",
    "version": 1
  }
}