Pith Number

pith:5V3NOJUW

pith:2025:5V3NOJUWIHZG3RUTPPXYJHUZ2A

not attested not anchored not stored refs pending

Union-Intersection Union-Find for Decoding Depolarizing Errors in Topological Codes

Ching-Yi Lai, Tzu-Hao Lin

arxiv:2506.14745 v1 · 2025-06-17 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V3NOJUWIHZG3RUTPPXYJHUZ2A}

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	2026-07-05T11:35:14.620617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed76d7269641f26dc6937bef849e99d03b34fb514ffe274e81b6a4a09221b0ad

Aliases

arxiv: 2506.14745 · arxiv_version: 2506.14745v1 · doi: 10.48550/arxiv.2506.14745 · pith_short_12: 5V3NOJUWIHZG · pith_short_16: 5V3NOJUWIHZG3RUT · pith_short_8: 5V3NOJUW

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/5V3NOJUWIHZG3RUTPPXYJHUZ2A \
  | 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: ed76d7269641f26dc6937bef849e99d03b34fb514ffe274e81b6a4a09221b0ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3043ba22fe6d7136841526331d126118ddd3e1201c8a22ac758463b11dbb11cc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-17T17:30:14Z",
    "title_canon_sha256": "52a9ee3edeed490d23e6aafa56e1377506694b3ce6d423a635b1a5ca569f8057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14745",
    "kind": "arxiv",
    "version": 1
  }
}