Pith Number

pith:6AMWRIJK

pith:2026:6AMWRIJKRVM4IORN4NZRXGUTM2

not attested not anchored not stored refs pending

Efficient Graph State Purification with Factorized Graph-Preserving Operations across Local Clifford Orbits

Guus Avis, Kenneth Goodenough, Mingyuan Wang, Stefan Krastanov

arxiv:2606.23809 v1 · 2026-06-22 · 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{6AMWRIJKRVM4IORN4NZRXGUTM2}

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	2026-06-24T00:14:27.530159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01968a12a8d59c43a2de3731b9a936694429a27c8e7fcd8c4bb4305e24c5fcd

Aliases

arxiv: 2606.23809 · arxiv_version: 2606.23809v1 · doi: 10.48550/arxiv.2606.23809 · pith_short_12: 6AMWRIJKRVM4 · pith_short_16: 6AMWRIJKRVM4IORN · pith_short_8: 6AMWRIJK

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/6AMWRIJKRVM4IORN4NZRXGUTM2 \
  | 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: f01968a12a8d59c43a2de3731b9a936694429a27c8e7fcd8c4bb4305e24c5fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742f1a4e278e3674c2df20d0a7c6d576412ddccfb623bc465a8cd6bd54ec0381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-22T18:00:18Z",
    "title_canon_sha256": "ab512517e57bf4ec8ce57a363bc4cba7bf221e3779dfce56c4d2e6d97713f255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23809",
    "kind": "arxiv",
    "version": 1
  }
}