Pith Number

pith:CWOSNCGZ

pith:2026:CWOSNCGZMRRIRFCGAVDUDRIUUY

not attested not anchored not stored refs pending

Algebra of Bivariate-Bicycle Surface Codes

Leonid P. Pryadko, Renyu Wang

arxiv:2606.08771 v1 · 2026-06-07 · 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{CWOSNCGZMRRIRFCGAVDUDRIUUY}

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	2026-06-09T02:07:38.494795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159d2688d96462889446054741c514a62d650cf890b627d0ab79b5c501cd35af

Aliases

arxiv: 2606.08771 · arxiv_version: 2606.08771v1 · doi: 10.48550/arxiv.2606.08771 · pith_short_12: CWOSNCGZMRRI · pith_short_16: CWOSNCGZMRRIRFCG · pith_short_8: CWOSNCGZ

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/CWOSNCGZMRRIRFCGAVDUDRIUUY \
  | 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: 159d2688d96462889446054741c514a62d650cf890b627d0ab79b5c501cd35af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5274d2df4f6d060e1b379e19e085b78c15fafae5c9e969fbc7c0a7a529e810d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-07T18:24:32Z",
    "title_canon_sha256": "feba1fb77b1af7ca0fd1a7eef5b00f100c73333833e1deb57221bb4095c06b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08771",
    "kind": "arxiv",
    "version": 1
  }
}