Pith Number

pith:RRQWGCRY

pith:2020:RRQWGCRY2XRFYBEARMPCEB3KSH

not attested not anchored not stored refs pending

Optimal Universal Quantum Error Correction via Bounded Reference Frames

Giulio Chiribella, Joseph M. Renes, Mischa P. Woods, Yin Mo, Yuxiang Yang

arxiv:2007.09154 v2 · 2020-07-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRQWGCRY2XRFYBEARMPCEB3KSH}

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	2026-07-05T04:33:17.729388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c61630a38d5e25c04808b1e22076a91ca1e8b9d1d57b1c09bb87e7b75b46eab

Aliases

arxiv: 2007.09154 · arxiv_version: 2007.09154v2 · doi: 10.48550/arxiv.2007.09154 · pith_short_12: RRQWGCRY2XRF · pith_short_16: RRQWGCRY2XRFYBEA · pith_short_8: RRQWGCRY

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/RRQWGCRY2XRFYBEARMPCEB3KSH \
  | 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: 8c61630a38d5e25c04808b1e22076a91ca1e8b9d1d57b1c09bb87e7b75b46eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842006e26d34b795548b4efbdc50c92030a2250a1e480eb384feb80a5d346d54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-07-17T18:00:03Z",
    "title_canon_sha256": "213be4e57061f3acf8a0c730a94344062ad6cd449901bfa054821273f7aec2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09154",
    "kind": "arxiv",
    "version": 2
  }
}