Pith Number

pith:SD7RMIYK

pith:2026:SD7RMIYKCF5FAIBCKR3U4FXIHO

not attested not anchored not stored refs pending

Duality constrains optimal thresholds in quantum error correction

Basudha Srivastava, Dominic J. Williamson, Haoyuan Luo, Lucas H. English, Stephen D. Bartlett, Yangming Wang

arxiv:2607.21160 v1 · 2026-07-23 · 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{SD7RMIYKCF5FAIBCKR3U4FXIHO}

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	2026-07-24T01:23:56.356660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ff16230a117a50202254774e16e83ba6b341b85f7eaa7a298c291ebf70117d

Aliases

arxiv: 2607.21160 · arxiv_version: 2607.21160v1 · doi: 10.48550/arxiv.2607.21160 · pith_short_12: SD7RMIYKCF5F · pith_short_16: SD7RMIYKCF5FAIBC · pith_short_8: SD7RMIYK

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/SD7RMIYKCF5FAIBCKR3U4FXIHO \
  | 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: 90ff16230a117a50202254774e16e83ba6b341b85f7eaa7a298c291ebf70117d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4331c683c4e67efaa09d891edcca9d9cb2ae94a68b3cb42eae4f0e467462bbb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-23T10:42:57Z",
    "title_canon_sha256": "bb09a1af7169dfb6dd890eda26b062e37511785934f5e94b2f6c7593f5e271c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21160",
    "kind": "arxiv",
    "version": 1
  }
}