Pith Number

pith:VK6P7UEU

pith:2026:VK6P7UEUCJGZ6XVWXWLWE7SXJP

not attested not anchored not stored refs pending

Efficient Magic State Cultivation for $\sqrt{T}$ Gates

Andrew Sornborger, I-Chi Chen, Matheus da Silva Fonseca

arxiv:2606.10430 v1 · 2026-06-09 · 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{VK6P7UEUCJGZ6XVWXWLWE7SXJP}

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.

Cited by

1 paper in Pith

Cultivating logical catalysts for fault-tolerant dyadic phase rotations

Receipt and verification

First computed	2026-06-10T01:10:18.535307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aabcffd094124d9f5eb6bd97627e574be0d7bd54e4b75db466a41cd2acb63b32

Aliases

arxiv: 2606.10430 · arxiv_version: 2606.10430v1 · doi: 10.48550/arxiv.2606.10430 · pith_short_12: VK6P7UEUCJGZ · pith_short_16: VK6P7UEUCJGZ6XVW · pith_short_8: VK6P7UEU

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/VK6P7UEUCJGZ6XVWXWLWE7SXJP \
  | 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: aabcffd094124d9f5eb6bd97627e574be0d7bd54e4b75db466a41cd2acb63b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b605c1c3a7ba79db20ea6650a4b586637e6948a3eaa0490b46d9eca4a2caa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-09T05:14:50Z",
    "title_canon_sha256": "5e11724aa73f7fb3455207362e30458dfd12659d35e1c4cd92282e7847bbe815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10430",
    "kind": "arxiv",
    "version": 1
  }
}