Pith Number

pith:ZCEILG4M

pith:2019:ZCEILG4M64NBTQUXTN2DNOWHCK

not attested not anchored not stored refs pending

On Optimality of CSS Codes for Transversal $T$

Henry D. Pfister, Michael Newman, Narayanan Rengaswamy, Robert Calderbank

arxiv:1910.09333 v3 · 2019-10-21 · 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{ZCEILG4M64NBTQUXTN2DNOWHCK}

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

3 papers in Pith

Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search

Homological origin of transversal implementability of logical diagonal gates in quantum CSS codes

A solvable model of 3d quantum gravity

Receipt and verification

First computed	2026-07-05T03:07:02.567054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c888859b8cf71a19c2979b7436bac712bfb5fb060430b2ae58cee13194380738

Aliases

arxiv: 1910.09333 · arxiv_version: 1910.09333v3 · doi: 10.48550/arxiv.1910.09333 · pith_short_12: ZCEILG4M64NB · pith_short_16: ZCEILG4M64NBTQUX · pith_short_8: ZCEILG4M

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/ZCEILG4M64NBTQUXTN2DNOWHCK \
  | 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: c888859b8cf71a19c2979b7436bac712bfb5fb060430b2ae58cee13194380738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfad27aa1162e67647af124c8dafcaf6d2df5649e1a68fb2e03852547640cc3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-10-21T13:04:32Z",
    "title_canon_sha256": "8e9b03f090ae8bbe93a52f101f4e45b413b866e03a2867c704108da500a5b030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09333",
    "kind": "arxiv",
    "version": 3
  }
}