Pith Number

pith:X5IAF4ON

pith:2019:X5IAF4ONS3XBUHQAPQO57LYSXM

not attested not anchored not stored refs pending

Lower bounds on the non-Clifford resources for quantum computations

Earl Campbell, Mark Howard, Michael Beverland, Vadym Kliuchnikov

arxiv:1904.01124 v2 · 2019-04-01 · 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{X5IAF4ONS3XBUHQAPQO57LYSXM}

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

5 papers in Pith

Magic Gate Teleportation: Structure, Useful Resource States, and Simpler Feedforward

Asymptotic magic state distillation with almost linear rate

Benchmarking a machine-learning differential equations solver on a neutral-atom logical processor

Magic state cultivation: growing T states as cheap as CNOT gates

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Receipt and verification

First computed	2026-07-05T03:52:52.747938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5002f1cd96ee1a1e007c1ddfaf12bb0e1f9bb5be08dfaa98c1be4ec3a1af7c

Aliases

arxiv: 1904.01124 · arxiv_version: 1904.01124v2 · doi: 10.48550/arxiv.1904.01124 · pith_short_12: X5IAF4ONS3XB · pith_short_16: X5IAF4ONS3XBUHQA · pith_short_8: X5IAF4ON

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/X5IAF4ONS3XBUHQAPQO57LYSXM \
  | 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: bf5002f1cd96ee1a1e007c1ddfaf12bb0e1f9bb5be08dfaa98c1be4ec3a1af7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f94c600fdbd79706f89b13bb34f91a6c2fd7b3995c1fa3a0a7a549aae5f7f939",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-04-01T21:57:16Z",
    "title_canon_sha256": "e52dd375209395272806ac58da1c83bb72718a9cf3c8ba7922d0aa77ed0979db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01124",
    "kind": "arxiv",
    "version": 2
  }
}