Pith Number

pith:IWTKL7KV

pith:2019:IWTKL7KVSAASXGHCHIOR6N3CFU

not attested not anchored not stored refs pending

Clifford Quantum Cellular Automata: Trivial group in 2D and Witt group in 3D

Jeongwan Haah

arxiv:1907.02075 v5 · 2019-07-03 · quant-ph · cond-mat.str-el · 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{IWTKL7KVSAASXGHCHIOR6N3CFU}

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

The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise

Receipt and verification

First computed	2026-07-05T04:24:33.183396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a6a5fd5590012b98e23a1d1f37622d39c6d451af344b355013a9fbb34211a8

Aliases

arxiv: 1907.02075 · arxiv_version: 1907.02075v5 · doi: 10.48550/arxiv.1907.02075 · pith_short_12: IWTKL7KVSAAS · pith_short_16: IWTKL7KVSAASXGHC · pith_short_8: IWTKL7KV

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/IWTKL7KVSAASXGHCHIOR6N3CFU \
  | 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: 45a6a5fd5590012b98e23a1d1f37622d39c6d451af344b355013a9fbb34211a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec6475ebf52b7899f7c19f04053deb17c20985d61990e727b01ed1dcd9b3f0d",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-07-03T18:00:03Z",
    "title_canon_sha256": "e12cab0a871f7a48513ff8a0aff92a9407e72e5c57e6ec53eaba56dc9ff41ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02075",
    "kind": "arxiv",
    "version": 5
  }
}