Pith Number

pith:MMX26XOV

pith:2014:MMX26XOVCYBO3GIEOVRL3NRGR5

not attested not anchored not stored refs pending

Qubits, Weyl spinors, quantum NOT gates, and dynamical decoupling

R. Romero

arxiv:1412.1158 v2 · 2014-12-03 · quant-ph · 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{MMX26XOVCYBO3GIEOVRL3NRGR5}

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	2026-05-18T02:28:31.218454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632faf5dd51602ed99047562bdb6268f4d777739ce7ba251488ef108b2ed2804

Aliases

arxiv: 1412.1158 · arxiv_version: 1412.1158v2 · doi: 10.48550/arxiv.1412.1158 · pith_short_12: MMX26XOVCYBO · pith_short_16: MMX26XOVCYBO3GIE · pith_short_8: MMX26XOV

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/MMX26XOVCYBO3GIEOVRL3NRGR5 \
  | 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: 632faf5dd51602ed99047562bdb6268f4d777739ce7ba251488ef108b2ed2804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6250ca4a63d3aeac53c8eabb0b754c4a5fe34491e607e92b7e11092746c9a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-03T01:59:04Z",
    "title_canon_sha256": "97506b9f55557e84976a9a76b3fb46c7fdb7677a28677bbab080fc2e981d3849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1158",
    "kind": "arxiv",
    "version": 2
  }
}