Pith Number

pith:SNSF43JX

pith:2026:SNSF43JXAFYEA4PEQQYQRDKTOE

not attested not anchored not stored refs pending

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap

Haoran Zhu, Yanying Liang

arxiv:2607.28521 v1 · 2026-07-30 · quant-ph · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNSF43JXAFYEA4PEQQYQRDKTOE}

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	2026-07-31T01:38:24.358513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

93645e6d3701704071e48431088d5371286cdc8a4428a85af00977fb16fa9422

Aliases

arxiv: 2607.28521 · arxiv_version: 2607.28521v1 · doi: 10.48550/arxiv.2607.28521 · pith_short_12: SNSF43JXAFYE · pith_short_16: SNSF43JXAFYEA4PE · pith_short_8: SNSF43JX

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/SNSF43JXAFYEA4PEQQYQRDKTOE \
  | 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: 93645e6d3701704071e48431088d5371286cdc8a4428a85af00977fb16fa9422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bfb3a53d3199ffaf0b6c0980bfce0624d6686629f62a0bbc4421058f028efd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-30T16:59:10Z",
    "title_canon_sha256": "466239c047dd5baf0c20cf04bdef66b3408cc8569b84f3bb0e7ebf2e18a0427e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28521",
    "kind": "arxiv",
    "version": 1
  }
}