Pith Number

pith:VSXSZK3N

pith:2026:VSXSZK3N2TMQLSXJIEVPODW44Q

not attested not anchored not stored refs pending

State $k$-designs from Hamiltonian evolution

Shengxian Hou, Zhi-Cheng Yang, Zong-Yue Hou

arxiv:2607.18537 v1 · 2026-07-20 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSXSZK3N2TMQLSXJIEVPODW44Q}

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	2026-07-22T00:22:53.260536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acaf2cab6dd4d905cae9412af70edce4157d9763b4c7334fa4d1e99f8d703183

Aliases

arxiv: 2607.18537 · arxiv_version: 2607.18537v1 · doi: 10.48550/arxiv.2607.18537 · pith_short_12: VSXSZK3N2TMQ · pith_short_16: VSXSZK3N2TMQLSXJ · pith_short_8: VSXSZK3N

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/VSXSZK3N2TMQLSXJIEVPODW44Q \
  | 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: acaf2cab6dd4d905cae9412af70edce4157d9763b4c7334fa4d1e99f8d703183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc0e8f020a5ddf2722cf73fa5c8b7c3b027f7d53405389dee7198464205d5b10",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-20T22:04:54Z",
    "title_canon_sha256": "dc948a2168dd47b4251a14c123d2f22e67bea0d48d1e2df1bd5e52820d9b2543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18537",
    "kind": "arxiv",
    "version": 1
  }
}