Pith Number

pith:F4WTA3FQ

pith:2025:F4WTA3FQKPX3SMXHZ326HZGE3U

not attested not anchored not stored refs pending

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability

Rui-Dong Zhu

arxiv:2509.01853 v1 · 2025-09-02 · hep-th · cond-mat.stat-mech · math-ph · math.MP · nlin.SI · 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{F4WTA3FQKPX3SMXHZ326HZGE3U}

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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

Hilbert Space Fragmentation from Generalized Symmetries

Receipt and verification

First computed	2026-07-05T12:03:09.970187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2d306cb053efb932e7cef5e3e4c4dd3ba8251747d654b7e9770f422ff4f702

Aliases

arxiv: 2509.01853 · arxiv_version: 2509.01853v1 · doi: 10.48550/arxiv.2509.01853 · pith_short_12: F4WTA3FQKPX3 · pith_short_16: F4WTA3FQKPX3SMXH · pith_short_8: F4WTA3FQ

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/F4WTA3FQKPX3SMXHZ326HZGE3U \
  | 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: 2f2d306cb053efb932e7cef5e3e4c4dd3ba8251747d654b7e9770f422ff4f702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ace87f95f63ae60310998082272350585bd21c89a8178c24290b17712f7be2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-02T00:40:56Z",
    "title_canon_sha256": "4b49508aafb0ced2aa2e70dd5d8577a88e6e91889ed2093e8db9a777d32a16e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01853",
    "kind": "arxiv",
    "version": 1
  }
}