Pith Number

pith:F4MDCHWV

pith:2019:F4MDCHWVNSR45VGOSA5HUVGKUH

not attested not anchored not stored refs pending

Lattice models that realize $\mathbb{Z}_n$-1-symmetry protected topological states for even $n$

Lokman Tsui, Xiao-Gang Wen

arxiv:1908.02613 v2 · 2019-08-06 · cond-mat.str-el · hep-th · math-ph · math.MP · 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{F4MDCHWVNSR45VGOSA5HUVGKUH}

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

2 papers in Pith

Onsiteability of Higher-Form Symmetries

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates

Receipt and verification

First computed	2026-07-05T00:33:14.911924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f18311ed56ca3ced4ce903a7a54caa1f7ea14956ed2eee44dc117ad2ec752a8

Aliases

arxiv: 1908.02613 · arxiv_version: 1908.02613v2 · doi: 10.48550/arxiv.1908.02613 · pith_short_12: F4MDCHWVNSR4 · pith_short_16: F4MDCHWVNSR45VGO · pith_short_8: F4MDCHWV

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/F4MDCHWVNSR45VGOSA5HUVGKUH \
  | 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: 2f18311ed56ca3ced4ce903a7a54caa1f7ea14956ed2eee44dc117ad2ec752a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1d42c49b92e9aac6d560759f1f47cf0ad805998e0f8060a93778801c6b357d7",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2019-08-06T17:59:14Z",
    "title_canon_sha256": "ff0afaf745fc4656cc6e3cdabe6994c1b5d9a58ec8a5d181d81905be423f16f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02613",
    "kind": "arxiv",
    "version": 2
  }
}