Pith Number

pith:4HMMXUKM

pith:2020:4HMMXUKMMU2PSG3NUKK7FLSM5F

not attested not anchored not stored refs pending

Classification of topological phases with finite internal symmetries in all dimensions

Hao Zheng, Liang Kong, Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang

arxiv:2003.08898 v3 · 2020-03-19 · math-ph · cond-mat.str-el · hep-th · math.CT · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HMMXUKMMU2PSG3NUKK7FLSM5F}

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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

3 papers in Pith

ICTP Lectures on (Non-)Invertible Generalized Symmetries

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata

Constructing Bulk Topological Orders via Layered Gauging

Receipt and verification

First computed	2026-07-05T01:35:29.518826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d8cbd14c6534f91b6da295f2ae4ce960d38cfba69e834e49f5dc3f0391dabf

Aliases

arxiv: 2003.08898 · arxiv_version: 2003.08898v3 · doi: 10.48550/arxiv.2003.08898 · pith_short_12: 4HMMXUKMMU2P · pith_short_16: 4HMMXUKMMU2PSG3N · pith_short_8: 4HMMXUKM

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/4HMMXUKMMU2PSG3NUKK7FLSM5F \
  | 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: e1d8cbd14c6534f91b6da295f2ae4ce960d38cfba69e834e49f5dc3f0391dabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd00bf994bc555a2eae5ccf75aff8d94d5ad3fdaf536fafb08e399b96f7198d",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-03-19T16:56:59Z",
    "title_canon_sha256": "eff6595ffc1f7121cd86700aac8134d1555cee35bd31cc18faaf35a6b0dcb7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.08898",
    "kind": "arxiv",
    "version": 3
  }
}