Pith Number

pith:4CNSXUCC

pith:2020:4CNSXUCC6WOCEM7NV6LWL3E4MM

not attested not anchored not stored refs pending

Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry

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

arxiv:2005.14178 v3 · 2020-05-28 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CNSXUCC6WOCEM7NV6LWL3E4MM}

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

23 papers in Pith

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging

Holographic Theory of Mixed-Dimensional Statistics and Conservation-Encoding Hopping-Operator Algebras

Fracton Topological Holography

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries

Higher Gauging and Non-invertible Condensation Defects

Receipt and verification

First computed	2026-07-05T01:44:39.505654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09b2bd042f59c2233edaf9765ec9c630577f16e5d0c7000590fdd7165f88238

Aliases

arxiv: 2005.14178 · arxiv_version: 2005.14178v3 · doi: 10.48550/arxiv.2005.14178 · pith_short_12: 4CNSXUCC6WOC · pith_short_16: 4CNSXUCC6WOCEM7N · pith_short_8: 4CNSXUCC

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/4CNSXUCC6WOCEM7NV6LWL3E4MM \
  | 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: e09b2bd042f59c2233edaf9765ec9c630577f16e5d0c7000590fdd7165f88238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce690f8aeb11f0ac0a90201566ea01972057cd34a0be3d41d90936e8ebde261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2020-05-28T17:50:15Z",
    "title_canon_sha256": "c7128c2d1718dda30b421b16c7e562eb532931ccdb5006d5cb065f0852de8714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.14178",
    "kind": "arxiv",
    "version": 3
  }
}