Pith Number

pith:URWP5NQV

pith:2019:URWP5NQV7WZWGTEHZEJBWBCKTU

not attested not anchored not stored refs pending

Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Wenjie Ji, Xiao-Gang Wen

arxiv:1912.13492 v4 · 2019-12-31 · 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{URWP5NQV7WZWGTEHZEJBWBCKTU}

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

21 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

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries

Receipt and verification

First computed	2026-07-05T01:37:05.395402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a46cfeb615fdb3634c87c9121b044a9d168be2a37af5f90d69e11d8c3cb033d5

Aliases

arxiv: 1912.13492 · arxiv_version: 1912.13492v4 · doi: 10.48550/arxiv.1912.13492 · pith_short_12: URWP5NQV7WZW · pith_short_16: URWP5NQV7WZWGTEH · pith_short_8: URWP5NQV

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/URWP5NQV7WZWGTEHZEJBWBCKTU \
  | 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: a46cfeb615fdb3634c87c9121b044a9d168be2a37af5f90d69e11d8c3cb033d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f67b3312f978f0eb789bbb9d5ac3f5e04fd3d95edeaab32e175bd27fcd58057",
    "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": "2019-12-31T18:46:37Z",
    "title_canon_sha256": "fc2bd064c3778d61a58f125fc6004285d19f9a3c5c6daa35155c18b61b14c913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.13492",
    "kind": "arxiv",
    "version": 4
  }
}