Pith Number

pith:O7IY4Z6R

pith:2014:O7IY4Z6RAVHFHULHBSNB2WSZCX

not attested not anchored not stored refs pending

Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions

Liang Kong, Xiao-Gang Wen

arxiv:1405.5858 v1 · 2014-05-22 · cond-mat.str-el · hep-th · 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{O7IY4Z6RAVHFHULHBSNB2WSZCX}

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

15 papers in Pith

Higher Gauging and Non-invertible Condensation Defects

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Pro-Tensor Network

Receipt and verification

First computed	2026-05-18T02:51:15.432156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d18e67d1054e53d1670c9a1d5a5915c8fc44950d937f992c99a97827a8c75a

Aliases

arxiv: 1405.5858 · arxiv_version: 1405.5858v1 · doi: 10.48550/arxiv.1405.5858 · pith_short_12: O7IY4Z6RAVHF · pith_short_16: O7IY4Z6RAVHFHULH · pith_short_8: O7IY4Z6R

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/O7IY4Z6RAVHFHULHBSNB2WSZCX \
  | 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: 77d18e67d1054e53d1670c9a1d5a5915c8fc44950d937f992c99a97827a8c75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f1d41dc74ef5408b76ee44b63603eece8dccc98eaad2814d4f7280fcd257ef",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2014-05-22T18:54:09Z",
    "title_canon_sha256": "74a77a5eec92a4abbfd4c2da377eaf16ca1a6468254290213fa6095d5b756899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5858",
    "kind": "arxiv",
    "version": 1
  }
}