Pith Number

pith:COUGJ76G

pith:2019:COUGJ76GWPU5ZCEPKXB2JJ3A2U

not attested not anchored not stored refs pending

Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Ryan Thorngren, Yifan Wang

arxiv:1912.02817 v1 · 2019-12-05 · hep-th · cond-mat.str-el · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COUGJ76GWPU5ZCEPKXB2JJ3A2U}

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

24 papers in Pith

Higher Gauging and Non-invertible Condensation Defects

Non-Invertible Duality Defects in 3+1 Dimensions

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

Non-Invertible Anyon Condensation and Level-Rank Dualities

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Receipt and verification

First computed	2026-05-24T10:09:59.286127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13a864ffc6b3e9dc888f55c3a4a760d52e82af0ac1e36dac0b59003ecb45b010

Aliases

arxiv: 1912.02817 · arxiv_version: 1912.02817v1 · doi: 10.48550/arxiv.1912.02817 · pith_short_12: COUGJ76GWPU5 · pith_short_16: COUGJ76GWPU5ZCEP · pith_short_8: COUGJ76G

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/COUGJ76GWPU5ZCEPKXB2JJ3A2U \
  | 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: 13a864ffc6b3e9dc888f55c3a4a760d52e82af0ac1e36dac0b59003ecb45b010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b22cac6e668c908b6c0bbacf6b1f60d7f6a4c6272cf94b379854e901168788",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-05T18:59:58Z",
    "title_canon_sha256": "6b82f0e2c90d4fe9ec3c07277b936e519e8c6a7f4c21ebc9070d215c81234e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02817",
    "kind": "arxiv",
    "version": 1
  }
}