Pith Number

pith:33IJXYZ6

pith:2021:33IJXYZ6IFAW7AVUPCWEH5FZT5

not attested not anchored not stored refs pending

Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction

Matthew Yu

arxiv:2111.13697 v3 · 2021-11-26 · hep-th · cond-mat.str-el · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33IJXYZ6IFAW7AVUPCWEH5FZT5}

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

6 papers in Pith

Sixteen-Fold Way for Fermionic Topological Orders

Higher Gauging and Non-invertible Condensation Defects

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

Non-Invertible Anyon Condensation and Level-Rank Dualities

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

Receipt and verification

First computed	2026-07-05T05:59:19.789527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded09be33e41416f82b478ac43f4b99f622d7e498392af96489e06df150fac8d

Aliases

arxiv: 2111.13697 · arxiv_version: 2111.13697v3 · doi: 10.48550/arxiv.2111.13697 · pith_short_12: 33IJXYZ6IFAW · pith_short_16: 33IJXYZ6IFAW7AVU · pith_short_8: 33IJXYZ6

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/33IJXYZ6IFAW7AVUPCWEH5FZT5 \
  | 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: ded09be33e41416f82b478ac43f4b99f622d7e498392af96489e06df150fac8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca637c7f11b7af37a178be7d0166908db3f37090da88f578ac56254df5b9aaa4",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-26T19:00:00Z",
    "title_canon_sha256": "6c71f6f8fdb321574a57003e29e755e94bb8eb5a40cff2543dce47ca56289f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.13697",
    "kind": "arxiv",
    "version": 3
  }
}