Pith Number

pith:TQBFDZMS

pith:2023:TQBFDZMSJIORE2LQ757TTZ6YHG

not attested not anchored not stored refs pending

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

Shu-Heng Shao

arxiv:2308.00747 v2 · 2023-08-01 · hep-th · cond-mat.str-el · hep-ph · math.CT · 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{TQBFDZMSJIORE2LQ757TTZ6YHG}

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

43 papers in Pith

Zee models with a non-invertible $Z_M$ symmetry

Non-Invertible Anyon Condensation and Level-Rank Dualities

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT

SymTFT construction of gapless exotic-foliated dual models

Receipt and verification

First computed	2026-05-17T23:38:49.225706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0251e5924a1d126970ff7f39e7d83999bbb6b6122281ac220ea7b3478c617f

Aliases

arxiv: 2308.00747 · arxiv_version: 2308.00747v2 · doi: 10.48550/arxiv.2308.00747 · pith_short_12: TQBFDZMSJIOR · pith_short_16: TQBFDZMSJIORE2LQ · pith_short_8: TQBFDZMS

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/TQBFDZMSJIORE2LQ757TTZ6YHG \
  | 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: 9c0251e5924a1d126970ff7f39e7d83999bbb6b6122281ac220ea7b3478c617f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f28771266d57339aad80281e337a92a90bdf09a048d8239974d9daf7ddf22a5",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-ph",
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-08-01T18:00:01Z",
    "title_canon_sha256": "135206898ba3c9ec04001e3e69a890814dd8a430eb480522cfe1741cc7b681ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00747",
    "kind": "arxiv",
    "version": 2
  }
}