Pith Number

pith:IS4Q47WZ

pith:2023:IS4Q47WZPU6XUZ3WOBHEXFFLNR

not attested not anchored not stored refs pending

Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects

Craig Lawrie, Hao Y. Zhang, Xingyang Yu

arxiv:2306.11783 v1 · 2023-06-20 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IS4Q47WZPU6XUZ3WOBHEXFFLNR}

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

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras

Quiver Approach to Symmetry Theories

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

Lectures on Generalized Symmetries

On the SymTFTs of Finite Non-Abelian Symmetries

Receipt and verification

First computed	2026-07-05T06:23:06.080428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b90e7ed97d3d7a6776704e4b94ab6c5a6c94cd36edda54b328a00a10ab2c95

Aliases

arxiv: 2306.11783 · arxiv_version: 2306.11783v1 · doi: 10.48550/arxiv.2306.11783 · pith_short_12: IS4Q47WZPU6X · pith_short_16: IS4Q47WZPU6XUZ3W · pith_short_8: IS4Q47WZ

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/IS4Q47WZPU6XUZ3WOBHEXFFLNR \
  | 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: 44b90e7ed97d3d7a6776704e4b94ab6c5a6c94cd36edda54b328a00a10ab2c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3db9b319c6ed3e8b2e2752bbdcc6858455190b4522fb6170833e38715c60c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-06-20T18:00:00Z",
    "title_canon_sha256": "cadceec27c987bc734c7b90cec4215bf3a95c58eb911649732ed2a72b0b53cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11783",
    "kind": "arxiv",
    "version": 1
  }
}