Pith Number

pith:4VLGWFJ6

pith:2021:4VLGWFJ6UXVYQ7DV3KIFM2DI32

not attested not anchored not stored refs pending

Non-Invertible Duality Defects in 3+1 Dimensions

Clay Cordova, Ho Tat Lam, Po-Shen Hsin, Shu-Heng Shao, Yichul Choi

arxiv:2111.01139 v3 · 2021-11-01 · 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{4VLGWFJ6UXVYQ7DV3KIFM2DI32}

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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

23 papers in Pith

Higher Gauging and Non-invertible Condensation Defects

Symmetry TFTs from String Theory

Topological symmetry in quantum field theory

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

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Receipt and verification

First computed	2026-05-24T08:53:02.903940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5566b153ea5eb887c75da90566868de8c77e2e039202a367328ad1551a61f40

Aliases

arxiv: 2111.01139 · arxiv_version: 2111.01139v3 · doi: 10.48550/arxiv.2111.01139 · pith_short_12: 4VLGWFJ6UXVY · pith_short_16: 4VLGWFJ6UXVYQ7DV · pith_short_8: 4VLGWFJ6

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/4VLGWFJ6UXVYQ7DV3KIFM2DI32 \
  | 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: e5566b153ea5eb887c75da90566868de8c77e2e039202a367328ad1551a61f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867313cfa34e5ceea532d2786e21fae86c35a20b64a30f1339659b731149269a",
    "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": "2021-11-01T18:00:00Z",
    "title_canon_sha256": "9e64582516039589154eec44bab8cbd9573dd348ae683143c6c90c5f559a5235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01139",
    "kind": "arxiv",
    "version": 3
  }
}