Pith Number

pith:UGOZMBSF

pith:2020:UGOZMBSFQGEM7POJJGOUVH3NJT

not attested not anchored not stored refs pending

Defects in the 3-dimensional toric code model form a braided fusion 2-category

Liang Kong, Yin Tian, Zhi-Hao Zhang

arxiv:2009.06564 v2 · 2020-09-14 · cond-mat.str-el · hep-th · 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{UGOZMBSFQGEM7POJJGOUVH3NJT}

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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

1 paper in Pith

Higher Gauging and Non-invertible Condensation Defects

Receipt and verification

First computed	2026-07-05T01:58:56.381844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19d9606458188cfbdc9499d4a9f6d4cc024c8ed00e92005530e76d4719a500c

Aliases

arxiv: 2009.06564 · arxiv_version: 2009.06564v2 · doi: 10.48550/arxiv.2009.06564 · pith_short_12: UGOZMBSFQGEM · pith_short_16: UGOZMBSFQGEM7POJ · pith_short_8: UGOZMBSF

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/UGOZMBSFQGEM7POJJGOUVH3NJT \
  | 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: a19d9606458188cfbdc9499d4a9f6d4cc024c8ed00e92005530e76d4719a500c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c322f1249a0ccf3579834158e33af532b108aad1fdb7ea2525c11ce6f732db03",
    "cross_cats_sorted": [
      "hep-th",
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2020-09-14T16:47:06Z",
    "title_canon_sha256": "303d00a8061987ba37caddbb14cc089e437ff85c9c9b559744a52326a49ced37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.06564",
    "kind": "arxiv",
    "version": 2
  }
}