Pith Number

pith:5JYHO5NR

pith:2000:5JYHO5NRTRGJTGSFOWO5WPZ2VZ

not attested not anchored not stored refs pending

A modular functor which is universal for quantum computation

Michael Freedman, Michael Larsen, Zhenghan Wang

arxiv:quant-ph/0001108 v2 · 2000-01-29 · quant-ph · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JYHO5NRTRGJTGSFOWO5WPZ2VZ}

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

4 papers in Pith

Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence

Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model

Lower overhead fault-tolerant building blocks for noisy quantum computers

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping

Receipt and verification

First computed	2026-07-04T14:45:26.407725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea707775b19c4c999a45759ddb3f3aae79a24836cdd36f62d08dcc86eda9f737

Aliases

arxiv: quant-ph/0001108 · arxiv_version: quant-ph/0001108v2 · doi: 10.48550/arxiv.quant-ph/0001108 · pith_short_12: 5JYHO5NRTRGJ · pith_short_16: 5JYHO5NRTRGJTGSF · pith_short_8: 5JYHO5NR

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/5JYHO5NRTRGJTGSFOWO5WPZ2VZ \
  | 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: ea707775b19c4c999a45759ddb3f3aae79a24836cdd36f62d08dcc86eda9f737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4063e26e4ec14a0cf41bd9791a1a1a5728cc813da61612848c2c74fa34fe4b7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-01-29T02:50:54Z",
    "title_canon_sha256": "b235676fa7d96c3a3a483173d221412d71e58aa36da46477c941f870383aa11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0001108",
    "kind": "arxiv",
    "version": 2
  }
}