Pith Number

pith:HWDK63C6

pith:2014:HWDK63C6JGKIPHDF4IDE4AQPDY

not attested not anchored not stored refs pending

Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Maissam Barkeshli, Meng Cheng, Parsa Bonderson, Zhenghan Wang

arxiv:1410.4540 v4 · 2014-10-16 · cond-mat.str-el · cond-mat.mes-hall · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWDK63C6JGKIPHDF4IDE4AQPDY}

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

21 papers in Pith

Monodromy defects in Chern-Simons theory and Holography

Holographic Theory of Mixed-Dimensional Statistics and Conservation-Encoding Hopping-Operator Algebras

Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function

Microscopic universal theory of symmetry-enriched topological quantum spin liquids

Notes on (-2)-form symmetries

Receipt and verification

First computed	2026-07-05T00:11:52.696220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d86af6c5e4994879c65e2064e020f1e2d85aec0aa7599e4256fc40504948809

Aliases

arxiv: 1410.4540 · arxiv_version: 1410.4540v4 · doi: 10.48550/arxiv.1410.4540 · pith_short_12: HWDK63C6JGKI · pith_short_16: HWDK63C6JGKIPHDF · pith_short_8: HWDK63C6

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/HWDK63C6JGKIPHDF4IDE4AQPDY \
  | 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: 3d86af6c5e4994879c65e2064e020f1e2d85aec0aa7599e4256fc40504948809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f56ba0a91e1d36e756077dba772cc0086fd87287efa90d06f8be2f451ae86bf",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2014-10-16T19:21:13Z",
    "title_canon_sha256": "ddc4625c9bf5c4fa8c7b076d915c239e4fabd383ed3abdb94c41ecbf7bcc7ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4540",
    "kind": "arxiv",
    "version": 4
  }
}