Pith Number

pith:VPYOP6GY

pith:2026:VPYOP6GYGKMMXNOBS6PQMT4CCA

not attested not anchored not stored refs pending

Anyon Condensation In Symmetry-Enriched Topological Phases: $G$-Grading of Multifusion Categories

Nianrui Fu, Siyuan Wang, Yidun Wan, Yu Zhao

arxiv:2607.24740 v1 · 2026-07-27 · cond-mat.str-el · cond-mat.stat-mech · hep-th · 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{VPYOP6GYGKMMXNOBS6PQMT4CCA}

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.

Receipt and verification

First computed	2026-07-28T02:24:25.194265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf0e7f8d83298cbb5c1979f064f82102d2b2ab98aa0c315c3ac92f2b0eb5c2a

Aliases

arxiv: 2607.24740 · arxiv_version: 2607.24740v1 · doi: 10.48550/arxiv.2607.24740 · pith_short_12: VPYOP6GYGKMM · pith_short_16: VPYOP6GYGKMMXNOB · pith_short_8: VPYOP6GY

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/VPYOP6GYGKMMXNOBS6PQMT4CCA \
  | 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: abf0e7f8d83298cbb5c1979f064f82102d2b2ab98aa0c315c3ac92f2b0eb5c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497a886012f16296ad6cb27edccd52aa8e8a5d98c0b125e8472df62ed10be6bf",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-27T17:59:11Z",
    "title_canon_sha256": "825c0878f5413bd9105ca607cbe97a4ff3b06a738c4481af26370c6b7b25cafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24740",
    "kind": "arxiv",
    "version": 1
  }
}