Pith Number

pith:XQJXTEMF

pith:2016:XQJXTEMFG7IQDGY3OJJUUAO44U

not attested not anchored not stored refs pending

Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries

Liang Kong, Tian Lan, Xiao-Gang Wen

arxiv:1602.05936 v3 · 2016-02-18 · math.QA · cond-mat.str-el · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQJXTEMFG7IQDGY3OJJUUAO44U}

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	2026-05-18T00:50:01.612113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1379918537d1019b1b72534a01dce50d6bb7f5caf93d3f65cffd1442562372

Aliases

arxiv: 1602.05936 · arxiv_version: 1602.05936v3 · doi: 10.48550/arxiv.1602.05936 · pith_short_12: XQJXTEMFG7IQ · pith_short_16: XQJXTEMFG7IQDGY3 · pith_short_8: XQJXTEMF

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/XQJXTEMFG7IQDGY3OJJUUAO44U \
  | 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: bc1379918537d1019b1b72534a01dce50d6bb7f5caf93d3f65cffd1442562372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73bfcd5642a6ee63122bf0bf7c804149534f6081b6d72bc6f6ad795e5f52d5a8",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-02-18T20:41:44Z",
    "title_canon_sha256": "1ad4af44fdf9cb01a342197b284f58ec4e11ef3b5008f3da60fc7e88a313c92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05936",
    "kind": "arxiv",
    "version": 3
  }
}