pith. sign in
Pith Number

pith:5ZCUGU2W

pith:2017:5ZCUGU2WVWPBB6HLVFV6YN4Y3S
not attested not anchored not stored refs pending

Twisted Quantum Double Model of Topological Orders with Boundaries

Alex Bullivant, Yidun Wan, Yuting Hu

arxiv:1706.03611 v1 · 2017-06-12 · cond-mat.str-el · hep-th · math-ph · math.MP · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5ZCUGU2WVWPBB6HLVFV6YN4Y3S}

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 2026-05-18T00:30:16.742810Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ee45435356ad9e10f8eba96bec3798dca45d07d53346003b3c643df9fd2dc4da

Aliases

arxiv: 1706.03611 · arxiv_version: 1706.03611v1 · doi: 10.48550/arxiv.1706.03611 · pith_short_12: 5ZCUGU2WVWPB · pith_short_16: 5ZCUGU2WVWPBB6HL · pith_short_8: 5ZCUGU2W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ZCUGU2WVWPBB6HLVFV6YN4Y3S \
  | 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: ee45435356ad9e10f8eba96bec3798dca45d07d53346003b3c643df9fd2dc4da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9947d2fe15b788b0ccc06e936312d9cf99d2cf2171e7faaad091a806de496514",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2017-06-12T13:12:36Z",
    "title_canon_sha256": "fb4eecaa78a4f22d00ee4f8f62de2034a39205e488b1c9a3e6def6b5f2f98094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03611",
    "kind": "arxiv",
    "version": 1
  }
}