Pith Number

pith:3XPAPMIS

pith:2012:3XPAPMIS27CWFA2LCNPROOBJQ2

not attested not anchored not stored refs pending

Orbifold completion of defect bicategories

Ingo Runkel, Nils Carqueville

arxiv:1210.6363 v4 · 2012-10-23 · math.QA · hep-th · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XPAPMIS27CWFA2LCNPROOBJQ2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

1 paper in Pith

From gauging to duality in one-dimensional quantum lattice models

Receipt and verification

First computed	2026-05-18T01:18:49.698581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddde07b112d7c562834b135f173829869a6a506242d417546188f23fa6c248a6

Aliases

arxiv: 1210.6363 · arxiv_version: 1210.6363v4 · doi: 10.48550/arxiv.1210.6363 · pith_short_12: 3XPAPMIS27CW · pith_short_16: 3XPAPMIS27CWFA2L · pith_short_8: 3XPAPMIS

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/3XPAPMIS27CWFA2LCNPROOBJQ2 \
  | 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: ddde07b112d7c562834b135f173829869a6a506242d417546188f23fa6c248a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad41b304aa543ffa5d90b31406808b14c5aa1440fa045104a10058d6b954450",
    "cross_cats_sorted": [
      "hep-th",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-23T20:06:43Z",
    "title_canon_sha256": "41d5e4b9a67a19f257c3c003a198b20b6ba12d15a6a4cd3662eaad999a4a5bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6363",
    "kind": "arxiv",
    "version": 4
  }
}