Pith Number

pith:BBW7NXHZ

pith:2017:BBW7NXHZUHGFUVLBP3OPTBJTXT

not attested not anchored not stored refs pending

A central $U(1)$-extension of a double Lie groupoid

Naoya Suzuki

arxiv:1712.05179 v3 · 2017-12-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBW7NXHZUHGFUVLBP3OPTBJTXT}

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

1 paper in Pith

Categorical Symmetries via Operator Algebras

Receipt and verification

First computed	2026-05-18T00:20:29.957947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086df6dcf9a1cc5a55617edcf98533bce7daed53e812c2bdf37fb45aa67a3968

Aliases

arxiv: 1712.05179 · arxiv_version: 1712.05179v3 · doi: 10.48550/arxiv.1712.05179 · pith_short_12: BBW7NXHZUHGF · pith_short_16: BBW7NXHZUHGFUVLB · pith_short_8: BBW7NXHZ

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/BBW7NXHZUHGFUVLBP3OPTBJTXT \
  | 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: 086df6dcf9a1cc5a55617edcf98533bce7daed53e812c2bdf37fb45aa67a3968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7a2c5011ee1cfec96ff892ac325d0d04911fe62a45bf73b7a4e14691e5b072",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-14T11:28:09Z",
    "title_canon_sha256": "5d58b6af59200c5265f3b0eccdff6cf59d270215cf5e0436d662256b93f93e3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05179",
    "kind": "arxiv",
    "version": 3
  }
}