Pith Number

pith:CEFW3WOI

pith:2018:CEFW3WOIVQCBKLZRJYLBT5VD6K

not attested not anchored not stored refs pending

Singular spaces, groupoids and metrics of positive scalar curvature

Paolo Piazza, Vito Felice Zenobi

arxiv:1803.02697 v1 · 2018-03-07 · math.KT · 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{CEFW3WOIVQCBKLZRJYLBT5VD6K}

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	2026-05-17T23:55:15.011070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

110b6dd9c8ac04152f314e1619f6a3f2b106b156ed6ade6d99735702961f7715

Aliases

arxiv: 1803.02697 · arxiv_version: 1803.02697v1 · doi: 10.48550/arxiv.1803.02697 · pith_short_12: CEFW3WOIVQCB · pith_short_16: CEFW3WOIVQCBKLZR · pith_short_8: CEFW3WOI

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/CEFW3WOIVQCBKLZRJYLBT5VD6K \
  | 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: 110b6dd9c8ac04152f314e1619f6a3f2b106b156ed6ade6d99735702961f7715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6308349f10715dcb63b423efb27bfae32945556d4225751788b3995ff238d74",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-03-07T14:56:55Z",
    "title_canon_sha256": "2fec88ddfd5acb0b90090c55d48df8a4da7de27baec7bf12046c327ce44ebc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02697",
    "kind": "arxiv",
    "version": 1
  }
}