Pith Number

pith:3NIQRJQS

pith:2015:3NIQRJQS7S6EFWSGCIOEOOWKVA

not attested not anchored not stored refs pending

Nonunital spectral triples and metric completeness in unbounded KK-theory

Adam Rennie, Bram Mesland

arxiv:1502.04520 v2 · 2015-02-16 · math.OA · math.KT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NIQRJQS7S6EFWSGCIOEOOWKVA}

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	2026-05-18T01:01:42.421910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5108a612fcbc42da46121c473acaa800896f3241414924e9ee23bcc775c1e3

Aliases

arxiv: 1502.04520 · arxiv_version: 1502.04520v2 · doi: 10.48550/arxiv.1502.04520 · pith_short_12: 3NIQRJQS7S6E · pith_short_16: 3NIQRJQS7S6EFWSG · pith_short_8: 3NIQRJQS

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/3NIQRJQS7S6EFWSGCIOEOOWKVA \
  | 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: db5108a612fcbc42da46121c473acaa800896f3241414924e9ee23bcc775c1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19269aa4a99fb32dff08b364de43db3f9472e5c7cfeda939e35d4923d484706",
    "cross_cats_sorted": [
      "math.KT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-16T13:04:45Z",
    "title_canon_sha256": "943712aea87096006fa9ec1a1e41900e6c0785191be710a2c3fc5db4b1b95ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04520",
    "kind": "arxiv",
    "version": 2
  }
}