Pith Number

pith:QZ2SGEH2

pith:2011:QZ2SGEH2DIRPD4KF6JYR2FYUXJ

not attested not anchored not stored refs pending

Index theory for locally compact noncommutative geometries

A. Carey, A. Rennie, F. Sukochev, V. Gayral

arxiv:1107.0805 v2 · 2011-07-05 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZ2SGEH2DIRPD4KF6JYR2FYUXJ}

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	2026-05-18T03:36:06.619535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86752310fa1a22f1f145f2711d1714ba4ce5cc787d359663c420696b5853bd23

Aliases

arxiv: 1107.0805 · arxiv_version: 1107.0805v2 · doi: 10.48550/arxiv.1107.0805 · pith_short_12: QZ2SGEH2DIRP · pith_short_16: QZ2SGEH2DIRPD4KF · pith_short_8: QZ2SGEH2

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/QZ2SGEH2DIRPD4KF6JYR2FYUXJ \
  | 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: 86752310fa1a22f1f145f2711d1714ba4ce5cc787d359663c420696b5853bd23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecbd9ca0d52bcfd042630f98f0bbe56c3fb7bdd5f0d1ba37fa5ebe2c107eb437",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-05T07:40:33Z",
    "title_canon_sha256": "86278d48343a995859cdb202410cd39cf5d3bbab68449d779b959d62601d634b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0805",
    "kind": "arxiv",
    "version": 2
  }
}