Pith Number

pith:UPFF2PWF

pith:2018:UPFF2PWFFIVFVK7HIGW6X3DBLG

not attested not anchored not stored refs pending

Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators

Alain Connes, Dmitriy Zanin, Edward McDonald, Fedor Sukochev, Galina Levitina

arxiv:1808.01772 v3 · 2018-08-06 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPFF2PWFFIVFVK7HIGW6X3DBLG}

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	2026-05-17T23:56:53.079499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ca5d3ec52a2a5aabe741adebec6159b175524f8bbe54311fe907bcb271b5b3

Aliases

arxiv: 1808.01772 · arxiv_version: 1808.01772v3 · doi: 10.48550/arxiv.1808.01772 · pith_short_12: UPFF2PWFFIVF · pith_short_16: UPFF2PWFFIVFVK7H · pith_short_8: UPFF2PWF

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/UPFF2PWFFIVFVK7HIGW6X3DBLG \
  | 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: a3ca5d3ec52a2a5aabe741adebec6159b175524f8bbe54311fe907bcb271b5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5eaf76250d0559bfeb345e1b21aff9d67dcd3b6f86306080f16f11544b60bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-08-06T08:36:20Z",
    "title_canon_sha256": "552b0fabf51f76f026c97b3338dfbb82900ba0d383b8a4d47bb6025eed7995a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01772",
    "kind": "arxiv",
    "version": 3
  }
}