Pith Number

pith:CS57BSQ2

pith:2013:CS57BSQ2YNLJCLFEOWY6Y4ARP3

not attested not anchored not stored refs pending

KMS weights on groupoid and graph C*-algebras

Klaus Thomsen

arxiv:1306.5118 v1 · 2013-06-21 · 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{CS57BSQ2YNLJCLFEOWY6Y4ARP3}

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	2026-05-18T03:20:19.686750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14bbf0ca1ac356912ca475b1ec70117ef073365b1321cc916897bd365dd7607d

Aliases

arxiv: 1306.5118 · arxiv_version: 1306.5118v1 · doi: 10.48550/arxiv.1306.5118 · pith_short_12: CS57BSQ2YNLJ · pith_short_16: CS57BSQ2YNLJCLFE · pith_short_8: CS57BSQ2

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/CS57BSQ2YNLJCLFEOWY6Y4ARP3 \
  | 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: 14bbf0ca1ac356912ca475b1ec70117ef073365b1321cc916897bd365dd7607d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08296940ae10f8f16a1fb1c73263415e8b7e93680ee83fd990e1a82373ba7f5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-21T12:40:09Z",
    "title_canon_sha256": "4ffc834b6b4daad34021ef3fe935b5db4686b8d9649ffd6a63825799e16d877f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5118",
    "kind": "arxiv",
    "version": 1
  }
}