Pith Number

pith:AF7KLQXR

pith:2012:AF7KLQXR22QAGLC4O66PNECG44

not attested not anchored not stored refs pending

The groupoid C*-algebra of a rational map

Klaus Thomsen

arxiv:1202.2659 v1 · 2012-02-13 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF7KLQXR22QAGLC4O66PNECG44}

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	2026-05-18T04:02:25.975243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017ea5c2f1d6a0032c5c77bcf69046e704c25be8a61fb5d91d51f33ae5eaa74b

Aliases

arxiv: 1202.2659 · arxiv_version: 1202.2659v1 · doi: 10.48550/arxiv.1202.2659 · pith_short_12: AF7KLQXR22QA · pith_short_16: AF7KLQXR22QAGLC4 · pith_short_8: AF7KLQXR

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/AF7KLQXR22QAGLC4O66PNECG44 \
  | 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: 017ea5c2f1d6a0032c5c77bcf69046e704c25be8a61fb5d91d51f33ae5eaa74b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6814e3c445c8e399199a068c5a4ca38401644fddb48337178c516b00a7ba5599",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-13T08:52:12Z",
    "title_canon_sha256": "b0a7d59d1840bb0d271f85cd930f1c77f7446ae4056b250969ec22839a23e294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2659",
    "kind": "arxiv",
    "version": 1
  }
}