Pith Number

pith:O32MN2PP

pith:2013:O32MN2PPMUS7JZGCAOWUZRCIDF

not attested not anchored not stored refs pending

Ideals of the core of C*-algebras associated with self-similar maps

Tsuyoshi Kajiwara, Yasuo Watatani

arxiv:1306.1878 v1 · 2013-06-08 · 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{O32MN2PPMUS7JZGCAOWUZRCIDF}

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	2026-05-18T03:21:23.003408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f4c6e9ef6525f4e4c203ad4cc448196c78f17ec67a27d857200f2640425f09

Aliases

arxiv: 1306.1878 · arxiv_version: 1306.1878v1 · doi: 10.48550/arxiv.1306.1878 · pith_short_12: O32MN2PPMUS7 · pith_short_16: O32MN2PPMUS7JZGC · pith_short_8: O32MN2PP

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/O32MN2PPMUS7JZGCAOWUZRCIDF \
  | 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: 76f4c6e9ef6525f4e4c203ad4cc448196c78f17ec67a27d857200f2640425f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d4d9193a0978155dc0de15ccbc85ac549b5528ef6e1eb905c08148c21b272e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-08T04:27:06Z",
    "title_canon_sha256": "857985cb3251ab68ac4a812bf17de8f82244313070321e8909270dfa1ca5e3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1878",
    "kind": "arxiv",
    "version": 1
  }
}