Pith Number

pith:XXVR4BLB

pith:2012:XXVR4BLBSTQICKFSQ5O43XXYNV

not attested not anchored not stored refs pending

Traces on cores of C*-algebras associated with self-similar maps

Tsuyoshi Kajiwara, Yasuo Watatani

arxiv:1204.5836 v1 · 2012-04-26 · 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{XXVR4BLBSTQICKFSQ5O43XXYNV}

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	2026-05-17T23:53:18.772472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdeb1e056194e08128b2875dcddef86d7787ccdc9af49375e02dffc373546913

Aliases

arxiv: 1204.5836 · arxiv_version: 1204.5836v1 · doi: 10.48550/arxiv.1204.5836 · pith_short_12: XXVR4BLBSTQI · pith_short_16: XXVR4BLBSTQICKFS · pith_short_8: XXVR4BLB

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/XXVR4BLBSTQICKFSQ5O43XXYNV \
  | 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: bdeb1e056194e08128b2875dcddef86d7787ccdc9af49375e02dffc373546913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909c74fa5ae307a78c01fa8a380f1bb5e5ccecfcccf0979f18f6cdc22658de2b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-26T06:16:01Z",
    "title_canon_sha256": "a75806749d02dfd03b38da9c7a63771f31194c7959914de1ad67ecc4f8c63925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5836",
    "kind": "arxiv",
    "version": 1
  }
}