Pith Number

pith:BZUO3Y6N

pith:2003:BZUO3Y6NRNXNFSCNANF2Q5KU2N

not attested not anchored not stored refs pending

C^*-algebras associated with self-similar sets

Tsuyoshi Kajiwara, Yasuo Watatani

arxiv:math/0312481 v2 · 2003-12-29 · 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{BZUO3Y6NRNXNFSCNANF2Q5KU2N}

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	2026-07-04T14:38:07.533435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e68ede3cd8b6ed2c84d034ba87554d37e92ae626bf128288ec9e837f3d732e6

Aliases

arxiv: math/0312481 · arxiv_version: math/0312481v2 · doi: 10.48550/arxiv.math/0312481 · pith_short_12: BZUO3Y6NRNXN · pith_short_16: BZUO3Y6NRNXNFSCN · pith_short_8: BZUO3Y6N

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/BZUO3Y6NRNXNFSCNANF2Q5KU2N \
  | 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: 0e68ede3cd8b6ed2c84d034ba87554d37e92ae626bf128288ec9e837f3d732e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5bdfdf5cf68cbb93f3162b5e479a75a60faf1f1dcb734a96ac528cd9c36cc4d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-12-29T07:29:27Z",
    "title_canon_sha256": "6d8e08aab45013ed86d75fe4ec6b6d6fe88de9529d6f6bf3b899d80d2d5c539b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312481",
    "kind": "arxiv",
    "version": 2
  }
}