Pith Number

pith:T3U4XPIB

pith:2004:T3U4XPIBF32CA3L2MBDXPAYDET

not attested not anchored not stored refs pending

$C^{\ast}$-Algebras associated with Mauldin-Williams Graphs

Marius Ionescu, Yasuo Watatani

arxiv:math/0410480 v2 · 2004-10-22 · 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{T3U4XPIBF32CA3L2MBDXPAYDET}

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	2026-07-04T14:39:17.840448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee9cbbd012ef4206d7a604777830324d96471145ad06391ca76b04abd8d7c64

Aliases

arxiv: math/0410480 · arxiv_version: math/0410480v2 · doi: 10.48550/arxiv.math/0410480 · pith_short_12: T3U4XPIBF32C · pith_short_16: T3U4XPIBF32CA3L2 · pith_short_8: T3U4XPIB

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/T3U4XPIBF32CA3L2MBDXPAYDET \
  | 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: 9ee9cbbd012ef4206d7a604777830324d96471145ad06391ca76b04abd8d7c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6fc29c8e84bc687a0afd23338b026b0087994d1481e927ffb6df0520f08966",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-10-22T02:14:13Z",
    "title_canon_sha256": "d12eaa2709cb9877c27855747fc41b65bfceeb94e6ed08f8b0c7fdb3cb690bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410480",
    "kind": "arxiv",
    "version": 2
  }
}