Pith Number

pith:SJOMW4MT

pith:2026:SJOMW4MT7JWSZW6YPYDP2X3IF5

not attested not anchored not stored refs pending

Metric dimension of $C^{\ast}$-algebras of cocycle twisted transformation groupoids: Growth and dynamical complexity

Arnab Chattopadhyay, Soumalya Joardar

arxiv:2606.24728 v1 · 2026-06-23 · 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{SJOMW4MT7JWSZW6YPYDP2X3IF5}

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	2026-06-24T01:15:40.242482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925ccb7193fa6d2cdbd87e06fd5f682f5e7e0e098812a7e5e30e88d7d9b07777

Aliases

arxiv: 2606.24728 · arxiv_version: 2606.24728v1 · doi: 10.48550/arxiv.2606.24728 · pith_short_12: SJOMW4MT7JWS · pith_short_16: SJOMW4MT7JWSZW6Y · pith_short_8: SJOMW4MT

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/SJOMW4MT7JWSZW6YPYDP2X3IF5 \
  | 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: 925ccb7193fa6d2cdbd87e06fd5f682f5e7e0e098812a7e5e30e88d7d9b07777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f883f28cccf43b6ea2f09aa435242fb854c3b7c3d41aeb3a17cfb8372ad34216",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-23T15:52:35Z",
    "title_canon_sha256": "3cbc410bfa9b8fe3179d7524a26f6e55031067d3076df146fde22a35464b4530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24728",
    "kind": "arxiv",
    "version": 1
  }
}