Pith Number

pith:W2ODE4TG

pith:2026:W2ODE4TGFSHU6SJ6D5V7TTG6QW

not attested not anchored not stored refs pending

On some $p$-approximation properties of exact discrete groups and $\ell^p$ uniform Roe algebras

Yeong Chyuan Chung

arxiv:2606.27230 v1 · 2026-06-25 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2ODE4TGFSHU6SJ6D5V7TTG6QW}

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	2026-06-26T01:16:15.761930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69c3272662c8f4f493e1f6bf9ccde85adada4dbbee2ad3f7211a7fe50c0e108

Aliases

arxiv: 2606.27230 · arxiv_version: 2606.27230v1 · doi: 10.48550/arxiv.2606.27230 · pith_short_12: W2ODE4TGFSHU · pith_short_16: W2ODE4TGFSHU6SJ6 · pith_short_8: W2ODE4TG

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/W2ODE4TGFSHU6SJ6D5V7TTG6QW \
  | 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: b69c3272662c8f4f493e1f6bf9ccde85adada4dbbee2ad3f7211a7fe50c0e108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cdc3762e49637e3d7065fe0e4956e5045f17912a701d0f6c5656ecffe9f40fc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-25T16:17:02Z",
    "title_canon_sha256": "e16abcf293a46fe2efdd66d03a3973def01ce6f92803f63bb72186b3a48c443b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27230",
    "kind": "arxiv",
    "version": 1
  }
}