Pith Number

pith:ZAANVZPX

pith:2024:ZAANVZPX4FSZDDI6OMVWW2QAEF

not attested not anchored not stored refs pending

Dynamic asymptotic dimension growth for group actions and groupoids

Dapeng Zhou, Hang Wang, Jianguo Zhang, Yanru Wang

arxiv:2411.19712 v2 · 2024-11-29 · math.DS · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAANVZPX4FSZDDI6OMVWW2QAEF}

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	2026-07-05T10:08:25.452290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c800dae5f7e165918d1e732b6b6a002172d51824cf52867f92613c9ff576bc5c

Aliases

arxiv: 2411.19712 · arxiv_version: 2411.19712v2 · doi: 10.48550/arxiv.2411.19712 · pith_short_12: ZAANVZPX4FSZ · pith_short_16: ZAANVZPX4FSZDDI6 · pith_short_8: ZAANVZPX

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/ZAANVZPX4FSZDDI6OMVWW2QAEF \
  | 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: c800dae5f7e165918d1e732b6b6a002172d51824cf52867f92613c9ff576bc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7cc18fdad4344fea634d36923d0f13fbc5d5aecab1b633e7b70f71fc99e8b1",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-29T14:01:02Z",
    "title_canon_sha256": "c98b19340daa4b631a62f4a9c0fea23bd0a06d1d1a47e367c3c6484bfb16b5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19712",
    "kind": "arxiv",
    "version": 2
  }
}