Pith Number

pith:WPWEG4XV

pith:2020:WPWEG4XVCHDGSSVL6FHESJLXZ4

not attested not anchored not stored refs pending

Almost elementariness and fiberwise amenability for \'etale groupoids

Jianchao Wu, Xin Ma

arxiv:2011.01182 v2 · 2020-11-02 · 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{WPWEG4XVCHDGSSVL6FHESJLXZ4}

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.

Cited by

4 papers in Pith

Full Gabor frames, its existence problem, and a non-uniform Balian-Low type theorem

Virtual inheritance properties of graph products

Ample groupoids that are neither almost finite nor purely infinite

A groupoid approach to the equivariant coarse Baum--Connes conjecture

Receipt and verification

First computed	2026-07-05T01:57:06.997502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ec4372f511c6694aabf14e492577cf02f7dda39f8b3f3dd8c9a50d5e172cc4

Aliases

arxiv: 2011.01182 · arxiv_version: 2011.01182v2 · doi: 10.48550/arxiv.2011.01182 · pith_short_12: WPWEG4XVCHDG · pith_short_16: WPWEG4XVCHDGSSVL · pith_short_8: WPWEG4XV

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/WPWEG4XVCHDGSSVL6FHESJLXZ4 \
  | 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: b3ec4372f511c6694aabf14e492577cf02f7dda39f8b3f3dd8c9a50d5e172cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a49e97870b1a8e28d7cd77f3fd86f3a58b673277fda6d3257b39b4a9e12cb50",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-11-02T18:18:02Z",
    "title_canon_sha256": "075fd21378f18786f842fc7df792851068b273ba5d0864fb842f65e4b3ae5d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01182",
    "kind": "arxiv",
    "version": 2
  }
}