Pith Number

pith:GA3TE2K5

pith:2025:GA3TE2K5NDNFGF7KH6WY47U7WL

not attested not anchored not stored refs pending

Essential groupoid amenability and nuclearity of groupoid C*-algebras

Alcides Buss, Diego Mart\'inez

arxiv:2501.01775 v3 · 2025-01-03 · 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{GA3TE2K5NDNFGF7KH6WY47U7WL}

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

2 papers in Pith

A Baum-Connes assembly map for essential semigroup crossed products

Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions

Receipt and verification

First computed	2026-07-05T10:50:31.914151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303732695d68da5317ea3fad8e7e9fb2f41ac5bbc2b617bc690826c72cdb6f71

Aliases

arxiv: 2501.01775 · arxiv_version: 2501.01775v3 · doi: 10.48550/arxiv.2501.01775 · pith_short_12: GA3TE2K5NDNF · pith_short_16: GA3TE2K5NDNFGF7K · pith_short_8: GA3TE2K5

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/GA3TE2K5NDNFGF7KH6WY47U7WL \
  | 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: 303732695d68da5317ea3fad8e7e9fb2f41ac5bbc2b617bc690826c72cdb6f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8914889f9c2d0da25760eb479bf82f8102732e5ea54227caf7c3bcb0f698b09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-01-03T12:03:57Z",
    "title_canon_sha256": "d36cde5ee0eee811d8b2df6fef020a3b3b7ae16f6010ff553b86a20aab05cc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01775",
    "kind": "arxiv",
    "version": 3
  }
}