Pith Number

pith:ZQVQY3KL

pith:2019:ZQVQY3KLUI5JYAL3FCCQEOTCZM

not attested not anchored not stored refs pending

Simplicity of reduced group Banach algebras

N. Christopher Phillips

arxiv:1909.11278 v1 · 2019-09-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQVQY3KLUI5JYAL3FCCQEOTCZM}

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

1 paper in Pith

Rigidity of pseudofunction algebras of ample groupoids

Receipt and verification

First computed	2026-07-05T00:07:09.807773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2b0c6d4ba23a9c017b2885023a62cb33d5733087cf18e4cd706d78df45ed6c

Aliases

arxiv: 1909.11278 · arxiv_version: 1909.11278v1 · doi: 10.48550/arxiv.1909.11278 · pith_short_12: ZQVQY3KLUI5J · pith_short_16: ZQVQY3KLUI5JYAL3 · pith_short_8: ZQVQY3KL

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/ZQVQY3KLUI5JYAL3FCCQEOTCZM \
  | 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: cc2b0c6d4ba23a9c017b2885023a62cb33d5733087cf18e4cd706d78df45ed6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f853faec39e5ba06998ba1d17906524d3c854cc47fea43ecf71f484072d51a8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-09-25T04:18:28Z",
    "title_canon_sha256": "9f7a66aa8263bbb8de45a1255851c8392c71dee2b17f2d0ed4b3a3666924336c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11278",
    "kind": "arxiv",
    "version": 1
  }
}