Pith Number

pith:AAMEPYIL

pith:2019:AAMEPYILNZ2IEIMNQBWEYLXRRD

not attested not anchored not stored refs pending

Injectivity, crossed products, and amenable group actions

Alcides Buss, Rufus Willett, Siegfried Echterhoff

arxiv:1904.06771 v2 · 2019-04-14 · 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{AAMEPYILNZ2IEIMNQBWEYLXRRD}

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	2026-05-17T23:47:35.572137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001847e10b6e7482218d806c4c2ef188c78b0856e49b33a990ad14e54193d184

Aliases

arxiv: 1904.06771 · arxiv_version: 1904.06771v2 · doi: 10.48550/arxiv.1904.06771 · pith_short_12: AAMEPYILNZ2I · pith_short_16: AAMEPYILNZ2IEIMN · pith_short_8: AAMEPYIL

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/AAMEPYILNZ2IEIMNQBWEYLXRRD \
  | 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: 001847e10b6e7482218d806c4c2ef188c78b0856e49b33a990ad14e54193d184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d190fda386b3b57f155873624ed2afc4b657103e23dc0152cad01fc13330c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-04-14T22:23:44Z",
    "title_canon_sha256": "d74966cddb02d89321c9707e960f68fbaede3d2cb54ba42149d5156bb46bc6de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06771",
    "kind": "arxiv",
    "version": 2
  }
}