Pith Number

pith:XRKRIOLS

pith:2023:XRKRIOLS4ABHXDPTBWY5D5D3EW

not attested not anchored not stored refs pending

Group actions on multitrees and the $K$-theory of their crossed products

Anne Thomas, Jack Spielberg, Nathan Brownlowe, Victor Wu

arxiv:2311.05285 v1 · 2023-11-09 · math.OA · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRKRIOLS4ABHXDPTBWY5D5D3EW}

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	2026-07-05T07:10:57.127251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc55143972e0027b8df30db1d1f47b25a4b778dc5180b6714e9eab95563c6683

Aliases

arxiv: 2311.05285 · arxiv_version: 2311.05285v1 · doi: 10.48550/arxiv.2311.05285 · pith_short_12: XRKRIOLS4ABH · pith_short_16: XRKRIOLS4ABHXDPT · pith_short_8: XRKRIOLS

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/XRKRIOLS4ABHXDPTBWY5D5D3EW \
  | 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: bc55143972e0027b8df30db1d1f47b25a4b778dc5180b6714e9eab95563c6683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e7848e755883e533652a37c3341febe8c7fd9f5ca6fac1864d5d30f906a424",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-11-09T11:29:27Z",
    "title_canon_sha256": "ed78cc86a3cbad3f97e635e72b340d6eba7991e900b99423e37551a161fc6f07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.05285",
    "kind": "arxiv",
    "version": 1
  }
}