Pith Number

pith:AR42W7UQ

pith:2022:AR42W7UQP7HTXWMIYFYQNIGK2U

not attested not anchored not stored refs pending

Ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces

Xin Li

arxiv:2209.08087 v2 · 2022-09-16 · math.GR · math.AT · math.DS · math.KT · 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{AR42W7UQP7HTXWMIYFYQNIGK2U}

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

Homology of Steinberg algebras

Receipt and verification

First computed	2026-07-05T10:19:18.678793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0479ab7e907fcf3bd988c17106a0cad51881c04aefb950ecfa988ec3f2b493bf

Aliases

arxiv: 2209.08087 · arxiv_version: 2209.08087v2 · doi: 10.48550/arxiv.2209.08087 · pith_short_12: AR42W7UQP7HT · pith_short_16: AR42W7UQP7HTXWMI · pith_short_8: AR42W7UQ

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/AR42W7UQP7HTXWMIYFYQNIGK2U \
  | 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: 0479ab7e907fcf3bd988c17106a0cad51881c04aefb950ecfa988ec3f2b493bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7598efdcb9f0d4b57e0740a17cdc94870c91c3844d2a267dfa4923e1431193c",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS",
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-09-16T17:54:56Z",
    "title_canon_sha256": "ed0045e67c1485d8eab65b648bdd88805102425da24443fe91eeefebce7bd985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08087",
    "kind": "arxiv",
    "version": 2
  }
}