Pith Number

pith:V3SRFZ3O

pith:2023:V3SRFZ3OHZXCBFSHIZEGPVNABZ

not attested not anchored not stored refs pending

Homology and K-theory of dynamical systems. IV. Further structural results on groupoid homology

Makoto Yamashita, Valerio Proietti

arxiv:2310.09928 v2 · 2023-10-15 · math.KT · math.DS · math.OA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3SRFZ3OHZXCBFSHIZEGPVNABZ}

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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

A trace pairing and Elliott invariant for groupoid homology

Receipt and verification

First computed	2026-07-05T11:55:13.161401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee512e76e3e6e209647464867d5a00e778e826c425dc93c756df044787a5386

Aliases

arxiv: 2310.09928 · arxiv_version: 2310.09928v2 · doi: 10.48550/arxiv.2310.09928 · pith_short_12: V3SRFZ3OHZXC · pith_short_16: V3SRFZ3OHZXCBFSH · pith_short_8: V3SRFZ3O

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/V3SRFZ3OHZXCBFSHIZEGPVNABZ \
  | 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: aee512e76e3e6e209647464867d5a00e778e826c425dc93c756df044787a5386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe31deec0efbd6b6d4228f87f46a90d5a56048086b5a73883a925a4879d5378",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2023-10-15T19:33:48Z",
    "title_canon_sha256": "770dda39d2b3db06c09196a268d9955590f40da86aa20ee0b706f552d82094d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09928",
    "kind": "arxiv",
    "version": 2
  }
}