Pith Number

pith:DZ67Q7ZP

pith:2016:DZ67Q7ZPQUQYK5WPN5GYHDW5GD

not attested not anchored not stored refs pending

K-homology and K-theory for the lamplighter groups of finite groups

Alain Valette, Ram\'on Flores, Sanaz Pooya

arxiv:1610.02798 v2 · 2016-10-10 · math.OA · math.AT · 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{DZ67Q7ZPQUQYK5WPN5GYHDW5GD}

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	2026-05-18T00:35:59.738860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7df87f2f85218576cf6f4d838edd30c13431ba76f2eea00212c5ea4d65e3ee

Aliases

arxiv: 1610.02798 · arxiv_version: 1610.02798v2 · doi: 10.48550/arxiv.1610.02798 · pith_short_12: DZ67Q7ZPQUQY · pith_short_16: DZ67Q7ZPQUQYK5WP · pith_short_8: DZ67Q7ZP

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/DZ67Q7ZPQUQYK5WPN5GYHDW5GD \
  | 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: 1e7df87f2f85218576cf6f4d838edd30c13431ba76f2eea00212c5ea4d65e3ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8309f7a1e6693a4c137d0ffa9062fba06bd83bf5bd8ffdc0d14e35e53ad2816a",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-10-10T08:22:33Z",
    "title_canon_sha256": "fc1da9e72c236bce03d30423c61a5927af594407e18efc930425d5b010cbd48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02798",
    "kind": "arxiv",
    "version": 2
  }
}