Pith Number

pith:X3UUCO7G

pith:2011:X3UUCO7GNEUII2EWMEZYGOZKIT

not attested not anchored not stored refs pending

On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups

Brita E. A. Nucinkis, Martin Fluch

arxiv:1104.0588 v2 · 2011-04-04 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3UUCO7GNEUII2EWMEZYGOZKIT}

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	2026-05-18T04:04:17.076429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee9413be669288468966133833b2a44fc0bb4d511537e675db8314c06130ae3

Aliases

arxiv: 1104.0588 · arxiv_version: 1104.0588v2 · doi: 10.48550/arxiv.1104.0588 · pith_short_12: X3UUCO7GNEUI · pith_short_16: X3UUCO7GNEUII2EW · pith_short_8: X3UUCO7G

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/X3UUCO7GNEUII2EWMEZYGOZKIT \
  | 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: bee9413be669288468966133833b2a44fc0bb4d511537e675db8314c06130ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383e2018c09580f1f036bbc5c366ef1657339cdd48ab7f28b302352e8557268c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-04T14:44:04Z",
    "title_canon_sha256": "3162d8fa43709eee6b9052b22a56fd551640559dcb4f9bafbe5a80f8852f69a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0588",
    "kind": "arxiv",
    "version": 2
  }
}