Pith Number

pith:VP5YEB7I

pith:2011:VP5YEB7IMAPRM5TPQOKHKI27LZ

not attested not anchored not stored refs pending

Commensurators and classifying spaces with virtually cyclic stabilizers

Dieter Degrijse, Nansen Petrosyan

arxiv:1108.6279 v1 · 2011-08-31 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP5YEB7IMAPRM5TPQOKHKI27LZ}

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	2026-05-18T04:14:26.629660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abfb8207e8601f16766f839475235f5e48b1bcc149a35a2d56b4c737aac1d1c0

Aliases

arxiv: 1108.6279 · arxiv_version: 1108.6279v1 · doi: 10.48550/arxiv.1108.6279 · pith_short_12: VP5YEB7IMAPR · pith_short_16: VP5YEB7IMAPRM5TP · pith_short_8: VP5YEB7I

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/VP5YEB7IMAPRM5TPQOKHKI27LZ \
  | 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: abfb8207e8601f16766f839475235f5e48b1bcc149a35a2d56b4c737aac1d1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a20d468b8bc0fa19852bf2694608f1b32e99b723e679d834f20fff3bbc3306",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-08-31T16:02:00Z",
    "title_canon_sha256": "bb98ca36b226f05e58039b5d76c6c0ce5ba2cc44ad078193bb0d346c466199b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6279",
    "kind": "arxiv",
    "version": 1
  }
}