Pith Number

pith:GQHAOJRE

pith:2014:GQHAOJREHBP7NBGENV7OC6WSXH

not attested not anchored not stored refs pending

Semistability and Simple Connectivity at Infinity of Finitely Generated Groups with a Finite Series of Commensurated Subgroups

Michael Mihalik

arxiv:1411.0651 v1 · 2014-11-03 · 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{GQHAOJREHBP7NBGENV7OC6WSXH}

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	2026-05-18T00:54:20.842167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340e072624385ff684c46d7ee17ad2b9d24062c480f77bbe78d61467e0d2d717

Aliases

arxiv: 1411.0651 · arxiv_version: 1411.0651v1 · doi: 10.48550/arxiv.1411.0651 · pith_short_12: GQHAOJREHBP7 · pith_short_16: GQHAOJREHBP7NBGE · pith_short_8: GQHAOJRE

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/GQHAOJREHBP7NBGENV7OC6WSXH \
  | 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: 340e072624385ff684c46d7ee17ad2b9d24062c480f77bbe78d61467e0d2d717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b784306df8c375cd7659c0851963b4778a4981cdaf54dcc25ecdbf11c512df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-03T20:38:18Z",
    "title_canon_sha256": "c936a151c0b5ce62126f384e2bd7267d4e980d2dc8559aac728d773c32ac0601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0651",
    "kind": "arxiv",
    "version": 1
  }
}