Pith Number

pith:CUHMXFHT

pith:2011:CUHMXFHTU2PJ7X6QH65NXIKT5N

not attested not anchored not stored refs pending

Finitely presented groups related to Kaplansky's Direct Finiteness Conjecture

Kate Juschenko, Ken Dykema, Timo Heister

arxiv:1112.1790 v4 · 2011-12-08 · math.RA · 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{CUHMXFHTU2PJ7X6QH65NXIKT5N}

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	2026-05-18T02:25:19.205666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150ecb94f3a69e9fdfd03fbadba153eb45cbacd31ceb6334c4b5f49ae7abf22c

Aliases

arxiv: 1112.1790 · arxiv_version: 1112.1790v4 · doi: 10.48550/arxiv.1112.1790 · pith_short_12: CUHMXFHTU2PJ · pith_short_16: CUHMXFHTU2PJ7X6Q · pith_short_8: CUHMXFHT

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/CUHMXFHTU2PJ7X6QH65NXIKT5N \
  | 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: 150ecb94f3a69e9fdfd03fbadba153eb45cbacd31ceb6334c4b5f49ae7abf22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e79b4b17c525b8ad373be0cf4c8eaa2d9781901958555ae6ebaae2059ae5dc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-08T09:21:53Z",
    "title_canon_sha256": "a1f6a10084b84b73e3deceb30df23dc6928d8405338696219e6db6b5fe69f5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1790",
    "kind": "arxiv",
    "version": 4
  }
}