Pith Number

pith:CQ3VHON6

pith:2014:CQ3VHON6DAWGFJUIWLZEM653S5

not attested not anchored not stored refs pending

The $R_{\infty}$ property for Houghton's groups

Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee

arxiv:1412.8767 v3 · 2014-12-30 · 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{CQ3VHON6DAWGFJUIWLZEM653S5}

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	2026-05-18T02:22:28.808938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143753b9be182c62a688b2f2467bbb97522bf029e95316c1819f751e84137bf7

Aliases

arxiv: 1412.8767 · arxiv_version: 1412.8767v3 · doi: 10.48550/arxiv.1412.8767 · pith_short_12: CQ3VHON6DAWG · pith_short_16: CQ3VHON6DAWGFJUI · pith_short_8: CQ3VHON6

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/CQ3VHON6DAWGFJUIWLZEM653S5 \
  | 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: 143753b9be182c62a688b2f2467bbb97522bf029e95316c1819f751e84137bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dc550db9784e7ccf8d6f4855bc064d475374781ed73e8e50206ea633cda16d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-30T20:57:33Z",
    "title_canon_sha256": "47ef322bfd344d9b7af43f62c0c7e3efd4a0529a463fbf8ea7c908fc56999eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8767",
    "kind": "arxiv",
    "version": 3
  }
}