Pith Number

pith:G6CXSWKL

pith:2011:G6CXSWKLDKDAM55UM6WODWOVRH

not attested not anchored not stored refs pending

Model theoretic connected components of finitely generated nilpotent groups

Cong Chen, Jakub Gismatullin, Nathan Bowler

arxiv:1112.3292 v2 · 2011-12-14 · math.LO · math.CO · 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{G6CXSWKLDKDAM55UM6WODWOVRH}

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	2026-05-18T03:46:18.492382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378579594b1a860677b467ace1d9d589e4c4036e1c939474b48880a7dbdac93b

Aliases

arxiv: 1112.3292 · arxiv_version: 1112.3292v2 · doi: 10.48550/arxiv.1112.3292 · pith_short_12: G6CXSWKLDKDA · pith_short_16: G6CXSWKLDKDAM55U · pith_short_8: G6CXSWKL

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/G6CXSWKLDKDAM55UM6WODWOVRH \
  | 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: 378579594b1a860677b467ace1d9d589e4c4036e1c939474b48880a7dbdac93b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f730d978b38a9338069881b02f46ca9438aed84ead2c3f3a7ff099df1b23ea",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-14T18:02:03Z",
    "title_canon_sha256": "1c14c9837f6ccefc9cb71df3bffb0c0a0b86b6e0025b7e05776a63dbda009820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3292",
    "kind": "arxiv",
    "version": 2
  }
}