Pith Number

pith:DAFXLMC3

pith:2016:DAFXLMC3CJI72TKCH3PGJAXP2F

not attested not anchored not stored refs pending

The lower rank of direct products of hereditarily just infinite groups

Benjamin Klopsch, Matteo Vannacci

arxiv:1603.05383 v3 · 2016-03-17 · 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{DAFXLMC3CJI72TKCH3PGJAXP2F}

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	2026-05-18T00:26:08.828946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180b75b05b1251fd4d423ede6482efd15847e2ead584d2017bc544310dfd7c23

Aliases

arxiv: 1603.05383 · arxiv_version: 1603.05383v3 · doi: 10.48550/arxiv.1603.05383 · pith_short_12: DAFXLMC3CJI7 · pith_short_16: DAFXLMC3CJI72TKC · pith_short_8: DAFXLMC3

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/DAFXLMC3CJI72TKCH3PGJAXP2F \
  | 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: 180b75b05b1251fd4d423ede6482efd15847e2ead584d2017bc544310dfd7c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99fd75b278bfb8a5007d063752bb928e46c90ab20db53d2a636647cc8f98178b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-17T08:07:13Z",
    "title_canon_sha256": "cc6ddd04a1668767bbead21469e2405471bb258cb7dc207f9d689765aff163cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05383",
    "kind": "arxiv",
    "version": 3
  }
}