Pith Number

pith:3UNKAQR7

pith:2011:3UNKAQR77GMADOGXWDGA5UJ4R3

not attested not anchored not stored refs pending

Subdirect products of groups and the n-(n+1)-(n+2) Conjecture

Benno Kuckuck

arxiv:1107.2590 v2 · 2011-07-13 · 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{3UNKAQR77GMADOGXWDGA5UJ4R3}

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	2026-05-18T03:25:33.553487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1aa0423ff99801b8d7b0cc0ed13c8edbcd07bdc208e581db67e5d42cc72b1c

Aliases

arxiv: 1107.2590 · arxiv_version: 1107.2590v2 · doi: 10.48550/arxiv.1107.2590 · pith_short_12: 3UNKAQR77GMA · pith_short_16: 3UNKAQR77GMADOGX · pith_short_8: 3UNKAQR7

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/3UNKAQR77GMADOGXWDGA5UJ4R3 \
  | 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: dd1aa0423ff99801b8d7b0cc0ed13c8edbcd07bdc208e581db67e5d42cc72b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398436428aa3a761047a163d66884da8650e1757205c55dc86026c0a56f5e7fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-13T16:29:05Z",
    "title_canon_sha256": "d6879fbeaeb5c9927a33ec6d66a8359f0222ba87bea938b050fdb711d45351a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2590",
    "kind": "arxiv",
    "version": 2
  }
}