Pith Number

pith:5ANKWMZP

pith:2006:5ANKWMZPHZ5DPL7T2WVYBFF3ZH

not attested not anchored not stored refs pending

Squares of Menger-bounded groups

Boaz Tsaban, Michal Machura, Saharon Shelah

arxiv:math/0611353 v4 · 2006-11-12 · math.GN · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ANKWMZPHZ5DPL7T2WVYBFF3ZH}

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	2026-05-18T04:36:59.691625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81aab332f3e7a37aff3d5ab8094bbc9eb2ce27837be5d4de245dab2f67703ea

Aliases

arxiv: math/0611353 · arxiv_version: math/0611353v4 · doi: 10.48550/arxiv.math/0611353 · pith_short_12: 5ANKWMZPHZ5D · pith_short_16: 5ANKWMZPHZ5DPL7T · pith_short_8: 5ANKWMZP

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/5ANKWMZPHZ5DPL7T2WVYBFF3ZH \
  | 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: e81aab332f3e7a37aff3d5ab8094bbc9eb2ce27837be5d4de245dab2f67703ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e952cb5f51f77acb8111ba4d152a17a5a18645a6be858eda27536af4576c96",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2006-11-12T15:01:41Z",
    "title_canon_sha256": "8da454cbb9e015a149d8e7fc01fa1278134c184c7fbd230758cb6fd9ca08e51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611353",
    "kind": "arxiv",
    "version": 4
  }
}