Pith Number

pith:4OWVQULR

pith:2010:4OWVQULR6RWECON4JPVNGL3EQY

not attested not anchored not stored refs pending

A decomposition theorem for compact groups with application to supercompactness

S{\l}awomir Turek, Wies{\l}aw Kubi\'s

arxiv:1010.3329 v1 · 2010-10-16 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OWVQULR6RWECON4JPVNGL3EQY}

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	2026-05-18T03:42:44.944485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ad585171f46c4139bc4bead32f6486171d935a74ce4c392b0910987143c0bb

Aliases

arxiv: 1010.3329 · arxiv_version: 1010.3329v1 · doi: 10.48550/arxiv.1010.3329 · pith_short_12: 4OWVQULR6RWE · pith_short_16: 4OWVQULR6RWECON4 · pith_short_8: 4OWVQULR

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/4OWVQULR6RWECON4JPVNGL3EQY \
  | 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: e3ad585171f46c4139bc4bead32f6486171d935a74ce4c392b0910987143c0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e5b585e58076c35adf6034e0c1c89afe92ae58203eacae72cb7e979b7008fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-10-16T06:57:44Z",
    "title_canon_sha256": "11efa2c26d4e9699e0e6d0c3d18e50f05eae560e9dd2899e8b94bc4fddb90b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3329",
    "kind": "arxiv",
    "version": 1
  }
}