Pith Number

pith:TQ4Y4RIS

pith:2012:TQ4Y4RISWRMAUUP4ESNJGPYB6D

not attested not anchored not stored refs pending

Syndetic submeasures and partitions of $G$-spaces and groups

Igor Protasov, Sergiy Slobodianiuk, Taras Banakh

arxiv:1210.5804 v5 · 2012-10-22 · math.GR · 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{TQ4Y4RISWRMAUUP4ESNJGPYB6D}

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	2026-05-18T02:32:14.604916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c398e4512b4580a51fc249a933f01f0ec3e5a07aab0a4b30799b887bccbf18c

Aliases

arxiv: 1210.5804 · arxiv_version: 1210.5804v5 · doi: 10.48550/arxiv.1210.5804 · pith_short_12: TQ4Y4RISWRMA · pith_short_16: TQ4Y4RISWRMAUUP4 · pith_short_8: TQ4Y4RIS

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/TQ4Y4RISWRMAUUP4ESNJGPYB6D \
  | 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: 9c398e4512b4580a51fc249a933f01f0ec3e5a07aab0a4b30799b887bccbf18c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0237477ddc600aedf224302face484914d3d548e89646c4b05d82c243177d1",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-22T04:58:58Z",
    "title_canon_sha256": "1a2a099698a6f2dda92b2d07af0ac569940454d7073df7f28b803849af867115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5804",
    "kind": "arxiv",
    "version": 5
  }
}