Pith Number

pith:MA2GTZH3

pith:2019:MA2GTZH3GSKQLPCU4VEAJ7PHZX

not attested not anchored not stored refs pending

Ozawa's class $\mathcal S$ for locally compact groups and unique prime factorization

Tobe Deprez

arxiv:1904.02090 v2 · 2019-04-03 · math.OA · math.DS · 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{MA2GTZH3GSKQLPCU4VEAJ7PHZX}

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	2026-05-17T23:47:43.666563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603469e4fb349505bc54e54804fde7cdf1d0e7ed8705bf7617ae70d0205661ac

Aliases

arxiv: 1904.02090 · arxiv_version: 1904.02090v2 · doi: 10.48550/arxiv.1904.02090 · pith_short_12: MA2GTZH3GSKQ · pith_short_16: MA2GTZH3GSKQLPCU · pith_short_8: MA2GTZH3

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/MA2GTZH3GSKQLPCU4VEAJ7PHZX \
  | 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: 603469e4fb349505bc54e54804fde7cdf1d0e7ed8705bf7617ae70d0205661ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e4cb341b99651ea12eced5c6907c7345108cf2993b79e575df1726b1429c20",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-04-03T16:35:27Z",
    "title_canon_sha256": "5599f4f3c9a0e5c07c5b0aab2ebf2dfaa983ecc8e46f6ceeb94eb4ec667c93ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02090",
    "kind": "arxiv",
    "version": 2
  }
}