Pith Number

pith:RIINO2LS

pith:2011:RIINO2LSP6LR6RPOPFJKO32YX4

not attested not anchored not stored refs pending

Answer to a question on $A$-groups, arisen from the study of Steinitz classes

Alessandro Cobbe, Maurizio Monge

arxiv:1109.2065 v2 · 2011-09-09 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIINO2LSP6LR6RPOPFJKO32YX4}

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	2026-05-18T01:20:02.220213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a10d769727f971f45ee7952a76f58bf1b62b9d90d1b025f525a73b8b2ce34d1

Aliases

arxiv: 1109.2065 · arxiv_version: 1109.2065v2 · doi: 10.48550/arxiv.1109.2065 · pith_short_12: RIINO2LSP6LR · pith_short_16: RIINO2LSP6LR6RPO · pith_short_8: RIINO2LS

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/RIINO2LSP6LR6RPOPFJKO32YX4 \
  | 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: 8a10d769727f971f45ee7952a76f58bf1b62b9d90d1b025f525a73b8b2ce34d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e781449b42e7c125b8e0bc39d140821c1f8126091a23fd74d5958bbdfba064",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-09T16:59:19Z",
    "title_canon_sha256": "0d18203e7c6f37681b3aeb9fdbdcd5c0dc270e93347ff162931cebe2cad3ff85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2065",
    "kind": "arxiv",
    "version": 2
  }
}