Pith Number

pith:SB2VFI5J

pith:2013:SB2VFI5JZZMTHNAKOHF4F74BEQ

not attested not anchored not stored refs pending

On the Fitting height of soluble groups admitting a coprime factorisation

Carlo Casolo, Enrico Jabara, Pablo Spiga

arxiv:1311.4314 v1 · 2013-11-18 · 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{SB2VFI5JZZMTHNAKOHF4F74BEQ}

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	2026-05-18T03:06:53.044340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907552a3a9ce5933b40a71cbc2ff812404c5c7c92979f0f45cc65230006d69ab

Aliases

arxiv: 1311.4314 · arxiv_version: 1311.4314v1 · doi: 10.48550/arxiv.1311.4314 · pith_short_12: SB2VFI5JZZMT · pith_short_16: SB2VFI5JZZMTHNAK · pith_short_8: SB2VFI5J

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/SB2VFI5JZZMTHNAKOHF4F74BEQ \
  | 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: 907552a3a9ce5933b40a71cbc2ff812404c5c7c92979f0f45cc65230006d69ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9297c94bf9ffd445610abf5a1f3b8c46a5ceb96f6b68ce6c65b8b7e031a26d6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-18T10:11:21Z",
    "title_canon_sha256": "fec2db1961baa05ef0733b52d5e9439fc39ba4260ec52fb4b777f915bf0a1ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4314",
    "kind": "arxiv",
    "version": 1
  }
}