Pith Number

pith:7IFCNRZC

pith:2011:7IFCNRZCMFO26CTMTZYMGIBOV6

not attested not anchored not stored refs pending

2-subnormal quadratic offenders and Oliver's p-group conjecture

Justin Lynd

arxiv:1112.1467 v1 · 2011-12-07 · 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{7IFCNRZCMFO26CTMTZYMGIBOV6}

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	2026-05-18T00:52:02.512727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa0a26c722615daf0a6c9e70c3202eaf8da1329df0589f82d38af906651486ce

Aliases

arxiv: 1112.1467 · arxiv_version: 1112.1467v1 · doi: 10.48550/arxiv.1112.1467 · pith_short_12: 7IFCNRZCMFO2 · pith_short_16: 7IFCNRZCMFO26CTM · pith_short_8: 7IFCNRZC

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/7IFCNRZCMFO26CTMTZYMGIBOV6 \
  | 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: fa0a26c722615daf0a6c9e70c3202eaf8da1329df0589f82d38af906651486ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00dac10e47faccd807b48a3fae0532ca8179aba252880c751c1f9af0f7160d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-07T03:38:50Z",
    "title_canon_sha256": "47b29899a791addcc3542263f4a80675d3c1393a4ce8a2ec6d0fcd9c53d79136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1467",
    "kind": "arxiv",
    "version": 1
  }
}