Pith Number

pith:MAGNK2FV

pith:2012:MAGNK2FVCTVOJWWMXW4QHC2JGA

not attested not anchored not stored refs pending

An exotic group with the Haagerup property

Mikael Pichot, Sylvain Barre

arxiv:1205.1128 v2 · 2012-05-05 · 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{MAGNK2FVCTVOJWWMXW4QHC2JGA}

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	2026-05-18T03:41:10.649232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600cd568b514eae4daccbdb9038b493013cca5319057d8714c5361dd0c862e24

Aliases

arxiv: 1205.1128 · arxiv_version: 1205.1128v2 · doi: 10.48550/arxiv.1205.1128 · pith_short_12: MAGNK2FVCTVO · pith_short_16: MAGNK2FVCTVOJWWM · pith_short_8: MAGNK2FV

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/MAGNK2FVCTVOJWWMXW4QHC2JGA \
  | 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: 600cd568b514eae4daccbdb9038b493013cca5319057d8714c5361dd0c862e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3db359049c9549e142d682ecc611ccc2acab7053582fdae3799b4467833e452",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-05T12:56:09Z",
    "title_canon_sha256": "a0ae0338a95076b96e466759b1165fe2c7069c753eb2cbdf4d685453bbf5a13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1128",
    "kind": "arxiv",
    "version": 2
  }
}