Pith Number

pith:Z55NQO2O

pith:2013:Z55NQO2OYUTADN5AA7IKQARXR7

not attested not anchored not stored refs pending

Invariant means for the wobbling group

Kate Juschenko, Mikael de la Salle

arxiv:1301.4736 v4 · 2013-01-21 · math.GR · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z55NQO2OYUTADN5AA7IKQARXR7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:33:44.478135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7ad83b4ec52601b7a007d0a802378fda0cf94eed14f716421347e2fe130fb9

Aliases

arxiv: 1301.4736 · arxiv_version: 1301.4736v4 · doi: 10.48550/arxiv.1301.4736 · pith_short_12: Z55NQO2OYUTA · pith_short_16: Z55NQO2OYUTADN5A · pith_short_8: Z55NQO2O

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/Z55NQO2OYUTADN5AA7IKQARXR7 \
  | 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: cf7ad83b4ec52601b7a007d0a802378fda0cf94eed14f716421347e2fe130fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6a618caf6421cd41e94ff1fa4d937778dfaa44bfdd1a9a800b8c5ce0560076",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-21T02:50:57Z",
    "title_canon_sha256": "4391875fc20bfbd3c19e5953178e7dfe7ef78c7b420166fec44e9ed6be1b5cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4736",
    "kind": "arxiv",
    "version": 4
  }
}