Pith Number

pith:XCIJTFF2

pith:2011:XCIJTFF252IXLKBNHBMH7AWQ2T

not attested not anchored not stored refs pending

Unitary representations of oligomorphic groups

Todor Tsankov

arxiv:1101.2194 v2 · 2011-01-11 · math.GR · math.LO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCIJTFF252IXLKBNHBMH7AWQ2T}

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	2026-05-18T03:55:23.590924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8909994baee9175a82d38587f82d0d4e04dd6dab4fa9d79f007d1426e540916

Aliases

arxiv: 1101.2194 · arxiv_version: 1101.2194v2 · doi: 10.48550/arxiv.1101.2194 · pith_short_12: XCIJTFF252IX · pith_short_16: XCIJTFF252IXLKBN · pith_short_8: XCIJTFF2

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/XCIJTFF252IXLKBNHBMH7AWQ2T \
  | 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: b8909994baee9175a82d38587f82d0d4e04dd6dab4fa9d79f007d1426e540916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b34512091f2b737b6157ecb60fd0808b47261f785bd7f0fac96b3ea8ac1064d",
    "cross_cats_sorted": [
      "math.LO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-11T20:18:19Z",
    "title_canon_sha256": "1cfcb8b4322d6924d9a033e4f4ca1fd28022c7e22cc8d7e9ad6c02cb75176971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2194",
    "kind": "arxiv",
    "version": 2
  }
}