Pith Number

pith:MLFSAWGN

pith:2026:MLFSAWGNYMQBQGF7DEX3F5C7OY

not attested not anchored not stored refs pending

Zariski density of discrete subgroups via critical exponents and unitary representations

Aleksander Skenderi

arxiv:2608.04966 v1 · 2026-08-05 · math.GR · math.DS · math.GT · 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{MLFSAWGNYMQBQGF7DEX3F5C7OY}

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	2026-08-06T01:47:58.062794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62cb2058cdc3201818bf192fb2f45f7636382077229dffa0ff7ea00047e56acd

Aliases

arxiv: 2608.04966 · arxiv_version: 2608.04966v1 · doi: 10.48550/arxiv.2608.04966 · pith_short_12: MLFSAWGNYMQB · pith_short_16: MLFSAWGNYMQBQGF7 · pith_short_8: MLFSAWGN

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/MLFSAWGNYMQBQGF7DEX3F5C7OY \
  | 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: 62cb2058cdc3201818bf192fb2f45f7636382077229dffa0ff7ea00047e56acd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eaf3268b6af0bbeaa83d4a87a2c3eb1b115b3e1d3d10bcc61313478d48f806e",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-05T15:36:02Z",
    "title_canon_sha256": "385985bf918e3e4592da69a96a50e33ea04df8e741c5086ef683971336757f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04966",
    "kind": "arxiv",
    "version": 1
  }
}