Pith Number

pith:SE4SYQIG

pith:2026:SE4SYQIGCAVCGCVE6HT43A5AU5

not attested not anchored not stored refs pending

Growth of coamenable normal subgroups in higher rank

Hee Oh, Konstantinos Tsouvalas, Subhadip Dey

arxiv:2606.01459 v1 · 2026-05-31 · math.GR · math.DG · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE4SYQIGCAVCGCVE6HT43A5AU5}

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	2026-06-02T02:04:33.601028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91392c4106102a230aa4f1e7cd83a0a765cb85f4231026012d5902cab30734cb

Aliases

arxiv: 2606.01459 · arxiv_version: 2606.01459v1 · doi: 10.48550/arxiv.2606.01459 · pith_short_12: SE4SYQIGCAVC · pith_short_16: SE4SYQIGCAVCGCVE · pith_short_8: SE4SYQIG

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/SE4SYQIGCAVCGCVE6HT43A5AU5 \
  | 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: 91392c4106102a230aa4f1e7cd83a0a765cb85f4231026012d5902cab30734cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b48ab9766464a691c00ae6d64b9c03ac5e393b2c0ec8e6bb2cd9fc8deb25d41",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-31T21:36:41Z",
    "title_canon_sha256": "10b8222c1b6abbf338f5fa5cdb18e01a9809b8268ef76de8aa8de276af9fb942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01459",
    "kind": "arxiv",
    "version": 1
  }
}