Pith Number

pith:3LTQ227I

pith:2026:3LTQ227IHTERW7J5HIRLWVMI5D

not attested not anchored not stored refs pending

Parabolic subgroups of Dyer groups

Giovanni Sartori, Mar\'ia Cumplido, Marina Salamero, Mireille Soergel

arxiv:2607.00181 v1 · 2026-06-30 · 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{3LTQ227IHTERW7J5HIRLWVMI5D}

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	2026-07-02T00:18:38.144613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae70d6be83cc91b7d3d3a22bb5588e8e9e9275b875f1a241fcbf889a498e2ee

Aliases

arxiv: 2607.00181 · arxiv_version: 2607.00181v1 · doi: 10.48550/arxiv.2607.00181 · pith_short_12: 3LTQ227IHTER · pith_short_16: 3LTQ227IHTERW7J5 · pith_short_8: 3LTQ227I

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/3LTQ227IHTERW7J5HIRLWVMI5D \
  | 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: dae70d6be83cc91b7d3d3a22bb5588e8e9e9275b875f1a241fcbf889a498e2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ed9f3d603006b83663686a1ccf622a05113cc90267d5169f216dd127a541d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-30T20:55:52Z",
    "title_canon_sha256": "7b0d27cac9b32b03c03b27a8d326a29bc502c7078c1d5e6dc1a97fbf0260df92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00181",
    "kind": "arxiv",
    "version": 1
  }
}