Pith Number

pith:LOIGXTDK

pith:2026:LOIGXTDKKPZHGH5FJQSKZVY64A

not attested not anchored not stored refs pending

Root Systems, Tits Cones and Imaginary Cones of Brink-Howlett Groupoids

Harrison Gimenez, Matthew Dyer

arxiv:2606.12937 v1 · 2026-06-11 · 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{LOIGXTDKKPZHGH5FJQSKZVY64A}

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	2026-06-12T01:09:34.983376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b906bcc6a53f2731fa54c24acd71ee01a1112b10ad45ba81b7caf567050e07f

Aliases

arxiv: 2606.12937 · arxiv_version: 2606.12937v1 · doi: 10.48550/arxiv.2606.12937 · pith_short_12: LOIGXTDKKPZH · pith_short_16: LOIGXTDKKPZHGH5F · pith_short_8: LOIGXTDK

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/LOIGXTDKKPZHGH5FJQSKZVY64A \
  | 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: 5b906bcc6a53f2731fa54c24acd71ee01a1112b10ad45ba81b7caf567050e07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658a3fed72607e3795841c7abfe53f11e88ea906dca64150083ec67aa07c2aa4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-11T06:00:07Z",
    "title_canon_sha256": "e6f8d0386066e55aceb012c60bd49041c28cc8c8b18ac9d3af1d81993af650d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12937",
    "kind": "arxiv",
    "version": 1
  }
}