Pith Number

pith:L7JOBQOA

pith:2026:L7JOBQOAYPW7FYUNQJJAIOFRAE

not attested not anchored not stored refs pending

Exponential growth rates of even Coxeter groups

Michelle Bucher, V\'era Bossart

arxiv:2607.01879 v1 · 2026-07-02 · 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{L7JOBQOAYPW7FYUNQJJAIOFRAE}

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	2026-07-03T01:17:32.388807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd2e0c1c0c3edf2e28d82520438b10136340845c4a34d79c6e925b8b0d2c89d

Aliases

arxiv: 2607.01879 · arxiv_version: 2607.01879v1 · doi: 10.48550/arxiv.2607.01879 · pith_short_12: L7JOBQOAYPW7 · pith_short_16: L7JOBQOAYPW7FYUN · pith_short_8: L7JOBQOA

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/L7JOBQOAYPW7FYUNQJJAIOFRAE \
  | 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: 5fd2e0c1c0c3edf2e28d82520438b10136340845c4a34d79c6e925b8b0d2c89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7cb5c8a0342625e20c91e0a139e1af8e12e949645da05905cf4977b94e51c6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-02T08:34:34Z",
    "title_canon_sha256": "9dc99eebe9a1dec662611692375a1157800304878df92cdef90cdeb281be7057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01879",
    "kind": "arxiv",
    "version": 1
  }
}