Pith Number

pith:WPUNJPZU

pith:2026:WPUNJPZUJRDDQOIVF7SVQ6G44F

not attested not anchored not stored refs pending

The lattice of normal reflection subgroups of an irreducible reflection group

Shayne Waldron

arxiv:2607.05466 v1 · 2026-07-06 · 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{WPUNJPZUJRDDQOIVF7SVQ6G44F}

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	2026-07-08T01:18:10.776399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e8d4bf344c463839152fe55878dce14bff964c6ddb0c30667118afa8524035

Aliases

arxiv: 2607.05466 · arxiv_version: 2607.05466v1 · doi: 10.48550/arxiv.2607.05466 · pith_short_12: WPUNJPZUJRDD · pith_short_16: WPUNJPZUJRDDQOIV · pith_short_8: WPUNJPZU

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/WPUNJPZUJRDDQOIVF7SVQ6G44F \
  | 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: b3e8d4bf344c463839152fe55878dce14bff964c6ddb0c30667118afa8524035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700d1e2f81c523449e4702a41b5bbc0e5d3ec6e35d15c50fb2389597be7109bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-06T05:31:24Z",
    "title_canon_sha256": "2a31ffd73142f4275e5a44841e07a52a50557a7262c802b75c9ca2b0907ba662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05466",
    "kind": "arxiv",
    "version": 1
  }
}