Pith Number

pith:JAU54H37

pith:2023:JAU54H37ISKDWX73JQYWMXUUIF

not attested not anchored not stored refs pending

Discrete complex reflection groups

Vladimir L. Popov

arxiv:2304.08941 v5 · 2023-04-18 · 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{JAU54H37ISKDWX73JQYWMXUUIF}

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.

Cited by

1 paper in Pith

The lattice of normal reflection subgroups of an irreducible reflection group

Receipt and verification

First computed	2026-07-05T07:44:42.149147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4829de1f7f44943b5ffb4c31665e9441573fbf522198b0c5a5fde5b805cf664a

Aliases

arxiv: 2304.08941 · arxiv_version: 2304.08941v5 · doi: 10.48550/arxiv.2304.08941 · pith_short_12: JAU54H37ISKD · pith_short_16: JAU54H37ISKDWX73 · pith_short_8: JAU54H37

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/JAU54H37ISKDWX73JQYWMXUUIF \
  | 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: 4829de1f7f44943b5ffb4c31665e9441573fbf522198b0c5a5fde5b805cf664a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fcdccf3edc260e92ee798455ad5126d6c09796c12d5bc0c778daa2bc8ea350b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-04-18T12:31:25Z",
    "title_canon_sha256": "48291176a97d0427d6e7301b054bbe9919a8448e72253f3200f913f8493756bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.08941",
    "kind": "arxiv",
    "version": 5
  }
}