Pith Number

pith:S6PILHQK

pith:2017:S6PILHQKJH6OHQ7VOHII2SWOJR

not attested not anchored not stored refs pending

Parabolic subgroup orbits on finite root systems

G. I. Lehrer, M. J. Dyer

arxiv:1708.00913 v1 · 2017-08-02 · 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{S6PILHQKJH6OHQ7VOHII2SWOJR}

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	2026-05-18T00:38:41.175856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979e859e0a49fce3c3f571d08d4ace4c7e71d411ab56983a7c1f1d716b11151f

Aliases

arxiv: 1708.00913 · arxiv_version: 1708.00913v1 · doi: 10.48550/arxiv.1708.00913 · pith_short_12: S6PILHQKJH6O · pith_short_16: S6PILHQKJH6OHQ7V · pith_short_8: S6PILHQK

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/S6PILHQKJH6OHQ7VOHII2SWOJR \
  | 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: 979e859e0a49fce3c3f571d08d4ace4c7e71d411ab56983a7c1f1d716b11151f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff13bb8c65e79e18de659745d4a9daa1462f462b36f39c9b7b7839aa02bedf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-02T20:01:24Z",
    "title_canon_sha256": "64f375fd521bedc58972df1f89ab9f6c931a8bebf6b32ba33902e9a98059afe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00913",
    "kind": "arxiv",
    "version": 1
  }
}