Pith Number

pith:NASOYTZU

pith:2010:NASOYTZUWYCZYEB4HHLZW2RS7G

not attested not anchored not stored refs pending

Invariants of reflection groups, arrangements, and normality of decomposition classes in Lie algebras

Gerhard Roehrle, J. Matthew Douglass

arxiv:1007.1350 v6 · 2010-07-08 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NASOYTZUWYCZYEB4HHLZW2RS7G}

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	2026-05-18T04:01:13.418358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6824ec4f34b6059c103c39d79b6a32f98236b8afd35c1fc01e87bd1f69ad067f

Aliases

arxiv: 1007.1350 · arxiv_version: 1007.1350v6 · doi: 10.48550/arxiv.1007.1350 · pith_short_12: NASOYTZUWYCZ · pith_short_16: NASOYTZUWYCZYEB4 · pith_short_8: NASOYTZU

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/NASOYTZUWYCZYEB4HHLZW2RS7G \
  | 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: 6824ec4f34b6059c103c39d79b6a32f98236b8afd35c1fc01e87bd1f69ad067f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d937f785b2f06ceb76838267ad676a7723244aea1a4f4d8e3b5c65381bb74c40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-08T11:33:14Z",
    "title_canon_sha256": "ab9882503c5f771e41ea01a6d5ae85ba3b14fbe484f4276ce629f0dd44e2c1a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1350",
    "kind": "arxiv",
    "version": 6
  }
}