Pith Number

pith:O3GHR2HI

pith:2014:O3GHR2HIFV2VC65PMDIE57U4K4

not attested not anchored not stored refs pending

The Waring problem for Lie groups and Chevalley groups

Aner Shalev, Chun Yin Hui, Michael Larsen

arxiv:1404.4786 v1 · 2014-04-18 · 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{O3GHR2HIFV2VC65PMDIE57U4K4}

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	2026-05-18T02:53:54.959101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76cc78e8e82d75517baf60d04efe9c57299e74152b86b147dc55be04218ba9b5

Aliases

arxiv: 1404.4786 · arxiv_version: 1404.4786v1 · doi: 10.48550/arxiv.1404.4786 · pith_short_12: O3GHR2HIFV2V · pith_short_16: O3GHR2HIFV2VC65P · pith_short_8: O3GHR2HI

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/O3GHR2HIFV2VC65PMDIE57U4K4 \
  | 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: 76cc78e8e82d75517baf60d04efe9c57299e74152b86b147dc55be04218ba9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932b20c87d00d5f093ac533f5427f449da5cfce8440b261af72f26895cc59935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-18T13:37:42Z",
    "title_canon_sha256": "7457bc1033bc7a1bcf10fe0e388efdf55e0615f6d37e02e24eec13c60fe8fff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4786",
    "kind": "arxiv",
    "version": 1
  }
}