Pith Number

pith:EFTHSFOE

pith:2016:EFTHSFOEMNZX5Y24UYVVWHRTBI

not attested not anchored not stored refs pending

Enumeration of Commuting Pairs in Lie Algebras over Finite Fields

Jason Fulman, Robert Guralnick

arxiv:1611.05499 v1 · 2016-11-16 · math.CO · 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{EFTHSFOEMNZX5Y24UYVVWHRTBI}

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	2026-05-18T00:58:03.385172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21667915c463737ee35ca62b5b1e330a022fda37244daff0ddf1d689f5d739a9

Aliases

arxiv: 1611.05499 · arxiv_version: 1611.05499v1 · doi: 10.48550/arxiv.1611.05499 · pith_short_12: EFTHSFOEMNZX · pith_short_16: EFTHSFOEMNZX5Y24 · pith_short_8: EFTHSFOE

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/EFTHSFOEMNZX5Y24UYVVWHRTBI \
  | 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: 21667915c463737ee35ca62b5b1e330a022fda37244daff0ddf1d689f5d739a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00797ef9604e53abc0aed49ae86f930b94f33085d2bcbd053fbc1a030651e0d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-16T23:25:33Z",
    "title_canon_sha256": "cede388ea78aa2ebd822f87bbb8e8a4c3bffa0e0d4104712a6663cd9ec8c48fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05499",
    "kind": "arxiv",
    "version": 1
  }
}