Pith Number

pith:ODITYEH2

pith:2015:ODITYEH2QZ6W5D3D6J7Y3N6MCW

not attested not anchored not stored refs pending

GK-dimension of the Lie algebra of generic $2\times 2$ matrices

Gustavo Grings Machado, Plamen Koshlukov, Vesselin Drensky

arxiv:1503.02091 v2 · 2015-03-06 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODITYEH2QZ6W5D3D6J7Y3N6MCW}

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	2026-05-18T01:23:16.610018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d13c10fa867d6e8f63f27f8db7cc158e6657d3d13a1c5456687803be85aa4d

Aliases

arxiv: 1503.02091 · arxiv_version: 1503.02091v2 · doi: 10.48550/arxiv.1503.02091 · pith_short_12: ODITYEH2QZ6W · pith_short_16: ODITYEH2QZ6W5D3D · pith_short_8: ODITYEH2

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/ODITYEH2QZ6W5D3D6J7Y3N6MCW \
  | 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: 70d13c10fa867d6e8f63f27f8db7cc158e6657d3d13a1c5456687803be85aa4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b045d5353a03e0cdf439e3ee07d108035b4080f00d69edf385e28cfd744b3fa0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-06T21:25:03Z",
    "title_canon_sha256": "3a7f7373399514804b28aa30c68155313d97732727d81dbf10ec11e7a9de5220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02091",
    "kind": "arxiv",
    "version": 2
  }
}