Pith Number

pith:B7ZJ7WVK

pith:2014:B7ZJ7WVKQX5NGQQE6RZ2XPH6Q5

not attested not anchored not stored refs pending

On the dimensions of commutative subalgebras and subgroups of nilpotent algebras and Lie groups of class 2

Maria V. Milentyeva

arxiv:1408.2315 v1 · 2014-08-11 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7ZJ7WVKQX5NGQQE6RZ2XPH6Q5}

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	2026-05-18T02:45:29.720607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff29fdaaa85fad34204f473abbcfe87604519604e52aff784522f0059aa031b

Aliases

arxiv: 1408.2315 · arxiv_version: 1408.2315v1 · doi: 10.48550/arxiv.1408.2315 · pith_short_12: B7ZJ7WVKQX5N · pith_short_16: B7ZJ7WVKQX5NGQQE · pith_short_8: B7ZJ7WVK

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/B7ZJ7WVKQX5NGQQE6RZ2XPH6Q5 \
  | 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: 0ff29fdaaa85fad34204f473abbcfe87604519604e52aff784522f0059aa031b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f7f00e986ec6b51607958be90b8dbfe0c4a86306ba457ca617c55a0235e81e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-08-11T05:28:12Z",
    "title_canon_sha256": "732ff76a94163f498983bcf1413fcd21804b0cb0fdd24d878008ea66fff3b6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2315",
    "kind": "arxiv",
    "version": 1
  }
}