Pith Number

pith:B73GNPDP

pith:2013:B73GNPDP7KPUMO3P64KIJZZDDY

not attested not anchored not stored refs pending

Growth of subalgebras and subideals in free Lie algebras

Alexander Olshanskii, Yuri Bahturin

arxiv:1307.1438 v4 · 2013-07-04 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B73GNPDP7KPUMO3P64KIJZZDDY}

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	2026-05-18T03:11:57.261008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff666bc6ffa9f463b6ff71484e7231e3e22493e9ab2303f5461e5546d39c426

Aliases

arxiv: 1307.1438 · arxiv_version: 1307.1438v4 · doi: 10.48550/arxiv.1307.1438 · pith_short_12: B73GNPDP7KPU · pith_short_16: B73GNPDP7KPUMO3P · pith_short_8: B73GNPDP

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/B73GNPDP7KPUMO3P64KIJZZDDY \
  | 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: 0ff666bc6ffa9f463b6ff71484e7231e3e22493e9ab2303f5461e5546d39c426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90f9684b34bb3e9aabfcac8c3af60bd134f64f944674abfe612d6784c279dc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-04T18:09:16Z",
    "title_canon_sha256": "6daf8f8305844159d4eb2ed41a386b74357f61aadc4a30f3bf2eb5c63f0a1993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1438",
    "kind": "arxiv",
    "version": 4
  }
}