Pith Number

pith:FHGKTJ2B

pith:2013:FHGKTJ2B3D5I5CIJMQZHYJJK3R

not attested not anchored not stored refs pending

Solvable Leibniz Algebras with Heisenberg Nilradical

Jonathan D. Dunbar, J.T. Hird, Kristen Stagg, Lindsey Bosko-Dunbar

arxiv:1307.8447 v2 · 2013-07-31 · 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{FHGKTJ2B3D5I5CIJMQZHYJJK3R}

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	2026-05-18T02:42:14.955516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cca9a741d8fa8e890964327c252adc680e1099d1b53c456dd30ba23424f924

Aliases

arxiv: 1307.8447 · arxiv_version: 1307.8447v2 · doi: 10.48550/arxiv.1307.8447 · pith_short_12: FHGKTJ2B3D5I · pith_short_16: FHGKTJ2B3D5I5CIJ · pith_short_8: FHGKTJ2B

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/FHGKTJ2B3D5I5CIJMQZHYJJK3R \
  | 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: 29cca9a741d8fa8e890964327c252adc680e1099d1b53c456dd30ba23424f924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494440eaa2c0b467841b1276aec0f7ba90d8b23958545db1391b291002943f7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-31T19:58:23Z",
    "title_canon_sha256": "b55f403a69282c1501d062a8150603955314cbd0d6558fb78b51d7d65439d448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8447",
    "kind": "arxiv",
    "version": 2
  }
}