Pith Number

pith:A5H2MDLD

pith:2015:A5H2MDLDLNQNMWNRHTLUFLYNX4

not attested not anchored not stored refs pending

Companion Lie Algebras of Leibniz Algebras

Allison McAlister, Ashley White, Ernie Stitzinger

arxiv:1512.05752 v1 · 2015-12-17 · 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{A5H2MDLDLNQNMWNRHTLUFLYNX4}

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	2026-05-18T01:24:09.376246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074fa60d635b60d659b13cd742af0dbf09500e58a94a35621e58428b879c1e2c

Aliases

arxiv: 1512.05752 · arxiv_version: 1512.05752v1 · doi: 10.48550/arxiv.1512.05752 · pith_short_12: A5H2MDLDLNQN · pith_short_16: A5H2MDLDLNQNMWNR · pith_short_8: A5H2MDLD

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/A5H2MDLDLNQNMWNRHTLUFLYNX4 \
  | 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: 074fa60d635b60d659b13cd742af0dbf09500e58a94a35621e58428b879c1e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6dec1176399f37dd3b19cbd543e1d4479da0c5b4dc19a40ae47dc09cfa7b11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-17T20:22:42Z",
    "title_canon_sha256": "98b3ba87e248ef98106537af503da617fb853f254af43d2d9d67bbcd64ed0415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05752",
    "kind": "arxiv",
    "version": 1
  }
}