Pith Number

pith:WVM3V6CR

pith:2012:WVM3V6CRP3SFGX3KBLXL4Y7YNV

not attested not anchored not stored refs pending

Lie algebras with associative structures. Applications to the study of 2-step nilpotent Lie algebras

Elisabeth Remm, Michel Goze

arxiv:1201.2674 v3 · 2012-01-12 · 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{WVM3V6CRP3SFGX3KBLXL4Y7YNV}

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	2026-05-18T03:11:09.762889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b559baf8517ee4535f6a0aeebe63f86d49d82c7bc291c8f24b81774983226459

Aliases

arxiv: 1201.2674 · arxiv_version: 1201.2674v3 · doi: 10.48550/arxiv.1201.2674 · pith_short_12: WVM3V6CRP3SF · pith_short_16: WVM3V6CRP3SFGX3K · pith_short_8: WVM3V6CR

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/WVM3V6CRP3SFGX3KBLXL4Y7YNV \
  | 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: b559baf8517ee4535f6a0aeebe63f86d49d82c7bc291c8f24b81774983226459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5057753d26adcb16d30d963429fe66259b4d478863507cad580b45ee25eafdfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-12T20:55:39Z",
    "title_canon_sha256": "186fd0eeb9366248df8579814f5ba69a27f1040c51b53e4b098fc51d64cedb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2674",
    "kind": "arxiv",
    "version": 3
  }
}