Pith Number

pith:K56LQWXR

pith:2014:K56LQWXRLYS42ZG4JPNAHFDMYA

not attested not anchored not stored refs pending

On the Koszul map of Lie algebras

Yves Cornulier

arxiv:1403.3895 v2 · 2014-03-16 · math.RA · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K56LQWXRLYS42ZG4JPNAHFDMYA}

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	2026-05-18T01:19:34.639283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577cb85af15e25cd64dc4bda03946cc0252dcf1cc225253dd4f37d5cf770da7c

Aliases

arxiv: 1403.3895 · arxiv_version: 1403.3895v2 · doi: 10.48550/arxiv.1403.3895 · pith_short_12: K56LQWXRLYS4 · pith_short_16: K56LQWXRLYS42ZG4 · pith_short_8: K56LQWXR

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/K56LQWXRLYS42ZG4JPNAHFDMYA \
  | 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: 577cb85af15e25cd64dc4bda03946cc0252dcf1cc225253dd4f37d5cf770da7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eceea9fd7f66390b0398e409f0e3170d770a8e6d2ecd6e03a439325d1168acc",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-16T09:50:14Z",
    "title_canon_sha256": "9d31de8405d7e678edc4489e3698ce508be419ff4418862bf7e55e83f2e42119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3895",
    "kind": "arxiv",
    "version": 2
  }
}