Pith Number

pith:IHF4AYKV

pith:2011:IHF4AYKVEQC7CPO2MXYCMXIKT4

not attested not anchored not stored refs pending

Affine actions on Lie groups and post-Lie algebra structures

Dietrich Burde, Karel Dekimpe, Kim Vercammen

arxiv:1109.0251 v1 · 2011-09-01 · math.RA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHF4AYKVEQC7CPO2MXYCMXIKT4}

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	2026-05-18T04:14:16.963715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41cbc061552405f13dda65f0265d0a9f237fe4ef5331bb891069f27defe2a59b

Aliases

arxiv: 1109.0251 · arxiv_version: 1109.0251v1 · doi: 10.48550/arxiv.1109.0251 · pith_short_12: IHF4AYKVEQC7 · pith_short_16: IHF4AYKVEQC7CPO2 · pith_short_8: IHF4AYKV

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/IHF4AYKVEQC7CPO2MXYCMXIKT4 \
  | 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: 41cbc061552405f13dda65f0265d0a9f237fe4ef5331bb891069f27defe2a59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886826c9a99bcf7dbed65d4796b38375eeecb65cdb99f939e21ffdcaf63de841",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-01T18:26:05Z",
    "title_canon_sha256": "b9bbadf1945fb66641ca387783da9b4beed77f1541637ca4f14fe2dfc70bb556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0251",
    "kind": "arxiv",
    "version": 1
  }
}