Pith Number

pith:3XXWG4MY

pith:2017:3XXWG4MY5AHMJBQSOLRPRCTXQ7

not attested not anchored not stored refs pending

Extension of the product of a post-Lie algebra and application to the SISO feedback transformation group

Lo\"ic Foissy (LMPA)

arxiv:1705.08132 v1 · 2017-05-23 · 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{3XXWG4MY5AHMJBQSOLRPRCTXQ7}

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.

Cited by

1 paper in Pith

On post-Lie structures for free Lie algebras

Receipt and verification

First computed	2026-05-18T00:43:49.262191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddef637198e80ec4861272e2f88a7787cadf8fe86c349b6e7a84b4625c76a119

Aliases

arxiv: 1705.08132 · arxiv_version: 1705.08132v1 · doi: 10.48550/arxiv.1705.08132 · pith_short_12: 3XXWG4MY5AHM · pith_short_16: 3XXWG4MY5AHMJBQS · pith_short_8: 3XXWG4MY

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/3XXWG4MY5AHMJBQSOLRPRCTXQ7 \
  | 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: ddef637198e80ec4861272e2f88a7787cadf8fe86c349b6e7a84b4625c76a119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c4a35e03fcc85519fc185389212a99381f5f3c70cd74c5bc9687ef95b7168d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-23T08:52:54Z",
    "title_canon_sha256": "19a46108dbe238423ae59d7bb89ba7fe721c2ee7f8b25be555102329a4e02842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08132",
    "kind": "arxiv",
    "version": 1
  }
}