Pith Number

pith:AH5V2OAY

pith:2024:AH5V2OAYLWT23MJGVD3ETEV2BB

not attested not anchored not stored refs pending

Averaging operators on groups, racks and Leibniz algebras

Apurba Das

arxiv:2403.06250 v1 · 2024-03-10 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AH5V2OAYLWT23MJGVD3ETEV2BB}

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

An integration of Lie-Leibniz triples

Receipt and verification

First computed	2026-07-05T07:54:21.096970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01fb5d38185da7adb126a8f64992ba084a87e65778a7146beaac118c40f599fd

Aliases

arxiv: 2403.06250 · arxiv_version: 2403.06250v1 · doi: 10.48550/arxiv.2403.06250 · pith_short_12: AH5V2OAYLWT2 · pith_short_16: AH5V2OAYLWT23MJG · pith_short_8: AH5V2OAY

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/AH5V2OAYLWT23MJGVD3ETEV2BB \
  | 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: 01fb5d38185da7adb126a8f64992ba084a87e65778a7146beaac118c40f599fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e97ef411a996a93196523a02ec1b66ccba8f573a4ed7c77ac0a049d2b55bca2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-03-10T16:23:29Z",
    "title_canon_sha256": "35b40327fa1bcec65f8c245c9d1a3d982727c9a289233997b21d57c67f7aff0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.06250",
    "kind": "arxiv",
    "version": 1
  }
}