Pith Number

pith:WPJ3GHJJ

pith:2011:WPJ3GHJJ47TEKU5GJ4ACKSMRRA

not attested not anchored not stored refs pending

Hom-dendriform algebras and Rota-Baxter Hom-algebras

Abdenacer Makhlouf

arxiv:1101.0435 v1 · 2011-01-02 · math.RA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPJ3GHJJ47TEKU5GJ4ACKSMRRA}

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	2026-05-18T04:32:10.377564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d3b31d29e7e64553a64f00254991880718c860c49daff4aa0e6aa72e976f5b

Aliases

arxiv: 1101.0435 · arxiv_version: 1101.0435v1 · doi: 10.48550/arxiv.1101.0435 · pith_short_12: WPJ3GHJJ47TE · pith_short_16: WPJ3GHJJ47TEKU5G · pith_short_8: WPJ3GHJJ

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/WPJ3GHJJ47TEKU5GJ4ACKSMRRA \
  | 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: b3d3b31d29e7e64553a64f00254991880718c860c49daff4aa0e6aa72e976f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346eb48912a726894b0158230b79acc2536702707fff2fbba785711c5013c790",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-02T21:54:53Z",
    "title_canon_sha256": "5b83dc755d4f53e4bfe702abeda573b0180b99635140d853add25c6dd23d4947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0435",
    "kind": "arxiv",
    "version": 1
  }
}