Pith Number

pith:D2GTP5WB

pith:2010:D2GTP5WBWAWQXLJY3KGBB7YJA5

not attested not anchored not stored refs pending

A description of n-ary semigroups polynomial-derived from integral domains

Jean-Luc Marichal, Pierre Mathonet

arxiv:1011.6291 v2 · 2010-11-29 · 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{D2GTP5WBWAWQXLJY3KGBB7YJA5}

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	2026-05-18T04:12:19.298642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8d37f6c1b02d0bad38da8c10ff090741f556e526c667f84b38d1eeab095667

Aliases

arxiv: 1011.6291 · arxiv_version: 1011.6291v2 · doi: 10.48550/arxiv.1011.6291 · pith_short_12: D2GTP5WBWAWQ · pith_short_16: D2GTP5WBWAWQXLJY · pith_short_8: D2GTP5WB

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/D2GTP5WBWAWQXLJY3KGBB7YJA5 \
  | 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: 1e8d37f6c1b02d0bad38da8c10ff090741f556e526c667f84b38d1eeab095667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42ffe570a65cae779d0d4b88131dc8749b4b04c734962480fd53b91270067ee",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-29T17:06:01Z",
    "title_canon_sha256": "91051a2ac6e7186c40de1067966660e2fcae01cea636bf27e43cc22760456356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6291",
    "kind": "arxiv",
    "version": 2
  }
}