Pith Number

pith:R2SY5RYG

pith:2024:R2SY5RYG7KOKQOP4ZTRNDHMCG3

not attested not anchored not stored refs pending

On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set

Alfred Geroldinger, Felix Gotti

arxiv:2404.11494 v1 · 2024-04-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2SY5RYG7KOKQOP4ZTRNDHMCG3}

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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

The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties

Receipt and verification

First computed	2026-07-05T08:09:09.522848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea58ec706fa9ca839fccce2d19d8236f00730b07f7fa2d9c3c2fbb5cc4441cb

Aliases

arxiv: 2404.11494 · arxiv_version: 2404.11494v1 · doi: 10.48550/arxiv.2404.11494 · pith_short_12: R2SY5RYG7KOK · pith_short_16: R2SY5RYG7KOKQOP4 · pith_short_8: R2SY5RYG

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/R2SY5RYG7KOKQOP4ZTRNDHMCG3 \
  | 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: 8ea58ec706fa9ca839fccce2d19d8236f00730b07f7fa2d9c3c2fbb5cc4441cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0032c50201f7d24ffff39c70742ea1d25f9f835834612c946da3dc7bb235863",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-04-17T15:49:18Z",
    "title_canon_sha256": "92c47ab9799d8f2ddfacb870ec88a6701f3733b1319c4c7b6d9278a59b1c8aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11494",
    "kind": "arxiv",
    "version": 1
  }
}