Pith Number

pith:M4OJVJBP

pith:2026:M4OJVJBP5S4C4OY653DWBNEH53

not attested not anchored not stored refs pending

Power monoids and their arithmetic: a survey

Salvatore Tringali

arxiv:2602.15754 v3 · 2026-02-17 · math.RA · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4OJVJBP5S4C4OY653DWBNEH53}

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 the automorphisms of the power semigroups of a numerical semigroup

Receipt and verification

First computed	2026-05-20T00:00:34.652270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671c9aa42fecb82e3b1eeec760b487eec78f8281465a9037ab6226f7d115f528

Aliases

arxiv: 2602.15754 · arxiv_version: 2602.15754v3 · doi: 10.48550/arxiv.2602.15754 · pith_short_12: M4OJVJBP5S4C · pith_short_16: M4OJVJBP5S4C4OY6 · pith_short_8: M4OJVJBP

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/M4OJVJBP5S4C4OY653DWBNEH53 \
  | 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: 671c9aa42fecb82e3b1eeec760b487eec78f8281465a9037ab6226f7d115f528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28cf6858fa99b9b3f5c37445a684a748fc924405025b3489bf5b2d749991f4ec",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-02-17T17:38:38Z",
    "title_canon_sha256": "0721717dde6464e72efc9bf8478d52eb86ba94215d992a6ff02c2f9767eb9b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.15754",
    "kind": "arxiv",
    "version": 3
  }
}