Pith Number

pith:VY5XAR42

pith:2019:VY5XAR426JCD6LRHYH6AJGACVB

not attested not anchored not stored refs pending

Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid

Felix Gotti

arxiv:1907.00744 v2 · 2019-06-27 · 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{VY5XAR426JCD6LRHYH6AJGACVB}

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

When is a Puiseux monoid atomic?

Receipt and verification

First computed	2026-07-05T01:13:53.374273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3b70479af2443f2e27c1fc049802a84859b0fe0dce0b7c7b5034988f76e1d4

Aliases

arxiv: 1907.00744 · arxiv_version: 1907.00744v2 · doi: 10.48550/arxiv.1907.00744 · pith_short_12: VY5XAR426JCD · pith_short_16: VY5XAR426JCD6LRH · pith_short_8: VY5XAR42

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/VY5XAR426JCD6LRHYH6AJGACVB \
  | 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: ae3b70479af2443f2e27c1fc049802a84859b0fe0dce0b7c7b5034988f76e1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b1dc60eadf9f72515926928bffb224f5cfcfbb69350c342f6aee159be1825b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-27T21:28:55Z",
    "title_canon_sha256": "3c74759d2a97fd50b85116a73baf81703f4eaf3473b54d0a80c358c07167904c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00744",
    "kind": "arxiv",
    "version": 2
  }
}