Pith Number

pith:V2VBGHXR

pith:2024:V2VBGHXRESQETLSFQTV7HDO4UJ

not attested not anchored not stored refs pending

Improved Upper Bounds on Key Invariants of Erd\H{o}s-R\'enyi Numerical Semigroups

Santiago Morales, Tristram Bogart

arxiv:2411.13767 v3 · 2024-11-21 · math.AC · 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{V2VBGHXRESQETLSFQTV7HDO4UJ}

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

Gap sets of random generalized numerical semigroups

Receipt and verification

First computed	2026-07-05T11:40:50.878483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeaa131ef124a049ae4584ebf38ddca26e368cc3f5e0dbee03f30808183b0427

Aliases

arxiv: 2411.13767 · arxiv_version: 2411.13767v3 · doi: 10.48550/arxiv.2411.13767 · pith_short_12: V2VBGHXRESQE · pith_short_16: V2VBGHXRESQETLSF · pith_short_8: V2VBGHXR

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/V2VBGHXRESQETLSFQTV7HDO4UJ \
  | 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: aeaa131ef124a049ae4584ebf38ddca26e368cc3f5e0dbee03f30808183b0427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00d0f1adb3bb0692cb46d94e7e35330141ac198e5da20d900ff454f7350bcc8f",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-21T00:33:05Z",
    "title_canon_sha256": "882ba0fbca03f66e665be9fdc229019ab5aa8997cafb11f65524fb11d03a92ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13767",
    "kind": "arxiv",
    "version": 3
  }
}