Pith Number

pith:L2HNSPMW

pith:2024:L2HNSPMWHOTMBAMWKT2YTRONXI

not attested not anchored not stored refs pending

A Universal Property of the Spectrum of a Ring and the Semiring of its Ideals

William Bernardoni

arxiv:2404.10937 v1 · 2024-04-16 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2HNSPMWHOTMBAMWKT2YTRONXI}

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	2026-07-05T08:09:01.001558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8ed93d963ba6c0819654f589c5cdba07eccb4fff71cec8d2840f09a8515678

Aliases

arxiv: 2404.10937 · arxiv_version: 2404.10937v1 · doi: 10.48550/arxiv.2404.10937 · pith_short_12: L2HNSPMWHOTM · pith_short_16: L2HNSPMWHOTMBAMW · pith_short_8: L2HNSPMW

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/L2HNSPMWHOTMBAMWKT2YTRONXI \
  | 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: 5e8ed93d963ba6c0819654f589c5cdba07eccb4fff71cec8d2840f09a8515678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a4232dcc13982bf56fa9aef70cea0872ea3b664c16f5a93b43b41a5d5c0f21",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-04-16T22:35:02Z",
    "title_canon_sha256": "073578fe9f841c922875ceead74802ffc4e07b7da0962d75838a9f50109f1405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.10937",
    "kind": "arxiv",
    "version": 1
  }
}