Pith Number

pith:2FRRJEGT

pith:2024:2FRRJEGTFWM4X4XRF4BNPR6UEO

not attested not anchored not stored refs pending

Rank conditions and amenability for rings associated to graphs

Johan \"Oinert, Karl Lorensen

arxiv:2404.07093 v3 · 2024-04-10 · math.RA · math.OA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FRRJEGTFWM4X4XRF4BNPR6UEO}

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	2026-06-01T01:03:38.470357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1631490d32d99cbf2f12f02d7c7d4239ba2bfd9f59b783454930770aca57829

Aliases

arxiv: 2404.07093 · arxiv_version: 2404.07093v3 · doi: 10.48550/arxiv.2404.07093 · pith_short_12: 2FRRJEGTFWM4 · pith_short_16: 2FRRJEGTFWM4X4XR · pith_short_8: 2FRRJEGT

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/2FRRJEGTFWM4X4XRF4BNPR6UEO \
  | 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: d1631490d32d99cbf2f12f02d7c7d4239ba2bfd9f59b783454930770aca57829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4551f0e651282485b6f368454bba3af6b70a6a99bc883c23460c7cd135a62ae",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-04-10T15:32:46Z",
    "title_canon_sha256": "f93a904220b9654d2da2ef94f1bc3541a60bd10fddd53452a4a5861f2c29314d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07093",
    "kind": "arxiv",
    "version": 3
  }
}