Pith Number

pith:6GVQHIJN

pith:2011:6GVQHIJN2J4DGY2CIELUPCPB5L

not attested not anchored not stored refs pending

On the radical of endomorphism rings of local modules

Wolmer V Vasconcelos

arxiv:1109.0203 v3 · 2011-09-01 · 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{6GVQHIJN2J4DGY2CIELUPCPB5L}

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	2026-05-18T03:04:50.205055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ab03a12dd27833634241174789e1eaf444518149e60814f7ec7b8fdacec58c

Aliases

arxiv: 1109.0203 · arxiv_version: 1109.0203v3 · doi: 10.48550/arxiv.1109.0203 · pith_short_12: 6GVQHIJN2J4D · pith_short_16: 6GVQHIJN2J4DGY2C · pith_short_8: 6GVQHIJN

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/6GVQHIJN2J4DGY2CIELUPCPB5L \
  | 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: f1ab03a12dd27833634241174789e1eaf444518149e60814f7ec7b8fdacec58c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb630694bf56ce7a62ca6f733ee7ac71a190df90d9f8084296d8063dc9a8a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-01T14:59:05Z",
    "title_canon_sha256": "6b96f282c94016f6a103ef824c6f8726cdd8886db9c2eea02cde3e726d2b839a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0203",
    "kind": "arxiv",
    "version": 3
  }
}