Pith Number

pith:S2FCXWWW

pith:2013:S2FCXWWWHJPW7ZNJ4GRZYQJSTM

not attested not anchored not stored refs pending

Gorenstein injective envelopes of Artinian modules

Kamran Divaani-Aazar, Massoumeh Nikkhah Babaei

arxiv:1306.4452 v1 · 2013-06-19 · 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{S2FCXWWWHJPW7ZNJ4GRZYQJSTM}

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	2026-05-18T03:20:34.426628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968a2bdad63a5f6fe5a9e1a39c41329b3019871bcfb15d5a07ff3389fea90524

Aliases

arxiv: 1306.4452 · arxiv_version: 1306.4452v1 · doi: 10.48550/arxiv.1306.4452 · pith_short_12: S2FCXWWWHJPW · pith_short_16: S2FCXWWWHJPW7ZNJ · pith_short_8: S2FCXWWW

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/S2FCXWWWHJPW7ZNJ4GRZYQJSTM \
  | 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: 968a2bdad63a5f6fe5a9e1a39c41329b3019871bcfb15d5a07ff3389fea90524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add4fc29d57d621077e8fac612e896350a045df5cddfda8b854964e43fa977db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-19T08:37:33Z",
    "title_canon_sha256": "7758b8c70c5fc62de08a9398e3e80de020d08cf47be73315ba196cc9fd338f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4452",
    "kind": "arxiv",
    "version": 1
  }
}