Pith Number

pith:ADZ7VHDD

pith:2011:ADZ7VHDDQVKQUIVADSJ5LNVZUL

not attested not anchored not stored refs pending

Remarks on subcategories of artinian modules

Naoya Hiramatsu

arxiv:1110.2277 v1 · 2011-10-11 · 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{ADZ7VHDDQVKQUIVADSJ5LNVZUL}

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	2026-05-18T04:11:17.149993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f3fa9c6385550a22a01c93d5b6b9a2f6cb23c39ede4ec8c7abb0cf07ea6b6c

Aliases

arxiv: 1110.2277 · arxiv_version: 1110.2277v1 · doi: 10.48550/arxiv.1110.2277 · pith_short_12: ADZ7VHDDQVKQ · pith_short_16: ADZ7VHDDQVKQUIVA · pith_short_8: ADZ7VHDD

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/ADZ7VHDDQVKQUIVADSJ5LNVZUL \
  | 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: 00f3fa9c6385550a22a01c93d5b6b9a2f6cb23c39ede4ec8c7abb0cf07ea6b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179b58e7350d4a279ba163dda7dc8c3fa7e9918e7bbd219db69377f24351703b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-11T05:52:24Z",
    "title_canon_sha256": "cf5ea752dbe5b2446ec083935805cdf704b0800a009c0e64ccf1d11874a5f273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2277",
    "kind": "arxiv",
    "version": 1
  }
}