Pith Number

pith:IZ4MM7U4

pith:2014:IZ4MM7U4IU2QRNPOBXO3HRETM7

not attested not anchored not stored refs pending

On the index of reducibility in Noetherian modules

Hoang Le Truong, Nguyen Tu Cuong, Pham Hung Quy

arxiv:1405.1136 v2 · 2014-05-06 · 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{IZ4MM7U4IU2QRNPOBXO3HRETM7}

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	2026-05-18T02:19:08.496768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4678c67e9c453508b5ee0dddb3c49367d352a96b72bd224ff1cedb6194090d73

Aliases

arxiv: 1405.1136 · arxiv_version: 1405.1136v2 · doi: 10.48550/arxiv.1405.1136 · pith_short_12: IZ4MM7U4IU2Q · pith_short_16: IZ4MM7U4IU2QRNPO · pith_short_8: IZ4MM7U4

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/IZ4MM7U4IU2QRNPOBXO3HRETM7 \
  | 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: 4678c67e9c453508b5ee0dddb3c49367d352a96b72bd224ff1cedb6194090d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ab139f1575ef5a98fc2aec4824b460dcfb3ce8e23f22486278c9e8ec895c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-05-06T03:09:32Z",
    "title_canon_sha256": "90639af02cd637e31af9902650b882fc9d22d485cf3004ac1d8fb77c7c2af1fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1136",
    "kind": "arxiv",
    "version": 2
  }
}