Pith Number

pith:V2VTBUNA

pith:2014:V2VTBUNARHK2AJPKI4VT3CMKU5

not attested not anchored not stored refs pending

An Algorithm to Compute a Primary Decomposition of Modules in Polynomial Rings over the Integers

Afshan Sadiq, Gerhard Pfister, Nazeran Idrees

arxiv:1408.4343 v1 · 2014-08-19 · 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{V2VTBUNARHK2AJPKI4VT3CMKU5}

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	2026-05-18T02:44:55.651473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeab30d1a089d5a025ea472b3d898aa776690bfd242dc4469d73a9d5d028fa45

Aliases

arxiv: 1408.4343 · arxiv_version: 1408.4343v1 · doi: 10.48550/arxiv.1408.4343 · pith_short_12: V2VTBUNARHK2 · pith_short_16: V2VTBUNARHK2AJPK · pith_short_8: V2VTBUNA

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/V2VTBUNARHK2AJPKI4VT3CMKU5 \
  | 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: aeab30d1a089d5a025ea472b3d898aa776690bfd242dc4469d73a9d5d028fa45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5e8b24c57bc3705049468b5bb683cc85719c8eb505dd32ea7ac05aa9c6bf72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-08-19T13:55:06Z",
    "title_canon_sha256": "4f3a05a97ad99238f4ada94fa4690aec427c065dd85b8c06aa9fbc763ddbd6e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4343",
    "kind": "arxiv",
    "version": 1
  }
}