Pith Number

pith:ZF6XTWSV

pith:2019:ZF6XTWSVPDE2GYNLUVK5RLVZS2

not attested not anchored not stored refs pending

2-irreducible and strongly 2-irreducible submodules of a module

Faranak Farshadifar, Habibollah Ansari-Toroghy

arxiv:1905.10275 v1 · 2019-05-24 · 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{ZF6XTWSVPDE2GYNLUVK5RLVZS2}

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	2026-05-17T23:45:10.731026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97d79da5578c9a361aba555d8aeb996b00fa91e6ac9be793371101cb3466fdc

Aliases

arxiv: 1905.10275 · arxiv_version: 1905.10275v1 · doi: 10.48550/arxiv.1905.10275 · pith_short_12: ZF6XTWSVPDE2 · pith_short_16: ZF6XTWSVPDE2GYNL · pith_short_8: ZF6XTWSV

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/ZF6XTWSVPDE2GYNLUVK5RLVZS2 \
  | 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: c97d79da5578c9a361aba555d8aeb996b00fa91e6ac9be793371101cb3466fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61208f254b14ac54d45d48e635922125611a40bd493bbe35146ef620087ca685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-24T15:07:07Z",
    "title_canon_sha256": "8f18061598fe4830c81faf24e885422efdaefd1c9e11b1afd3c506096683d348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10275",
    "kind": "arxiv",
    "version": 1
  }
}