Pith Number

pith:MB3FHYQF

pith:2014:MB3FHYQFIRWMYS3LSM235XHSRI

not attested not anchored not stored refs pending

Monoids of modules and arithmetic of direct-sum decompositions

Alfred Geroldinger, Nicholas R. Baeth

arxiv:1401.6553 v1 · 2014-01-25 · 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{MB3FHYQFIRWMYS3LSM235XHSRI}

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	2026-05-18T03:01:01.375683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607653e205446ccc4b6b9335bedcf28a10881f9dd58483ac7a7987a2e39517eb

Aliases

arxiv: 1401.6553 · arxiv_version: 1401.6553v1 · doi: 10.48550/arxiv.1401.6553 · pith_short_12: MB3FHYQFIRWM · pith_short_16: MB3FHYQFIRWMYS3L · pith_short_8: MB3FHYQF

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/MB3FHYQFIRWMYS3LSM235XHSRI \
  | 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: 607653e205446ccc4b6b9335bedcf28a10881f9dd58483ac7a7987a2e39517eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64f493d132c93ff7b2584302d2cb25bcfe4e68c496a70fad79af10d5363b0c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-25T16:04:35Z",
    "title_canon_sha256": "8d557396dc50a39c01e0299ad572cef476b19ded05cf0e29be271d60ea0820e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6553",
    "kind": "arxiv",
    "version": 1
  }
}