Pith Number

pith:NY3TFIZP

pith:2014:NY3TFIZPQB3VPNKC2B6HECKWDR

not attested not anchored not stored refs pending

A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems

Alfred Geroldinger, Daniel Smertnig, David J. Grynkiewicz, Nicholas R. Baeth

arxiv:1404.7264 v4 · 2014-04-29 · math.AC · math.CO · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NY3TFIZPQB3VPNKC2B6HECKWDR}

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	2026-05-18T01:36:20.823075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e3732a32f807757b542d07c7209561c7201d6bfb12093c16a28b96bb823ba6a

Aliases

arxiv: 1404.7264 · arxiv_version: 1404.7264v4 · doi: 10.48550/arxiv.1404.7264 · pith_short_12: NY3TFIZPQB3V · pith_short_16: NY3TFIZPQB3VPNKC · pith_short_8: NY3TFIZP

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/NY3TFIZPQB3VPNKC2B6HECKWDR \
  | 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: 6e3732a32f807757b542d07c7209561c7201d6bfb12093c16a28b96bb823ba6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715150023454e495e6e39adbed6bc0627f9070cdfa11148d3b4a3736c87acde9",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-29T07:44:04Z",
    "title_canon_sha256": "440d1a0ab7dbe42df7f8be53c93429ccdc5a6a84bfa73d2edd678726f2de2c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7264",
    "kind": "arxiv",
    "version": 4
  }
}