Pith Number

pith:MM4EOV6P

pith:2004:MM4EOV6PGLFTR7GFXVOT5RI3X6

not attested not anchored not stored refs pending

An unexpected application of minimization theory to module decompositions

Eric Laugerotte, Gerard Duchamp, Hatem Hadj Kacem

arxiv:cs/0405060 v1 · 2004-05-17 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MM4EOV6PGLFTR7GFXVOT5RI3X6}

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	2026-05-18T01:06:49.272763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23

Aliases

arxiv: cs/0405060 · arxiv_version: cs/0405060v1 · doi: 10.48550/arxiv.cs/0405060 · pith_short_12: MM4EOV6PGLFT · pith_short_16: MM4EOV6PGLFTR7GF · pith_short_8: MM4EOV6P

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/MM4EOV6PGLFTR7GFXVOT5RI3X6 \
  | 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: 63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475022280d05d5fac9f5c7a0cb6ea0ad5436d6546657e11a8de38d364c635e4f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.SC",
    "submitted_at": "2004-05-17T18:44:59Z",
    "title_canon_sha256": "efb903864a11cdd863642abbb902543408058212aa4ef5fdaccdd03796243d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0405060",
    "kind": "arxiv",
    "version": 1
  }
}