Pith Number

pith:Q76QUM5S

pith:2012:Q76QUM5SAUSXHCXUN2YFAQGNUQ

not attested not anchored not stored refs pending

On modular decompositions of system signatures

Fabio Spizzichino, Jean-Luc Marichal, Pierre Mathonet

arxiv:1208.5658 v2 · 2012-08-28 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q76QUM5SAUSXHCXUN2YFAQGNUQ}

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	2026-05-18T02:33:07.913805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fd0a33b20525738af46eb05040cda4221481d8d79e17e48ac2cc03ed32182f

Aliases

arxiv: 1208.5658 · arxiv_version: 1208.5658v2 · doi: 10.48550/arxiv.1208.5658 · pith_short_12: Q76QUM5SAUSX · pith_short_16: Q76QUM5SAUSXHCXU · pith_short_8: Q76QUM5S

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/Q76QUM5SAUSXHCXUN2YFAQGNUQ \
  | 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: 87fd0a33b20525738af46eb05040cda4221481d8d79e17e48ac2cc03ed32182f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8132e288b644c285e0974edb6a913bcaab5a93e0265f5fbaf7e4e38949cc78",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-28T13:29:56Z",
    "title_canon_sha256": "c41fc94b662c8adf7cd6c5d2de8c59f370322383d9818ced6200318e9208b430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5658",
    "kind": "arxiv",
    "version": 2
  }
}