Pith Number

pith:5NK6W3LM

pith:2010:5NK6W3LMOC4TVGAZZX7CSBPSDI

not attested not anchored not stored refs pending

Perturbation of matrices and non-negative rank with a view toward statistical models

Cristiano Bocci, Enrico Carlini, Fabio Rapallo

arxiv:1010.3566 v3 · 2010-10-18 · math.CO · math.AC · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NK6W3LMOC4TVGAZZX7CSBPSDI}

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	2026-05-18T04:17:15.182031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb55eb6d6c70b93a9819cdfe2905f21a35ea66c202c8afe09ad5200a8fb8fd61

Aliases

arxiv: 1010.3566 · arxiv_version: 1010.3566v3 · doi: 10.48550/arxiv.1010.3566 · pith_short_12: 5NK6W3LMOC4T · pith_short_16: 5NK6W3LMOC4TVGAZ · pith_short_8: 5NK6W3LM

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/5NK6W3LMOC4TVGAZZX7CSBPSDI \
  | 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: eb55eb6d6c70b93a9819cdfe2905f21a35ea66c202c8afe09ad5200a8fb8fd61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa046c4cb734d9045f92c42b34017ecefaf9e57d625782c566af66b069637be9",
    "cross_cats_sorted": [
      "math.AC",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-18T11:51:54Z",
    "title_canon_sha256": "bf8536728988a4add9ee23a574535784fcb73e2a0e00212b3001b2b308b68b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3566",
    "kind": "arxiv",
    "version": 3
  }
}