Pith Number

pith:4MNWPVVH

pith:2012:4MNWPVVH4KNOSGBZG6EHW3XX2V

not attested not anchored not stored refs pending

Jacobians of singular matrix transformations: Extensions

Jose A. Diaz-Garcia, Ram\'on Gutierrez-Sanchez

arxiv:1207.1993 v1 · 2012-07-09 · 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{4MNWPVVH4KNOSGBZG6EHW3XX2V}

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	2026-05-18T03:51:26.371986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31b67d6a7e29ae9183937887b6ef7d542d9720a6f67589237382a9f2ba9beb1

Aliases

arxiv: 1207.1993 · arxiv_version: 1207.1993v1 · doi: 10.48550/arxiv.1207.1993 · pith_short_12: 4MNWPVVH4KNO · pith_short_16: 4MNWPVVH4KNOSGBZ · pith_short_8: 4MNWPVVH

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/4MNWPVVH4KNOSGBZG6EHW3XX2V \
  | 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: e31b67d6a7e29ae9183937887b6ef7d542d9720a6f67589237382a9f2ba9beb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5db3782742b98e49d0416e270864e25e750f433e18c7bac412357f1439dea6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-09T09:10:34Z",
    "title_canon_sha256": "08bc154c6bf40ab5e42e5807b9b703b623fca2623c0539417376a9658c55f1cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1993",
    "kind": "arxiv",
    "version": 1
  }
}