Pith Number

pith:V2CSWIJ6

pith:2008:V2CSWIJ6HEY35YCAWMEXMXMSSZ

not attested not anchored not stored refs pending

Determinant Expansions of Signed Matrices and of Certain Jacobians

Igor Klep, J. William Helton, Raul Gomez

arxiv:0802.4319 v1 · 2008-02-29 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2CSWIJ6HEY35YCAWMEXMXMSSZ}

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	2026-05-18T04:24:06.495807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae852b213e3931bee040b309765d92965d3316cdd249969358446f6890de2ff1

Aliases

arxiv: 0802.4319 · arxiv_version: 0802.4319v1 · doi: 10.48550/arxiv.0802.4319 · pith_short_12: V2CSWIJ6HEY3 · pith_short_16: V2CSWIJ6HEY35YCA · pith_short_8: V2CSWIJ6

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/V2CSWIJ6HEY35YCAWMEXMXMSSZ \
  | 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: ae852b213e3931bee040b309765d92965d3316cdd249969358446f6890de2ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3827733ab3245357cb38ceaa281cd17fff296dbbd643471611017ddb4b3b75",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-02-29T02:38:42Z",
    "title_canon_sha256": "bb9bcada31284961a2eee8b5723148b19fc169cadb7db32edd0b1a29651e4b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4319",
    "kind": "arxiv",
    "version": 1
  }
}