Pith Number

pith:WZUO737N

pith:2013:WZUO737NAZEYZCMVVZEM6647SC

not attested not anchored not stored refs pending

On pseudo-invereses of matrices and their characteristic polynomials in supertropical algebra

Adi Niv

arxiv:1306.5861 v3 · 2013-06-25 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZUO737NAZEYZCMVVZEM6647SC}

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	2026-05-18T02:30:47.731504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b668efefed06498c8995ae48cf7b9f90b22c8469ba2a3709040391091d2a0fb4

Aliases

arxiv: 1306.5861 · arxiv_version: 1306.5861v3 · doi: 10.48550/arxiv.1306.5861 · pith_short_12: WZUO737NAZEY · pith_short_16: WZUO737NAZEYZCMV · pith_short_8: WZUO737N

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/WZUO737NAZEYZCMVVZEM6647SC \
  | 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: b668efefed06498c8995ae48cf7b9f90b22c8469ba2a3709040391091d2a0fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7abf5365b35265a3800a3bacc8ae561b54fc21c3b1c2a1f7c8aa69e8b465434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-25T07:07:35Z",
    "title_canon_sha256": "02a72d80edfdde4562f9571af1fc323c0b0c648cbe3c5240799da50aa7581065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5861",
    "kind": "arxiv",
    "version": 3
  }
}