Pith Number

pith:APLODSVU

pith:2008:APLODSVUC63PRCZDHUPXBYTVRU

not attested not anchored not stored refs pending

On visualisation scaling, subeigenvectors and Kleene stars in max algebra

Hans Schneider, Peter Butkovic, Sergei Sergeev

arxiv:0808.1992 v3 · 2008-08-14 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APLODSVUC63PRCZDHUPXBYTVRU}

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	2026-05-18T03:02:18.524231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d6e1cab417b6f88b233d1f70e2758d106dfa32d2b2ec5f63cf5c9e3aebc252

Aliases

arxiv: 0808.1992 · arxiv_version: 0808.1992v3 · doi: 10.48550/arxiv.0808.1992 · pith_short_12: APLODSVUC63P · pith_short_16: APLODSVUC63PRCZD · pith_short_8: APLODSVU

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/APLODSVUC63PRCZDHUPXBYTVRU \
  | 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: 03d6e1cab417b6f88b233d1f70e2758d106dfa32d2b2ec5f63cf5c9e3aebc252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f0611b557af1e97d0663c6ebb57931f858fa528d1ac7075e85b03439aeb422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-08-14T14:02:48Z",
    "title_canon_sha256": "2aa49c0a44dc81df77f64ae79bd636496f4dbf88f1156de4b8cd54c226d8bda8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1992",
    "kind": "arxiv",
    "version": 3
  }
}