Pith Number

pith:3XY53PQI

pith:2011:3XY53PQIQSZTBZ6RFHJJIBX6W7

not attested not anchored not stored refs pending

Z-matrix equations in max algebra, nonnegative linear algebra and other semirings

Hans Schneider, Peter Butkovic, Sergei Sergeev

arxiv:1110.4564 v2 · 2011-10-20 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XY53PQIQSZTBZ6RFHJJIBX6W7}

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	2026-05-18T03:02:18.122024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf1ddbe0884b330e7d129d29406feb7f0cb09d625904a72410c8a203710f112

Aliases

arxiv: 1110.4564 · arxiv_version: 1110.4564v2 · doi: 10.48550/arxiv.1110.4564 · pith_short_12: 3XY53PQIQSZT · pith_short_16: 3XY53PQIQSZTBZ6R · pith_short_8: 3XY53PQI

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/3XY53PQIQSZTBZ6RFHJJIBX6W7 \
  | 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: ddf1ddbe0884b330e7d129d29406feb7f0cb09d625904a72410c8a203710f112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33be19957677601cbeb22eaa3f18b914f20c0dd6462a83ca199183b0c20d8ed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-20T16:10:22Z",
    "title_canon_sha256": "3a80436e3ed07d15f0053457fa97bbad91655fb11a8084cc7d4a39b07425dfb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4564",
    "kind": "arxiv",
    "version": 2
  }
}