Pith Number

pith:6GQ2SLU5

pith:2018:6GQ2SLU5EMKBHWZQRDSLDW35XK

not attested not anchored not stored refs pending

Sparsity in Max-Plus Algebra and Systems

Anastasios Tsiamis, Petros Maragos

arxiv:1801.09850 v3 · 2018-01-30 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GQ2SLU5EMKBHWZQRDSLDW35XK}

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	2026-05-17T23:44:22.752581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a1a92e9d231413db3088e4b1db7dba87b5c53844a77fd1b6e564b30cbdc2df

Aliases

arxiv: 1801.09850 · arxiv_version: 1801.09850v3 · doi: 10.48550/arxiv.1801.09850 · pith_short_12: 6GQ2SLU5EMKB · pith_short_16: 6GQ2SLU5EMKBHWZQ · pith_short_8: 6GQ2SLU5

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/6GQ2SLU5EMKBHWZQRDSLDW35XK \
  | 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: f1a1a92e9d231413db3088e4b1db7dba87b5c53844a77fd1b6e564b30cbdc2df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154c05e718134d6b4ae8144c0261c6147a7379965b1378b265bb5e17540232c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-30T04:42:21Z",
    "title_canon_sha256": "df9c43310c5dd988cea7279a8ae89a796d99f1dcb9a974edff9b54fafc6a89b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09850",
    "kind": "arxiv",
    "version": 3
  }
}