Pith Number

pith:ZIO4M6NJ

pith:2017:ZIO4M6NJS3ZDYDNOV6N6QUCYA2

not attested not anchored not stored refs pending

Self-organization and the Maximum Empower Principle in the Framework of max-plus Algebra

Chams Lahlou, Laurent Truffet

arxiv:1712.05798 v2 · 2017-12-16 · cs.FL · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIO4M6NJS3ZDYDNOV6N6QUCYA2}

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	2026-05-17T23:42:30.984343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1dc679a996f23c0daeaf9be8505806bfcb6cede5ce5c4f24ecbcb990c79f53

Aliases

arxiv: 1712.05798 · arxiv_version: 1712.05798v2 · doi: 10.48550/arxiv.1712.05798 · pith_short_12: ZIO4M6NJS3ZD · pith_short_16: ZIO4M6NJS3ZDYDNO · pith_short_8: ZIO4M6NJ

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/ZIO4M6NJS3ZDYDNOV6N6QUCYA2 \
  | 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: ca1dc679a996f23c0daeaf9be8505806bfcb6cede5ce5c4f24ecbcb990c79f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e714cd93f4ec0444a578806c23f3f18907a64af60a8dcebfff6c91c6422bb61",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2017-12-16T06:22:28Z",
    "title_canon_sha256": "4f7f5657b85dc8657d5fc66cd795e08af96fd552a0cd4133170c320a9d7d3e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05798",
    "kind": "arxiv",
    "version": 2
  }
}