Pith Number

pith:YJ2JODUV

pith:2026:YJ2JODUV7ZN2NUI5OIYSOHOS7K

not attested not anchored not stored refs pending

Symbiosis as a systemic catalyst and the impossibility of coalitions in optimal networks

Antonio Rizzo, Chiara Mocenni, Giulia Palma

arxiv:2606.07584 v1 · 2026-05-27 · physics.soc-ph · 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{YJ2JODUV7ZN2NUI5OIYSOHOS7K}

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	2026-06-09T00:04:43.765089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c274970e95fe5ba6d11d7231271dd2fabdc0acb06c499834fd28e8f0877832db

Aliases

arxiv: 2606.07584 · arxiv_version: 2606.07584v1 · doi: 10.48550/arxiv.2606.07584 · pith_short_12: YJ2JODUV7ZN2 · pith_short_16: YJ2JODUV7ZN2NUI5 · pith_short_8: YJ2JODUV

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/YJ2JODUV7ZN2NUI5OIYSOHOS7K \
  | 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: c274970e95fe5ba6d11d7231271dd2fabdc0acb06c499834fd28e8f0877832db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b55997b24207ebf121cb96d2a690aaba0db06c1d37ff483a365d5faa779176",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-27T00:14:19Z",
    "title_canon_sha256": "7a17a2a2ff4b0530a0375d650b4d7f63955a274b7dad34b85b991d206c8208af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07584",
    "kind": "arxiv",
    "version": 1
  }
}