Pith Number

pith:J56HUMCE

pith:2019:J56HUMCE6RBLSZN7XVIO5VB3PS

not attested not anchored not stored refs pending

The physics of governance networks: critical transitions in contagion dynamics on multilayer adaptive networks with application to the sustainable use of renewable resources

Fabian Geier, Jonathan F. Donges, J\"urgen Kurths, Marc Wiedermann, Wolfram Barfuss

arxiv:1906.08679 v2 · 2019-06-19 · 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{J56HUMCE6RBLSZN7XVIO5VB3PS}

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	2026-07-05T01:35:24.182962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7c7a3044f442b965bfbd50eed43b7cbe2318969a74d7629def69eb827c7721

Aliases

arxiv: 1906.08679 · arxiv_version: 1906.08679v2 · doi: 10.48550/arxiv.1906.08679 · pith_short_12: J56HUMCE6RBL · pith_short_16: J56HUMCE6RBLSZN7 · pith_short_8: J56HUMCE

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/J56HUMCE6RBLSZN7XVIO5VB3PS \
  | 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: 4f7c7a3044f442b965bfbd50eed43b7cbe2318969a74d7629def69eb827c7721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6406bbec6e51403ef0adb76061657c8e54f563ff0c75d1baa12df67140c73736",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-06-19T15:17:55Z",
    "title_canon_sha256": "cfe94b95e3dd4dc5ff3b6c3041b468c1e98dd3079c0c082f1a9d6f7f89718f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08679",
    "kind": "arxiv",
    "version": 2
  }
}