Pith Number

pith:4IB7D6PZ

pith:2015:4IB7D6PZ5ANI6HMOUKQQSI2DDN

not attested not anchored not stored refs pending

Macroscopic description of complex adaptive networks co-evolving with dynamic node states

Jobst Heitzig, Jonathan F. Donges, J\"urgen Kurths, Marc Wiedermann, Wolfgang Lucht

arxiv:1503.05914 v2 · 2015-03-19 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IB7D6PZ5ANI6HMOUKQQSI2DDN}

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	2026-05-18T01:17:30.794604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e203f1f9f9e81a8f1d8ea2a10923431b6b8091756d11d661a3cf19e9bef68d93

Aliases

arxiv: 1503.05914 · arxiv_version: 1503.05914v2 · doi: 10.48550/arxiv.1503.05914 · pith_short_12: 4IB7D6PZ5ANI · pith_short_16: 4IB7D6PZ5ANI6HMO · pith_short_8: 4IB7D6PZ

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/4IB7D6PZ5ANI6HMOUKQQSI2DDN \
  | 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: e203f1f9f9e81a8f1d8ea2a10923431b6b8091756d11d661a3cf19e9bef68d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19194d4d4f6e2b422898c0a3d87a9ed8c915adc1c2eb46d7ba26d8a1901383cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-03-19T09:18:54Z",
    "title_canon_sha256": "0a793ad35350187a28e49ba4191df815cdbf84f22455ad542b6c592bc913efd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05914",
    "kind": "arxiv",
    "version": 2
  }
}