Pith Number

pith:Y3DKSTCS

pith:2019:Y3DKSTCSGW7IZG5WVJNWZU3KFP

not attested not anchored not stored refs pending

How motifs condition critical thresholds for tipping cascades in complex networks: Linking Micro- to Macro-scales

Arie Staal, Benedikt Stumpf, Jonathan F. Donges, Jonathan Kr\"onke, Nico Wunderling, Obbe A. Tuinenburg, Ricarda Winkelmann

arxiv:2001.02169 v2 · 2019-12-18 · 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{Y3DKSTCSGW7IZG5WVJNWZU3KFP}

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	2026-07-05T01:50:16.886508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c6a94c5235be8c9bb6aa5b6cd36a2bd3739cc0ff6490fb897185b4c478dbfd

Aliases

arxiv: 2001.02169 · arxiv_version: 2001.02169v2 · doi: 10.48550/arxiv.2001.02169 · pith_short_12: Y3DKSTCSGW7I · pith_short_16: Y3DKSTCSGW7IZG5W · pith_short_8: Y3DKSTCS

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/Y3DKSTCSGW7IZG5WVJNWZU3KFP \
  | 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: c6c6a94c5235be8c9bb6aa5b6cd36a2bd3739cc0ff6490fb897185b4c478dbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41faa166c18c0f79e44959a16caffadaf541eb12ec6d28755a33e42c816812e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2019-12-18T14:33:40Z",
    "title_canon_sha256": "5db116d5bfee1d1128c8929ccc5b08211ee0b6803ce55bf6e62b51ac01353058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02169",
    "kind": "arxiv",
    "version": 2
  }
}