Pith Number

pith:7TZZD33K

pith:2021:7TZZD33KV5U5N5JEEUOMINE4UK

not attested not anchored not stored refs pending

Complex networks of interacting stochastic tipping elements: cooperativity of phase separation in the large-system limit

Jan Kohler, Jonathan F. Donges, J\"urgen Vollmer, Nico Wunderling

arxiv:2104.09299 v2 · 2021-04-13 · physics.soc-ph · nlin.CD · physics.ao-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{7TZZD33KV5U5N5JEEUOMINE4UK}

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	2026-07-05T07:04:08.648050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf391ef6aaf69d6f524251cc4349ca2b3e23e0ff5255d3150e7652ad48650da

Aliases

arxiv: 2104.09299 · arxiv_version: 2104.09299v2 · doi: 10.48550/arxiv.2104.09299 · pith_short_12: 7TZZD33KV5U5 · pith_short_16: 7TZZD33KV5U5N5JE · pith_short_8: 7TZZD33K

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/7TZZD33KV5U5N5JEEUOMINE4UK \
  | 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: fcf391ef6aaf69d6f524251cc4349ca2b3e23e0ff5255d3150e7652ad48650da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c648f51d748dd4b79faa76e53a7aedef6dff47745d272c4115246cc7e4180b",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.ao-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-04-13T09:55:41Z",
    "title_canon_sha256": "ef54ef0a4c637892b3a4c9b0d0661d0cd6f02bd661c7d29f84d64b3af11910fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.09299",
    "kind": "arxiv",
    "version": 2
  }
}