Pith Number

pith:LN35RE2F

pith:2011:LN35RE2FF25AZSSO252WZS7A4T

not attested not anchored not stored refs pending

Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system

Peter Ashwin, Peter Cox, Renato Vitolo, Sebastian Wieczorek

arxiv:1103.0169 v5 · 2011-03-01 · math.DS · nlin.AO · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LN35RE2FF25AZSSO252WZS7A4T}

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	2026-05-18T03:33:50.319677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b77d893452eba0cca4ed7756ccbe0e4e9dc32b7463efc072afb758af258984f

Aliases

arxiv: 1103.0169 · arxiv_version: 1103.0169v5 · doi: 10.48550/arxiv.1103.0169 · pith_short_12: LN35RE2FF25A · pith_short_16: LN35RE2FF25AZSSO · pith_short_8: LN35RE2F

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/LN35RE2FF25AZSSO252WZS7A4T \
  | 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: 5b77d893452eba0cca4ed7756ccbe0e4e9dc32b7463efc072afb758af258984f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19aa3731e08ac52571057704095522bacc94df751204a60cebff769994cfa85",
    "cross_cats_sorted": [
      "nlin.AO",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-01T13:58:52Z",
    "title_canon_sha256": "102c1a6b72350c96ca6e1b8bd9cc0c0371c29cdfb94ba860bb30eccf8c9b2746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0169",
    "kind": "arxiv",
    "version": 5
  }
}