Pith Number

pith:VABN3A64

pith:2019:VABN3A64VLTT6YLWV2UOS6VU7N

not attested not anchored not stored refs pending

Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations

Paul E. O'Keeffe, Sebastian Wieczorek

arxiv:1902.01796 v7 · 2019-02-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VABN3A64VLTT6YLWV2UOS6VU7N}

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.

Cited by

1 paper in Pith

When very slow is too fast -- collapse of a predator-prey system

Receipt and verification

First computed	2026-07-05T01:53:17.339063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a802dd83dcaae73f6176aea8e97ab4fb75b58a26900e19295a8b84dfbf494df3

Aliases

arxiv: 1902.01796 · arxiv_version: 1902.01796v7 · doi: 10.48550/arxiv.1902.01796 · pith_short_12: VABN3A64VLTT · pith_short_16: VABN3A64VLTT6YLW · pith_short_8: VABN3A64

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/VABN3A64VLTT6YLWV2UOS6VU7N \
  | 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: a802dd83dcaae73f6176aea8e97ab4fb75b58a26900e19295a8b84dfbf494df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2997d365bc5c27e219c2cf3a4643fffecd02654003c661393664e0e1b22b86d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-05T17:08:41Z",
    "title_canon_sha256": "e1927e2bd20faf9cf51596d6b6f5a3b6c467ff1b7bb933068d2cc9b3f54fe2da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01796",
    "kind": "arxiv",
    "version": 7
  }
}