Pith Number

pith:22ITYXRQ

pith:2013:22ITYXRQVHQYNHSCALIDLWGA4D

not attested not anchored not stored refs pending

Interaction of two systems with saddle-node bifurcations on invariant circles. I. Foundations and the mutualistic case

Claude Baesens, Robert S. MacKay

arxiv:1309.6954 v1 · 2013-09-26 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22ITYXRQVHQYNHSCALIDLWGA4D}

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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

Learning Dynamic Stability Landscapes in Synchronization Networks

Receipt and verification

First computed	2026-05-18T01:47:26.125854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6913c5e30a9e1869e4202d035d8c0e0c346a35bf1ef2b6f34dd0b55ab37d68f

Aliases

arxiv: 1309.6954 · arxiv_version: 1309.6954v1 · doi: 10.48550/arxiv.1309.6954 · pith_short_12: 22ITYXRQVHQY · pith_short_16: 22ITYXRQVHQYNHSC · pith_short_8: 22ITYXRQ

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/22ITYXRQVHQYNHSCALIDLWGA4D \
  | 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: d6913c5e30a9e1869e4202d035d8c0e0c346a35bf1ef2b6f34dd0b55ab37d68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8305d78a6beeebae69678b41f4d698cddbe218ab118d62f034e1773fd40489d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-26T16:14:52Z",
    "title_canon_sha256": "edfa878e4579516431c3cfec029dae6f0c4ce60550fd7210297c4209c277937e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6954",
    "kind": "arxiv",
    "version": 1
  }
}