Pith Number

pith:7VKL4PM3

pith:2015:7VKL4PM3MF2WOY5LJNEAM5DKEM

not attested not anchored not stored refs pending

From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation

A. Granados, J. Burke, M. Desroches, M. Krupa, T. J. Kaper, T. Vo

arxiv:1504.03970 v1 · 2015-04-15 · 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{7VKL4PM3MF2WOY5LJNEAM5DKEM}

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	2026-05-18T01:22:40.547617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd54be3d9b61756763ab4b4806746a233bab959c6b22bd3d5e2e8334453bd76d

Aliases

arxiv: 1504.03970 · arxiv_version: 1504.03970v1 · doi: 10.48550/arxiv.1504.03970 · pith_short_12: 7VKL4PM3MF2W · pith_short_16: 7VKL4PM3MF2WOY5L · pith_short_8: 7VKL4PM3

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/7VKL4PM3MF2WOY5LJNEAM5DKEM \
  | 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: fd54be3d9b61756763ab4b4806746a233bab959c6b22bd3d5e2e8334453bd76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a4bc2a3766aa3642ec001f80486fb9788d1c3c35dbf5fbf98a3f0f0f95878f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-15T16:59:03Z",
    "title_canon_sha256": "d5441169532d4acbe08a52f1e0fbd9e39aefa0da8e76fe873cd28ffdecdf93a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03970",
    "kind": "arxiv",
    "version": 1
  }
}