Pith Number

pith:IDCK372Z

pith:2014:IDCK372Z37PTQXRLIDKXSZPV7N

not attested not anchored not stored refs pending

Canard explosion in delayed equations with multiple timescales

Jonathan D. Touboul, Maciej Krupa

arxiv:1407.7703 v1 · 2014-07-29 · 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{IDCK372Z37PTQXRLIDKXSZPV7N}

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	2026-05-18T02:46:21.997191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c4adff59dfdf385e2b40d57965f5fb5fe5674dbf669ec6124c1a3489d7970b

Aliases

arxiv: 1407.7703 · arxiv_version: 1407.7703v1 · doi: 10.48550/arxiv.1407.7703 · pith_short_12: IDCK372Z37PT · pith_short_16: IDCK372Z37PTQXRL · pith_short_8: IDCK372Z

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/IDCK372Z37PTQXRLIDKXSZPV7N \
  | 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: 40c4adff59dfdf385e2b40d57965f5fb5fe5674dbf669ec6124c1a3489d7970b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12173626618eabe99add333732170972a7747d0e9588cb04bcb8d3788f9c8823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-29T11:48:49Z",
    "title_canon_sha256": "2ef231b0574f74b83ab28bf389250b5e89f9ebd8db660173dbdd1cfc9989eaf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7703",
    "kind": "arxiv",
    "version": 1
  }
}