Pith Number

pith:3VAYBCTM

pith:2026:3VAYBCTM52JIQ3JOSZY7GRG2NZ

not attested not anchored not stored refs pending

On the independence of the slow and fast scales in multiple-scale expansions, with application to Van der Pol's equation

Gregory Kozyreff, John R. King

arxiv:2606.27038 v1 · 2026-06-25 · math.DS · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VAYBCTM52JIQ3JOSZY7GRG2NZ}

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	2026-06-26T01:16:07.729637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd41808a6cee92886d2e9671f344da6e6680250d5d815f49d917c02a7f7f7f73

Aliases

arxiv: 2606.27038 · arxiv_version: 2606.27038v1 · doi: 10.48550/arxiv.2606.27038 · pith_short_12: 3VAYBCTM52JI · pith_short_16: 3VAYBCTM52JIQ3JO · pith_short_8: 3VAYBCTM

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/3VAYBCTM52JIQ3JOSZY7GRG2NZ \
  | 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: dd41808a6cee92886d2e9671f344da6e6680250d5d815f49d917c02a7f7f7f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95390137e3005e6cca2eedb5fa7f49848c4b3bee6231c325f2369d5f2bd84127",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-25T13:44:45Z",
    "title_canon_sha256": "83b689c1a48edfabf305ed24d6f911f13ee41d620d3f2da7051c5e9d5be82926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27038",
    "kind": "arxiv",
    "version": 1
  }
}