Pith Number

pith:ZYZJSMHA

pith:2013:ZYZJSMHAY4DK5VWLUJFNTI5IJR

not attested not anchored not stored refs pending

On the Solution of the Van der Pol Equation

Mayer Humi

arxiv:1308.5965 v1 · 2013-08-27 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYZJSMHAY4DK5VWLUJFNTI5IJR}

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	2026-05-18T03:14:50.632497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce329930e0c706aed6cba24ad9a3a84c6fc71838538ddf2f0e2c3f9a66afd25e

Aliases

arxiv: 1308.5965 · arxiv_version: 1308.5965v1 · doi: 10.48550/arxiv.1308.5965 · pith_short_12: ZYZJSMHAY4DK · pith_short_16: ZYZJSMHAY4DK5VWL · pith_short_8: ZYZJSMHA

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/ZYZJSMHAY4DK5VWLUJFNTI5IJR \
  | 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: ce329930e0c706aed6cba24ad9a3a84c6fc71838538ddf2f0e2c3f9a66afd25e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a64aa09ae16f5da0464a7bafc5dfb5dc016eab8c125fae1ea565c28ef06c8e",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-27T19:59:02Z",
    "title_canon_sha256": "99ddca5d757271ce335c296df8bb768c4f59bdaf1b1cd73f192a5ec459772eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5965",
    "kind": "arxiv",
    "version": 1
  }
}