Pith Number

pith:ZK2TNDFB

pith:2019:ZK2TNDFBLCMSJ6AZVFRGYJYQN7

not attested not anchored not stored refs pending

A sharp stability criterion for single well Duffing and Duffing-like equations

Alain Haraux (LJLL)

arxiv:1906.01298 v1 · 2019-06-04 · math.DS · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK2TNDFBLCMSJ6AZVFRGYJYQN7}

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	2026-05-17T23:44:17.087406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab5368ca1589924f819a9626c27106fe22dcd689543994a4d3a06ea2b3329b2

Aliases

arxiv: 1906.01298 · arxiv_version: 1906.01298v1 · doi: 10.48550/arxiv.1906.01298 · pith_short_12: ZK2TNDFBLCMS · pith_short_16: ZK2TNDFBLCMSJ6AZ · pith_short_8: ZK2TNDFB

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/ZK2TNDFBLCMSJ6AZVFRGYJYQN7 \
  | 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: cab5368ca1589924f819a9626c27106fe22dcd689543994a4d3a06ea2b3329b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec549cf3e38b513b47c02bcb645941282d5384bc516e06fc72a25dc3736ee7c",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-04T09:40:23Z",
    "title_canon_sha256": "4ddc63b8081fb8b68d0a829fd65775536b7b163440403a9f27c990215e79294f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01298",
    "kind": "arxiv",
    "version": 1
  }
}