Pith Number

pith:VF5YBIM3

pith:2025:VF5YBIM3IMGRTHBSBTMKH2K3PY

not attested not anchored not stored refs pending

Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations

Andr\'e Schmidt, Kai Diethelm, Paul-Erik Haacker, Remco I. Leine, Renu Chaudhary, Safoura Hashemishahraki

arxiv:2509.24639 v3 · 2025-09-29 · eess.SY · cs.SY · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF5YBIM3IMGRTHBSBTMKH2K3PY}

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	2026-05-28T01:04:30.861511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97b80a19b430d199c320cd8a3e95b7e0722625f9b87007744572c87af0e9800

Aliases

arxiv: 2509.24639 · arxiv_version: 2509.24639v3 · doi: 10.48550/arxiv.2509.24639 · pith_short_12: VF5YBIM3IMGR · pith_short_16: VF5YBIM3IMGRTHBS · pith_short_8: VF5YBIM3

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/VF5YBIM3IMGRTHBSBTMKH2K3PY \
  | 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: a97b80a19b430d199c320cd8a3e95b7e0722625f9b87007744572c87af0e9800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6c98d11dc594d3f9c22a5821dee81e9bed4b10c5d021011acf2766f721086d",
    "cross_cats_sorted": [
      "cs.SY",
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-09-29T11:49:53Z",
    "title_canon_sha256": "01ce067c6f4f596c0c1d8ac88d1d32190ace6d87dffc11ddb0f068ce43bda801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24639",
    "kind": "arxiv",
    "version": 3
  }
}