Pith Number

pith:ZHU2WDTV

pith:2011:ZHU2WDTVPXDRE6LQ6BS2V3DQ5P

not attested not anchored not stored refs pending

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

Eva Kaslik, Seenith Sivasundaram

arxiv:1108.2825 v2 · 2011-08-13 · 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{ZHU2WDTVPXDRE6LQ6BS2V3DQ5P}

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	2026-05-18T04:04:54.730943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e9ab0e757dc7127970f065aaec70ebfe23ced930ff8346a09abe96ac16a4b1

Aliases

arxiv: 1108.2825 · arxiv_version: 1108.2825v2 · doi: 10.48550/arxiv.1108.2825 · pith_short_12: ZHU2WDTVPXDR · pith_short_16: ZHU2WDTVPXDRE6LQ · pith_short_8: ZHU2WDTV

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/ZHU2WDTVPXDRE6LQ6BS2V3DQ5P \
  | 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: c9e9ab0e757dc7127970f065aaec70ebfe23ced930ff8346a09abe96ac16a4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98da63637258c040dea7b2fa984569868493e1f5d42e3d14300798da1fb1a0dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-13T21:40:55Z",
    "title_canon_sha256": "5d9e3d45a65b80ae0203f0fccf48ba1a3442b9ba88116547377fb54ab254a54a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2825",
    "kind": "arxiv",
    "version": 2
  }
}