Pith Number

pith:2ZL3TXN2

pith:2015:2ZL3TXN2UGJDM2R6PWBXZ63EH4

not attested not anchored not stored refs pending

Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+2)-dimension

I.O. Zeli, J. Llibre, M.A. Teixeira

arxiv:1501.01987 v2 · 2015-01-08 · 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{2ZL3TXN2UGJDM2R6PWBXZ63EH4}

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	2026-05-18T02:29:17.054862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d657b9ddbaa192366a3e7d837cfb643f24f4b9a510834a904a443a55c93bd307

Aliases

arxiv: 1501.01987 · arxiv_version: 1501.01987v2 · doi: 10.48550/arxiv.1501.01987 · pith_short_12: 2ZL3TXN2UGJD · pith_short_16: 2ZL3TXN2UGJDM2R6 · pith_short_8: 2ZL3TXN2

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/2ZL3TXN2UGJDM2R6PWBXZ63EH4 \
  | 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: d657b9ddbaa192366a3e7d837cfb643f24f4b9a510834a904a443a55c93bd307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d358df95d946daf5e9221a92ae248c37664dfc71a3a3445b0668120e227770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-08T21:23:22Z",
    "title_canon_sha256": "286c5c516189c662bf2720566f8c82a09035e070d2fad1b84850593787ab4d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01987",
    "kind": "arxiv",
    "version": 2
  }
}