Pith Number

pith:NOUZE5VO

pith:2016:NOUZE5VOSRMWTNWDJC4V6P6HCH

not attested not anchored not stored refs pending

Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Camila A. B. Rodrigues, Douglas D. Novaes, Jaume Llibre

arxiv:1607.04086 v1 · 2016-07-14 · 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{NOUZE5VOSRMWTNWDJC4V6P6HCH}

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	2026-05-18T00:06:12.642648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba99276ae945969b6c348b95f3fc711c423448a039c69276cdb66807467e4b0

Aliases

arxiv: 1607.04086 · arxiv_version: 1607.04086v1 · doi: 10.48550/arxiv.1607.04086 · pith_short_12: NOUZE5VOSRMW · pith_short_16: NOUZE5VOSRMWTNWD · pith_short_8: NOUZE5VO

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/NOUZE5VOSRMWTNWDJC4V6P6HCH \
  | 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: 6ba99276ae945969b6c348b95f3fc711c423448a039c69276cdb66807467e4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716eb9e367260b483a384d62a2e3e9f67e9cf1c39eab90fb5bff8c6ae0fbe8f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-14T11:08:06Z",
    "title_canon_sha256": "f1e6440f7a69daf01b0577952b4b4e8ac456369655c847020088c0c63212a92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04086",
    "kind": "arxiv",
    "version": 1
  }
}