Pith Number

pith:PYIUKVR7

pith:2016:PYIUKVR7Q54OT2DSHV2S6BPWUX

not attested not anchored not stored refs pending

Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov-Schmidt reduction

Douglas D. Novaes, Jaume Llibre, Murilo R. C\^andido

arxiv:1611.04807 v2 · 2016-11-15 · 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{PYIUKVR7Q54OT2DSHV2S6BPWUX}

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	2026-05-18T00:38:09.206098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1145563f8778e9e8723d752f05f6a5d3069e2b406db08c5962c252f4656f55

Aliases

arxiv: 1611.04807 · arxiv_version: 1611.04807v2 · doi: 10.48550/arxiv.1611.04807 · pith_short_12: PYIUKVR7Q54O · pith_short_16: PYIUKVR7Q54OT2DS · pith_short_8: PYIUKVR7

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/PYIUKVR7Q54OT2DSHV2S6BPWUX \
  | 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: 7e1145563f8778e9e8723d752f05f6a5d3069e2b406db08c5962c252f4656f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d48e591d4828d685e6180ea3bf042b6ae0cdf31b7055a6544c8455f0e9b6ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-15T12:36:35Z",
    "title_canon_sha256": "12d2b746569ffa2550bdc99c89b40e365c1d91266dfed11b83c03678ce72a536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04807",
    "kind": "arxiv",
    "version": 2
  }
}