Pith Number

pith:Q4JGNHMI

pith:2017:Q4JGNHMIRVH2QV3IZLSF63MJ4K

not attested not anchored not stored refs pending

Birth of isolated nested cylinders and limit cycles in 3D piecewise smooth vector fields with symmetry

Bruno Rodrigues de Freitas, Tiago Carvalho

arxiv:1702.01306 v1 · 2017-02-04 · 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{Q4JGNHMIRVH2QV3IZLSF63MJ4K}

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	2026-05-18T00:51:23.829407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8712669d888d4fa85768cae45f6d89e2b90d830033d3662624015946cfdf22e3

Aliases

arxiv: 1702.01306 · arxiv_version: 1702.01306v1 · doi: 10.48550/arxiv.1702.01306 · pith_short_12: Q4JGNHMIRVH2 · pith_short_16: Q4JGNHMIRVH2QV3I · pith_short_8: Q4JGNHMI

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/Q4JGNHMIRVH2QV3IZLSF63MJ4K \
  | 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: 8712669d888d4fa85768cae45f6d89e2b90d830033d3662624015946cfdf22e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d543a9f416248f45126ca4fc1b03d64a960a5a27982a9a97ae7a7792f095104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-04T17:08:39Z",
    "title_canon_sha256": "d27b2b13c344ba7b732b3c91e9ebf97f8b4e060ad95b47dcee39acf272e163fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01306",
    "kind": "arxiv",
    "version": 1
  }
}