Pith Number

pith:FPOMVOR6

pith:2011:FPOMVOR6MGKEBTIZSW27EB434U

not attested not anchored not stored refs pending

Bifurcations of Non Smooth Vector Fields on $\R^2$ by Geometric Singular Perturbations

Durval Jose Tonon, Tiago De Carvalho

arxiv:1111.4990 v2 · 2011-11-21 · 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{FPOMVOR6MGKEBTIZSW27EB434U}

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	2026-05-18T02:43:52.554529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bdccaba3e619440cd1995b5f2079be5398ca989e8f02c329586c6ffc40d4393

Aliases

arxiv: 1111.4990 · arxiv_version: 1111.4990v2 · doi: 10.48550/arxiv.1111.4990 · pith_short_12: FPOMVOR6MGKE · pith_short_16: FPOMVOR6MGKEBTIZ · pith_short_8: FPOMVOR6

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/FPOMVOR6MGKEBTIZSW27EB434U \
  | 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: 2bdccaba3e619440cd1995b5f2079be5398ca989e8f02c329586c6ffc40d4393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338c725a12f58d5c663c5abda0a094b5178ffe210df9f9b169554114a4f3768f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-21T20:00:49Z",
    "title_canon_sha256": "7ec76af914bf9a139c60f66fd97f4418d51e388f775c0d4622a51e246ab9816f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4990",
    "kind": "arxiv",
    "version": 2
  }
}