pith. sign in
Pith Number

pith:YBVKFPPM

pith:2018:YBVKFPPMCKTT4MO7QCYNN5OOYK
not attested not anchored not stored refs pending

Convex foliations of degree 4 on the complex projective plane

David Mar\'in, Samir Bedrouni

arxiv:1811.07735 v2 · 2018-11-16 · math.DG · math.CV · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YBVKFPPMCKTT4MO7QCYNN5OOYK}

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 2026-05-17T23:58:47.273864Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c06aa2bdec12a73e31df80b0d6f5cec29bb360511cf9803bbae04d1ca55a7991

Aliases

arxiv: 1811.07735 · arxiv_version: 1811.07735v2 · doi: 10.48550/arxiv.1811.07735 · pith_short_12: YBVKFPPMCKTT · pith_short_16: YBVKFPPMCKTT4MO7 · pith_short_8: YBVKFPPM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK \
  | 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: c06aa2bdec12a73e31df80b0d6f5cec29bb360511cf9803bbae04d1ca55a7991
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "01582bd1669fe5e8dd65d2012917e4d011c18e083e0dbba4597f048066efc3e3",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-16T12:27:10Z",
    "title_canon_sha256": "c780a1a49e056c6bbe70a12f9279bdb3e7cd158a6375ff8019b92f1d8870578c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07735",
    "kind": "arxiv",
    "version": 2
  }
}