Pith Number

pith:KZJ7ERY5

pith:2019:KZJ7ERY5ZBCCBZPUGLDDB77TLO

not attested not anchored not stored refs pending

Invariant Hypersurfaces and Nodal Components of Foliations

Felipe Cano, Jean Fran\c{c}ois Mattei, Marianna Ravara-Vago

arxiv:1908.08324 v1 · 2019-08-22 · math.DS · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZJ7ERY5ZBCCBZPUGLDDB77TLO}

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	2026-07-04T23:59:11.763135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5653f2471dc84420e5f432c630fff35b883fd70cfa52066d7f26591ab51744a7

Aliases

arxiv: 1908.08324 · arxiv_version: 1908.08324v1 · doi: 10.48550/arxiv.1908.08324 · pith_short_12: KZJ7ERY5ZBCC · pith_short_16: KZJ7ERY5ZBCCBZPU · pith_short_8: KZJ7ERY5

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/KZJ7ERY5ZBCCBZPUGLDDB77TLO \
  | 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: 5653f2471dc84420e5f432c630fff35b883fd70cfa52066d7f26591ab51744a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba373a3a012954ef2260e3ae6722ae17b92742d5ef95bfd3333b8769e873cf9c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-22T11:41:30Z",
    "title_canon_sha256": "1688d5eeadc1ecc9521f245cf7d168d0f721db9072ac481d00910fb0d0fce7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08324",
    "kind": "arxiv",
    "version": 1
  }
}