Pith Number

pith:ZMMD52KZ

pith:2012:ZMMD52KZUZC4DNGGYKNDV67UUZ

not attested not anchored not stored refs pending

Foliations by Curves with Curves as Singularities

Arturo Fernandez Perez, Gilcione Nonato Costa, Maur\'icio Corr\^ea Jr, Renato Vidal Martins

arxiv:1209.5618 v1 · 2012-09-25 · math.AG · math.CV · 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{ZMMD52KZUZC4DNGGYKNDV67UUZ}

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	2026-05-18T00:03:34.727703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb183ee959a645c1b4c6c29a3afbf4a65487c5e82eef55bd207a67a9dadb5577

Aliases

arxiv: 1209.5618 · arxiv_version: 1209.5618v1 · doi: 10.48550/arxiv.1209.5618 · pith_short_12: ZMMD52KZUZC4 · pith_short_16: ZMMD52KZUZC4DNGG · pith_short_8: ZMMD52KZ

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/ZMMD52KZUZC4DNGGYKNDV67UUZ \
  | 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: cb183ee959a645c1b4c6c29a3afbf4a65487c5e82eef55bd207a67a9dadb5577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1489150be33f5ae65d4b219d9446e5cb0ff5c4e5cac4997812a465c0ab8058",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-25T14:22:39Z",
    "title_canon_sha256": "466cc576cd5459db57f895ffff1d46af5bd860c0286ee6468179e41ffa336034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5618",
    "kind": "arxiv",
    "version": 1
  }
}