Pith Number

pith:UDR34I5X

pith:2015:UDR34I5XVVIT7Y3DCLFWKSHXEL

not attested not anchored not stored refs pending

Compact leaves of codimension one holomorphic foliations on projective manifolds

Beno\^it Claudon, Frank Loray (IRMAR), Fr\'ed\'eric Touzet (IRMAR), Jorge Pereira (IMPA)

arxiv:1512.06623 v2 · 2015-12-21 · math.CA · 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{UDR34I5XVVIT7Y3DCLFWKSHXEL}

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	2026-05-18T00:06:51.639260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e3be23b7ad513fe36312cb6548f722e905577472dccc59b934b7d89472021e

Aliases

arxiv: 1512.06623 · arxiv_version: 1512.06623v2 · doi: 10.48550/arxiv.1512.06623 · pith_short_12: UDR34I5XVVIT · pith_short_16: UDR34I5XVVIT7Y3D · pith_short_8: UDR34I5X

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/UDR34I5XVVIT7Y3DCLFWKSHXEL \
  | 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: a0e3be23b7ad513fe36312cb6548f722e905577472dccc59b934b7d89472021e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71cea18658d8cfda70f4f0a1a691812d8f0de90e570c9b78b90383dce19a026",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-21T13:37:35Z",
    "title_canon_sha256": "9a8723c4adc81682850d5ba69dcff51ad76534839e476fb82279fb62fccf9139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06623",
    "kind": "arxiv",
    "version": 2
  }
}