Pith Number

pith:5PGUHHTM

pith:2004:5PGUHHTM5KHRWYRXHCPNWYNEUJ

not attested not anchored not stored refs pending

On the moduli space of certain smooth codimension one foliations of the 5-sphere by complex surfaces

Alberto Verjovsky, Laurent Meersseman

arxiv:math/0411381 v5 · 2004-11-17 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PGUHHTM5KHRWYRXHCPNWYNEUJ}

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	2026-05-18T04:08:35.918967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebcd439e6cea8f1b6237389edb61a4a2554107cb8ec4346d8bcbeee24b1b3494

Aliases

arxiv: math/0411381 · arxiv_version: math/0411381v5 · doi: 10.48550/arxiv.math/0411381 · pith_short_12: 5PGUHHTM5KHR · pith_short_16: 5PGUHHTM5KHRWYRX · pith_short_8: 5PGUHHTM

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/5PGUHHTM5KHRWYRXHCPNWYNEUJ \
  | 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: ebcd439e6cea8f1b6237389edb61a4a2554107cb8ec4346d8bcbeee24b1b3494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66d83a2debb115683369027e0d717263e9e56655f2ef9475766ac8c78649eb0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-11-17T16:03:19Z",
    "title_canon_sha256": "b93ca5f9cf38bd5bc3090a2a130f0f48c0910d603797e8291bc30b349251cc5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411381",
    "kind": "arxiv",
    "version": 5
  }
}