Pith Number

pith:NDEW5DCF

pith:2018:NDEW5DCFQFRVIQWW7HZAII6WQ4

not attested not anchored not stored refs pending

On singular real analytic Levi-flat foliations

Arturo Fern\'andez-P\'erez, Rog\'erio Mol, Rudy Rosas

arxiv:1808.01833 v1 · 2018-08-06 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDEW5DCFQFRVIQWW7HZAII6WQ4}

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	2026-05-18T00:08:49.570564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c96e8c4581635442d6f9f20423d6870ea19db7ee2a0fd22b0e83dd8143bf78

Aliases

arxiv: 1808.01833 · arxiv_version: 1808.01833v1 · doi: 10.48550/arxiv.1808.01833 · pith_short_12: NDEW5DCFQFRV · pith_short_16: NDEW5DCFQFRVIQWW · pith_short_8: NDEW5DCF

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/NDEW5DCFQFRVIQWW7HZAII6WQ4 \
  | 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: 68c96e8c4581635442d6f9f20423d6870ea19db7ee2a0fd22b0e83dd8143bf78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da874a502d44b1a72228c9f752ac7738c620d156c541d8031e1d3b25a2e4692e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-06T11:55:33Z",
    "title_canon_sha256": "1b7fc38235415bdb6e4ab2d5d8a3cd29a4aa68ef6a4218a2feed79227c7baf2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01833",
    "kind": "arxiv",
    "version": 1
  }
}