Pith Number

pith:GXGW7LWV

pith:2010:GXGW7LWVVPOXWLWLJY3UGZXQIB

not attested not anchored not stored refs pending

Singular set of a Levi-flat hypersurface is Levi-flat

Jiri Lebl

arxiv:1012.5993 v3 · 2010-12-29 · 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{GXGW7LWVVPOXWLWLJY3UGZXQIB}

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	2026-05-18T03:05:35.926026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35cd6faed5abdd7b2ecb4e374366f04070b229c570f92f33aaf5e4fd4e3fb53c

Aliases

arxiv: 1012.5993 · arxiv_version: 1012.5993v3 · doi: 10.48550/arxiv.1012.5993 · pith_short_12: GXGW7LWVVPOX · pith_short_16: GXGW7LWVVPOXWLWL · pith_short_8: GXGW7LWV

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/GXGW7LWVVPOXWLWLJY3UGZXQIB \
  | 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: 35cd6faed5abdd7b2ecb4e374366f04070b229c570f92f33aaf5e4fd4e3fb53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b10ecde770a76a73327b0233c2e1c829a78eeaf8d26fb0c36d93addc9683d2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-29T18:01:17Z",
    "title_canon_sha256": "0ae4024e1d35aef130efcdcd3cbc4c9d89ec362603656b59b6a8cdcbeaae13f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5993",
    "kind": "arxiv",
    "version": 3
  }
}