Pith Number

pith:TU7VEZMB

pith:2007:TU7VEZMBEKOR4ZXOBDT2NHNIVB

not attested not anchored not stored refs pending

Levi-flat hypersurfaces with real analytic boundary

Jiri Lebl

arxiv:0710.3801 v3 · 2007-10-19 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU7VEZMBEKOR4ZXOBDT2NHNIVB}

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	2026-05-18T04:42:03.508118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3f526581229d1e66ee08e7a69da8a8516d40f1e8ec9a429edd4da728163c6d

Aliases

arxiv: 0710.3801 · arxiv_version: 0710.3801v3 · doi: 10.48550/arxiv.0710.3801 · pith_short_12: TU7VEZMBEKOR · pith_short_16: TU7VEZMBEKOR4ZXO · pith_short_8: TU7VEZMB

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/TU7VEZMBEKOR4ZXOBDT2NHNIVB \
  | 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: 9d3f526581229d1e66ee08e7a69da8a8516d40f1e8ec9a429edd4da728163c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357b77bc856843db901b1e467a81c5440a4a1fc1121bddb898c4fda4a0b94af4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2007-10-19T23:14:09Z",
    "title_canon_sha256": "e54668ecb98a14bc9b0e02a8bdccce2979f379c856df8cff93cc94d93bb9dc93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3801",
    "kind": "arxiv",
    "version": 3
  }
}