Pith Number

pith:OFYGKROI

pith:2011:OFYGKROINQRYY42QSKO43OZIOS

not attested not anchored not stored refs pending

On Levi-flat hypersurfaces tangent to holomorphic webs

Arturo Fern\'andez-P\'erez

arxiv:1109.1608 v2 · 2011-09-08 · 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{OFYGKROINQRYY42QSKO43OZIOS}

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	2026-05-18T04:13:15.540724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71706545c86c238c7350929dcdbb2874b60b1926e8aa52d1556a059a72f0b44e

Aliases

arxiv: 1109.1608 · arxiv_version: 1109.1608v2 · doi: 10.48550/arxiv.1109.1608 · pith_short_12: OFYGKROINQRY · pith_short_16: OFYGKROINQRYY42Q · pith_short_8: OFYGKROI

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/OFYGKROINQRYY42QSKO43OZIOS \
  | 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: 71706545c86c238c7350929dcdbb2874b60b1926e8aa52d1556a059a72f0b44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c93da7017dc29a5ac48342db69a337c0116d62a456d2f9c90ce4dcbe777e399",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-08T01:03:48Z",
    "title_canon_sha256": "e6589fa4e57c8f0e7b4c294204df9c7c581c97934ecc64e54ab1c7ce198988d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1608",
    "kind": "arxiv",
    "version": 2
  }
}