Pith Number

pith:ZECSSOJ3

pith:2011:ZECSSOJ3BOQGIVXPNHT4P4RYCT

not attested not anchored not stored refs pending

Correction to "A smooth foliation of the 5-sphere by complex surfaces"

Alberto Verjovsky, Laurent Meersseman

arxiv:1106.0504 v1 · 2011-06-02 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZECSSOJ3BOQGIVXPNHT4P4RYCT}

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	2026-05-18T04:20:49.300565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c90529393b0ba06456ef69e7c7f23814db14946fb050b8944f0d8500e3b9c152

Aliases

arxiv: 1106.0504 · arxiv_version: 1106.0504v1 · doi: 10.48550/arxiv.1106.0504 · pith_short_12: ZECSSOJ3BOQG · pith_short_16: ZECSSOJ3BOQGIVXP · pith_short_8: ZECSSOJ3

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/ZECSSOJ3BOQGIVXPNHT4P4RYCT \
  | 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: c90529393b0ba06456ef69e7c7f23814db14946fb050b8944f0d8500e3b9c152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000025f7bea3ec642f49921b5c2a728632e2251d7e3b7d2018befa004b864fe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-02T20:08:19Z",
    "title_canon_sha256": "cb0fc73e1e2b33694a44ee00e145d3d9568625b89ba2277a43b56a64d0eeb6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0504",
    "kind": "arxiv",
    "version": 1
  }
}