Pith Number

pith:MSI5YORC

pith:2010:MSI5YORC6OYB4WSUKHPXWKJSZQ

not attested not anchored not stored refs pending

Extension theorems for analytic objects associated to foliations

Bruno Sc\'ardua, C\'esar Camacho

arxiv:1010.1315 v1 · 2010-10-07 · 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{MSI5YORC6OYB4WSUKHPXWKJSZQ}

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	2026-05-18T04:39:41.433109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6491dc3a22f3b01e5a5451df7b2932cc1042b7bec3b061458ba4623a364be307

Aliases

arxiv: 1010.1315 · arxiv_version: 1010.1315v1 · doi: 10.48550/arxiv.1010.1315 · pith_short_12: MSI5YORC6OYB · pith_short_16: MSI5YORC6OYB4WSU · pith_short_8: MSI5YORC

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/MSI5YORC6OYB4WSUKHPXWKJSZQ \
  | 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: 6491dc3a22f3b01e5a5451df7b2932cc1042b7bec3b061458ba4623a364be307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d55fbe9b62fd5b2b08f6b60d1e90ec0d13abff3f0471bde8d03f055eadad26",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-10-07T02:24:22Z",
    "title_canon_sha256": "5d763af8d0357e7c0906a2fe8afdd0ccee867dab436ef18256dd0d570cb53270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1315",
    "kind": "arxiv",
    "version": 1
  }
}