Pith Number

pith:QSLG53XC

pith:2016:QSLG53XC6SLQ2WH3HU4Q4KBTFS

not attested not anchored not stored refs pending

Closure of singular foliations: the proof of Molino's conjecture

Marco Radeschi, Marcos M. Alexandrino

arxiv:1608.03552 v2 · 2016-08-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSLG53XC6SLQ2WH3HU4Q4KBTFS}

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	2026-05-17T23:53:13.074469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84966eeee2f4970d58fb3d390e28332cab52fce9ef1c794e430d548aa5335a1f

Aliases

arxiv: 1608.03552 · arxiv_version: 1608.03552v2 · doi: 10.48550/arxiv.1608.03552 · pith_short_12: QSLG53XC6SLQ · pith_short_16: QSLG53XC6SLQ2WH3 · pith_short_8: QSLG53XC

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/QSLG53XC6SLQ2WH3HU4Q4KBTFS \
  | 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: 84966eeee2f4970d58fb3d390e28332cab52fce9ef1c794e430d548aa5335a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f393f2c49b4e4f6375fd6d91ace3607bfb5e89c79541ad6dc992a184fccbbb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-11T17:54:02Z",
    "title_canon_sha256": "e50d0505084a2d1b9a8cd674a991a98080f1c63c096fb601f7076bc133f6fca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03552",
    "kind": "arxiv",
    "version": 2
  }
}