Pith Number

pith:4JWWRXVX

pith:2026:4JWWRXVXQUUOKKWRMBLQ25GOOA

not attested not anchored not stored refs pending

Real analytic lift of foliations of Thurston and Tsuboi

Shigeyuki Morita, Teruaki Kitano, Yoshihiko Mitsumatsu

arxiv:2606.01017 v1 · 2026-05-31 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JWWRXVXQUUOKKWRMBLQ25GOOA}

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	2026-06-02T01:04:18.534869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26d68deb78528e52ad160570d74ce7033fc3025f26e5325d61ed33bf140ba92

Aliases

arxiv: 2606.01017 · arxiv_version: 2606.01017v1 · doi: 10.48550/arxiv.2606.01017 · pith_short_12: 4JWWRXVXQUUO · pith_short_16: 4JWWRXVXQUUOKKWR · pith_short_8: 4JWWRXVX

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/4JWWRXVXQUUOKKWRMBLQ25GOOA \
  | 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: e26d68deb78528e52ad160570d74ce7033fc3025f26e5325d61ed33bf140ba92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec0459fe0f6a655a61cf4e9627a80929e3f12f17bc99f652b1618298002f3fb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-31T05:21:08Z",
    "title_canon_sha256": "eb4f182f0fe9d68cf6888923a161bf18a111fa7bf9197f258639d7538b22df57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01017",
    "kind": "arxiv",
    "version": 1
  }
}