Pith Number

pith:SUGZRWRD

pith:2014:SUGZRWRD4DDB5GBUVWHTEW4ILG

not attested not anchored not stored refs pending

The dual foliation of some singular Riemannian foliations

Yi Shi

arxiv:1408.0060 v3 · 2014-08-01 · 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{SUGZRWRD4DDB5GBUVWHTEW4ILG}

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	2026-05-18T00:53:21.230339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

950d98da23e0c61e9834ad8f325b88599990df65047e0dff7b5f2848e1adf26e

Aliases

arxiv: 1408.0060 · arxiv_version: 1408.0060v3 · doi: 10.48550/arxiv.1408.0060 · pith_short_12: SUGZRWRD4DDB · pith_short_16: SUGZRWRD4DDB5GBU · pith_short_8: SUGZRWRD

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/SUGZRWRD4DDB5GBUVWHTEW4ILG \
  | 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: 950d98da23e0c61e9834ad8f325b88599990df65047e0dff7b5f2848e1adf26e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f0d84570a074cc5ea5f1e572583a2eae37243f1132e06347a9607963b02d43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-01T02:13:17Z",
    "title_canon_sha256": "70c2e9d495f49b591e00d5e4af3dbc27ef1d5cb50e1e3c299f282390106d8fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0060",
    "kind": "arxiv",
    "version": 3
  }
}