Pith Number

pith:CZ3LTEHR

pith:2018:CZ3LTEHRF4CUWLWDQ7WMGC4VIO

not attested not anchored not stored refs pending

Riemannian foliation with exotic tori as leaves

F. Thomas Farrell, Xiaolei Wu

arxiv:1809.09000 v2 · 2018-09-24 · math.AT · 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{CZ3LTEHRF4CUWLWDQ7WMGC4VIO}

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	2026-05-17T23:41:45.937666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1676b990f12f054b2ec387ecc30b9543973f9c88bcf52f80b9a95da2d8977dd6

Aliases

arxiv: 1809.09000 · arxiv_version: 1809.09000v2 · doi: 10.48550/arxiv.1809.09000 · pith_short_12: CZ3LTEHRF4CU · pith_short_16: CZ3LTEHRF4CUWLWD · pith_short_8: CZ3LTEHR

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/CZ3LTEHRF4CUWLWDQ7WMGC4VIO \
  | 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: 1676b990f12f054b2ec387ecc30b9543973f9c88bcf52f80b9a95da2d8977dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9588fd732e9f9501248dbba1e956ad4f40c2f3107f9d90e18c639f10eb37efdb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-09-24T15:27:26Z",
    "title_canon_sha256": "8f0091ed065effc04e2bc3c0a5cf6c16614f4d0c7b4abd40f3f761ecb487e5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09000",
    "kind": "arxiv",
    "version": 2
  }
}