Pith Number

pith:H5XWNX5I

pith:2018:H5XWNX5INUV5XTMLBQ7BMLTWCQ

not attested not anchored not stored refs pending

Sasakian immersions into the sphere

Andrea Loi, Beniamino Cappelletti-Montano

arxiv:1810.00772 v2 · 2018-10-01 · 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{H5XWNX5INUV5XTMLBQ7BMLTWCQ}

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	2026-05-18T00:02:59.342344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6f66dfa86d2bdbcd8b0c3e162e76140567675283f3113e0ef282b3ac08a092

Aliases

arxiv: 1810.00772 · arxiv_version: 1810.00772v2 · doi: 10.48550/arxiv.1810.00772 · pith_short_12: H5XWNX5INUV5 · pith_short_16: H5XWNX5INUV5XTML · pith_short_8: H5XWNX5I

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/H5XWNX5INUV5XTMLBQ7BMLTWCQ \
  | 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: 3f6f66dfa86d2bdbcd8b0c3e162e76140567675283f3113e0ef282b3ac08a092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e403c7d61f5db75685a0125672b62118cf00e0133efc73635a458a4fbd9a4a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-01T15:48:49Z",
    "title_canon_sha256": "5081dbb3799ddee1325978b6431e9feaaf3d12c976e97e9da31a296eb5ed24de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00772",
    "kind": "arxiv",
    "version": 2
  }
}