Pith Number

pith:Z5IASZY5

pith:2024:Z5IASZY5R37QAZYZZ3GSMH5P6M

not attested not anchored not stored refs pending

New minimal surface doublings of the Clifford torus and contributions to questions of Yau

Nikolaos Kapouleas, Peter McGrath

arxiv:2411.00613 v1 · 2024-11-01 · 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{Z5IASZY5R37QAZYZZ3GSMH5P6M}

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.

Cited by

1 paper in Pith

A new family of minimal surfaces of even genus in the three-dimensional sphere

Receipt and verification

First computed	2026-07-05T09:29:45.560073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5009671d8eff006719cecd261faff301301c4d7e662d1028f0c0ab992a97a5

Aliases

arxiv: 2411.00613 · arxiv_version: 2411.00613v1 · doi: 10.48550/arxiv.2411.00613 · pith_short_12: Z5IASZY5R37Q · pith_short_16: Z5IASZY5R37QAZYZ · pith_short_8: Z5IASZY5

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/Z5IASZY5R37QAZYZZ3GSMH5P6M \
  | 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: cf5009671d8eff006719cecd261faff301301c4d7e662d1028f0c0ab992a97a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec75e4ff4501b1d7771e7111549366d59e887d29293f780027a55b141116c7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-01T14:21:51Z",
    "title_canon_sha256": "7b5414b696ae4ebc2e533efd2280c41649eaa107466a35f65c29812e7356cbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.00613",
    "kind": "arxiv",
    "version": 1
  }
}