Pith Number

pith:JKUJZLRQ

pith:2026:JKUJZLRQ7IXFN3RT6QJLAZ3AQH

not attested not anchored not stored refs pending

Spherical Geometrical Bases of Spherical Origami

Takashi Yoshino

Spherical origami is defined by extending the seven Huzita-Justin axioms to explicit spherical equations on the unit sphere and by using equidistant curves for three-dimensional folds.

arxiv:2605.01184 v2 · 2026-05-02 · cs.CG · cs.GR

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\pithnumber{JKUJZLRQ7IXFN3RT6QJLAZ3AQH}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

For origami on S^2, the definitions of Euclidean origami are systematically extended to the spherical setting, and all seven Huzita--Justin axioms are shown to admit explicit equations in spherical geometry.

C2weakest assumption

That the standard definitions and axioms of flat Euclidean origami can be directly and consistently extended to the spherical setting without introducing new inconsistencies or requiring additional constraints not present in the Euclidean case.

C3one line summary

A rigorous framework extends the seven Huzita-Justin origami axioms to spherical geometry on the unit sphere and introduces equidistant curves for three-dimensional spherical sheet folding.

Receipt and verification

First computed	2026-05-20T00:03:13.380629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa89cae30fa2e56ee33f412b0676081ca29465d9c74dcc12d57942e6ebdb49f

Aliases

arxiv: 2605.01184 · arxiv_version: 2605.01184v2 · doi: 10.48550/arxiv.2605.01184 · pith_short_12: JKUJZLRQ7IXF · pith_short_16: JKUJZLRQ7IXFN3RT · pith_short_8: JKUJZLRQ

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/JKUJZLRQ7IXFN3RT6QJLAZ3AQH \
  | 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: 4aa89cae30fa2e56ee33f412b0676081ca29465d9c74dcc12d57942e6ebdb49f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4a33fc8b95da9dacfcfb5e3576a903e0d2fea5bfc63a010053e9fef5caf870",
    "cross_cats_sorted": [
      "cs.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-05-02T01:24:22Z",
    "title_canon_sha256": "ddc5ce87419fc1213792154f2a9fe54ff03e7bd33fc495ef0c879d1caabeecf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.01184",
    "kind": "arxiv",
    "version": 2
  }
}