Pith Number

pith:OR4QOI7K

pith:2026:OR4QOI7KMGWMZ3NGKUZC3LCODU

not attested not anchored not stored refs pending

Shapes of light: singularities of slant functions and the Gauss map of a surface

Shuhei Honda, Yutaro Kabata

arxiv:2606.04702 v1 · 2026-06-03 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OR4QOI7KMGWMZ3NGKUZC3LCODU}

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	2026-06-04T01:09:25.669936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74790723ea61accceda655322dac4e1d332530b79578363529ee0f71b3c7a2ee

Aliases

arxiv: 2606.04702 · arxiv_version: 2606.04702v1 · doi: 10.48550/arxiv.2606.04702 · pith_short_12: OR4QOI7KMGWM · pith_short_16: OR4QOI7KMGWMZ3NG · pith_short_8: OR4QOI7K

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/OR4QOI7KMGWMZ3NGKUZC3LCODU \
  | 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: 74790723ea61accceda655322dac4e1d332530b79578363529ee0f71b3c7a2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73270c4a7958191491757f2b268cbf586b221cc7d569f66fe4cb94a071914d2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-03T10:29:41Z",
    "title_canon_sha256": "2d71fab24b387ec70a10f15fed2077c97a3eb0a695429cfdbfdc90c5a857de7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04702",
    "kind": "arxiv",
    "version": 1
  }
}