Pith Number

pith:KJ5SJGSK

pith:2015:KJ5SJGSKBJJKO47P3CNGMKCDVP

not attested not anchored not stored refs pending

Affine connections and singularities of tangent surfaces to space curves

Goo Ishikawa, Tatsuya Yamashita

arxiv:1501.07341 v1 · 2015-01-29 · 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{KJ5SJGSKBJJKO47P3CNGMKCDVP}

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	2026-05-18T02:28:22.217829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527b249a4a0a52a773efd89a662843abe5982050cc50adb9d8694eaa6f279676

Aliases

arxiv: 1501.07341 · arxiv_version: 1501.07341v1 · doi: 10.48550/arxiv.1501.07341 · pith_short_12: KJ5SJGSKBJJK · pith_short_16: KJ5SJGSKBJJKO47P · pith_short_8: KJ5SJGSK

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/KJ5SJGSKBJJKO47P3CNGMKCDVP \
  | 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: 527b249a4a0a52a773efd89a662843abe5982050cc50adb9d8694eaa6f279676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826b12b8096cf825fcd0472d4ff90e8f4dd2a8ad2b7b7a98c130aa9e50f7d615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-29T04:39:22Z",
    "title_canon_sha256": "323bc39bf2abc3dcd929de8859ae191fe39d1d01cda9e2fc5b079923c4b386ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07341",
    "kind": "arxiv",
    "version": 1
  }
}