Pith Number

pith:LVQ2CQFS

pith:2016:LVQ2CQFSJ6HQ3OXUZUX4TOPOEP

not attested not anchored not stored refs pending

Singularities of tangent surfaces to generic space curves

Goo Ishikawa, Tatsuya Yamashita

arxiv:1602.02458 v1 · 2016-02-08 · 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{LVQ2CQFSJ6HQ3OXUZUX4TOPOEP}

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	2026-05-18T01:21:09.881562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d61a140b24f8f0dbaf4cd2fc9b9ee23fa7cfbb868eff360504ec63e85cb85f8

Aliases

arxiv: 1602.02458 · arxiv_version: 1602.02458v1 · doi: 10.48550/arxiv.1602.02458 · pith_short_12: LVQ2CQFSJ6HQ · pith_short_16: LVQ2CQFSJ6HQ3OXU · pith_short_8: LVQ2CQFS

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/LVQ2CQFSJ6HQ3OXUZUX4TOPOEP \
  | 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: 5d61a140b24f8f0dbaf4cd2fc9b9ee23fa7cfbb868eff360504ec63e85cb85f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54cf4fd364995ed0986b2139a1b55044bf3a4ab187f3f8ee243aeeb7e2ea3fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-08T03:59:35Z",
    "title_canon_sha256": "ca34f751dc18e6b8181a939747b8ea7ab3a3abd1b2ab88d69e93854f2cb73219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02458",
    "kind": "arxiv",
    "version": 1
  }
}