Pith Number

pith:UTD6Z77S

pith:2015:UTD6Z77S3UE77QCQQGTVWCND5O

not attested not anchored not stored refs pending

On the Laplace Normal Vector Field of Skew Ruled Surfaces

Stylianos Stamatakis

arxiv:1510.08489 v1 · 2015-10-28 · 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{UTD6Z77S3UE77QCQQGTVWCND5O}

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	2026-05-18T01:19:01.808683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c7ecfff2dd09ffc05081a75b09a3eba1a3167351b55aa92191033e8808c12e

Aliases

arxiv: 1510.08489 · arxiv_version: 1510.08489v1 · doi: 10.48550/arxiv.1510.08489 · pith_short_12: UTD6Z77S3UE7 · pith_short_16: UTD6Z77S3UE77QCQ · pith_short_8: UTD6Z77S

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/UTD6Z77S3UE77QCQQGTVWCND5O \
  | 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: a4c7ecfff2dd09ffc05081a75b09a3eba1a3167351b55aa92191033e8808c12e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a259eb159478416d68f21d3397fb51520ae070da1b94c717d3d45c5a15b4c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-28T21:15:38Z",
    "title_canon_sha256": "121642cc29f7dc79fb7dd9fea9f088260af24c2a7980160a5054db897a8b8f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08489",
    "kind": "arxiv",
    "version": 1
  }
}