pith. sign in
Pith Number

pith:A4AMLPB7

pith:2018:A4AMLPB75U52RSPQ5Y7ZLNDRSP
not attested not anchored not stored refs pending

On surfaces endowed with canonical principal direction in Euclidean spaces

Alev Kelleci, Mahmut Erg\"ut, Nurettin Cenk Turgay

arxiv:1804.04705 v1 · 2018-04-11 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A4AMLPB75U52RSPQ5Y7ZLNDRSP}

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 2026-05-18T00:18:35.238198Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0700c5bc3fed3ba8c9f0ee3f95b47193eb2e862d3a420f51e74766f3a0e58b62

Aliases

arxiv: 1804.04705 · arxiv_version: 1804.04705v1 · doi: 10.48550/arxiv.1804.04705 · pith_short_12: A4AMLPB75U52 · pith_short_16: A4AMLPB75U52RSPQ · pith_short_8: A4AMLPB7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A4AMLPB75U52RSPQ5Y7ZLNDRSP \
  | 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: 0700c5bc3fed3ba8c9f0ee3f95b47193eb2e862d3a420f51e74766f3a0e58b62
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b4efb8ab9e17d9a5b295c68cba82f5bec23d4f3631332ed8cec628ee9b283f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-11T05:07:46Z",
    "title_canon_sha256": "3f2455c99851b3bf235701e5a6804b7d1a307f8b92e6e8c152d28839c1ffabe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04705",
    "kind": "arxiv",
    "version": 1
  }
}