Pith Number

pith:IF6EPTWD

pith:2011:IF6EPTWDLEMJV2JGOWQ3PW3GR4

not attested not anchored not stored refs pending

Smarandache Curves According to Bishop Frame in Euclidean 3-Space

Muhammed \c{C}etin, Murat Kemal Karacan, Y{\i}lmaz Tun\c{c}er

arxiv:1106.3202 v1 · 2011-06-16 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IF6EPTWDLEMJV2JGOWQ3PW3GR4}

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	2026-05-18T01:09:25.434154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

417c47cec359189ae92675a1b7db668f01b98313b2cd8e02f5102673518c278a

Aliases

arxiv: 1106.3202 · arxiv_version: 1106.3202v1 · doi: 10.48550/arxiv.1106.3202 · pith_short_12: IF6EPTWDLEMJ · pith_short_16: IF6EPTWDLEMJV2JG · pith_short_8: IF6EPTWD

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/IF6EPTWDLEMJV2JGOWQ3PW3GR4 \
  | 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: 417c47cec359189ae92675a1b7db668f01b98313b2cd8e02f5102673518c278a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f98360c77383645efc4cd41e4f17a42bb584a032bb2bbe3b5feea96fecaafe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-06-16T11:35:04Z",
    "title_canon_sha256": "42f05b3127db20208b56abe7b06818ee13396d439c372198cde0b1aac5d362b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3202",
    "kind": "arxiv",
    "version": 1
  }
}