Pith Number

pith:KTNV6RCB

pith:2012:KTNV6RCBHBAEXFHJVVM4ZAKJ42

not attested not anchored not stored refs pending

On Mannheim Partner Curves in three Dimensional Lie Groups

\.Ismail G\"ok, Nejat Ekmekci, O. Zeki Okuyucu, Yusuf Yayl{\i}

arxiv:1211.6141 v1 · 2012-11-26 · 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{KTNV6RCBHBAEXFHJVVM4ZAKJ42}

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	2026-05-18T01:09:26.185182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54db5f444138404b94e9ad59cc8149e6891fb39ab24595d6397867e53ac39c59

Aliases

arxiv: 1211.6141 · arxiv_version: 1211.6141v1 · doi: 10.48550/arxiv.1211.6141 · pith_short_12: KTNV6RCBHBAE · pith_short_16: KTNV6RCBHBAEXFHJ · pith_short_8: KTNV6RCB

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/KTNV6RCBHBAEXFHJVVM4ZAKJ42 \
  | 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: 54db5f444138404b94e9ad59cc8149e6891fb39ab24595d6397867e53ac39c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd455b31fd6b765cbaecfeed931ca71466262eff831754c8659331abc62b956",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-26T21:38:52Z",
    "title_canon_sha256": "f2ff7903044489052036c4063e8c6274c788ed3528f523154ab6c4cd430e0c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6141",
    "kind": "arxiv",
    "version": 1
  }
}