pith. sign in
Pith Number

pith:JPJWUR7I

pith:2011:JPJWUR7IATQMU2XPO6F43FZ57K
not attested not anchored not stored refs pending

Dual Darboux Frame of a Timelike Ruled Surface and Darboux Approach to Mannheim Offsets of Timelike Ruled Surfaces

H. H\"useyin U\u{g}urlu, Mehmet \"Onder

arxiv:1108.6076 v3 · 2011-08-30 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JPJWUR7IATQMU2XPO6F43FZ57K}

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 2026-05-18T03:28:43.081226Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4bd36a47e804e0ca6aef778bcd973dfa99cb52a038d2c644ab397292258a109a

Aliases

arxiv: 1108.6076 · arxiv_version: 1108.6076v3 · doi: 10.48550/arxiv.1108.6076 · pith_short_12: JPJWUR7IATQM · pith_short_16: JPJWUR7IATQMU2XP · pith_short_8: JPJWUR7I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JPJWUR7IATQMU2XPO6F43FZ57K \
  | 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: 4bd36a47e804e0ca6aef778bcd973dfa99cb52a038d2c644ab397292258a109a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0ac8872bb986e43f28061de2c42288cbce6ceb5a512a149257e0939b4ac79740",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-30T20:37:28Z",
    "title_canon_sha256": "f83ab297e6190777e57964914311b3c491cfb61ed421dd7c25a822575768466f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6076",
    "kind": "arxiv",
    "version": 3
  }
}