Pith Number

pith:KO2BR3DT

pith:2010:KO2BR3DT4WMY65Q34H7QVUVEZR

not attested not anchored not stored refs pending

Mannheim Offsets of the Timelike Ruled Surfaces with Spacelike Rulings in Dual Lorentzian Space

H. Huseyin Ugurlu, Mehmet Onder

arxiv:1007.2041 v2 · 2010-07-13 · 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{KO2BR3DT4WMY65Q34H7QVUVEZR}

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	2026-05-18T04:30:26.156692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b418ec73e5998f761be1ff0ad2a4cc6b35f0118fe768804901157d3d5f2996

Aliases

arxiv: 1007.2041 · arxiv_version: 1007.2041v2 · doi: 10.48550/arxiv.1007.2041 · pith_short_12: KO2BR3DT4WMY · pith_short_16: KO2BR3DT4WMY65Q3 · pith_short_8: KO2BR3DT

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/KO2BR3DT4WMY65Q34H7QVUVEZR \
  | 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: 53b418ec73e5998f761be1ff0ad2a4cc6b35f0118fe768804901157d3d5f2996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7278f0fd396ef3b51668987abc44a61a611ca252333fa4a40cd8f5162556e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-13T07:34:28Z",
    "title_canon_sha256": "5281dda91e7a37f0d3357f4a0174a9e3e21b0ad94204fd212e7154b1442dfcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2041",
    "kind": "arxiv",
    "version": 2
  }
}