Pith Number

pith:CTBEJ4GV

pith:2012:CTBEJ4GVYY2K4HQ2IDFNH4ZYW4

not attested not anchored not stored refs pending

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

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

arxiv:1201.6148 v2 · 2012-01-30 · 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{CTBEJ4GVYY2K4HQ2IDFNH4ZYW4}

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	2026-05-18T03:28:42.978399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c244f0d5c634ae1e1a40cad3f338b70851774f7da5e94fd530906834aa1eae

Aliases

arxiv: 1201.6148 · arxiv_version: 1201.6148v2 · doi: 10.48550/arxiv.1201.6148 · pith_short_12: CTBEJ4GVYY2K · pith_short_16: CTBEJ4GVYY2K4HQ2 · pith_short_8: CTBEJ4GV

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/CTBEJ4GVYY2K4HQ2IDFNH4ZYW4 \
  | 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: 14c244f0d5c634ae1e1a40cad3f338b70851774f7da5e94fd530906834aa1eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f173010b0731cd9ff530d232fa341e600152bc50bbbfbc3d33974d5b9913d2f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-30T10:00:51Z",
    "title_canon_sha256": "b95102ec1adf7a6e40338a76a76c67628852ecb91514dfb3d039d59a668f2c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6148",
    "kind": "arxiv",
    "version": 2
  }
}