Pith Number

pith:BKCZZHGY

pith:2011:BKCZZHGYOQQVBQXXH3DDBQHL27

not attested not anchored not stored refs pending

Some Characterizations of Mannheim Partner Curves in Minkowski 3-space

H. H\"useyin U\u{g}urlu, Mehmet \"Onder, Mustafa Kazaz, Tanju Kahraman

arxiv:1108.4570 v1 · 2011-08-23 · 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{BKCZZHGYOQQVBQXXH3DDBQHL27}

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	2026-05-18T04:14:54.236255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a859c9cd8742150c2f73ec630c0ebd7f8f323013c1221a53d736ddc98b086b5

Aliases

arxiv: 1108.4570 · arxiv_version: 1108.4570v1 · doi: 10.48550/arxiv.1108.4570 · pith_short_12: BKCZZHGYOQQV · pith_short_16: BKCZZHGYOQQVBQXX · pith_short_8: BKCZZHGY

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/BKCZZHGYOQQVBQXXH3DDBQHL27 \
  | 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: 0a859c9cd8742150c2f73ec630c0ebd7f8f323013c1221a53d736ddc98b086b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fcf22dc9a0222d8c362a368c78ee13f9de63e99fb5b6f93cd62781a1e85b81e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-23T12:39:08Z",
    "title_canon_sha256": "cf1433aff84ee67f058786dd9549f3ecfcba6102ae10d35ce07e6ca52d5f707f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4570",
    "kind": "arxiv",
    "version": 1
  }
}