Pith Number

pith:WS5HFE34

pith:2011:WS5HFE34OMWPK5LRRTH3BYQXH4

not attested not anchored not stored refs pending

Some Properties of Mannheim Curves in Galilean and Pseudo - Galilean space

Alper Osman \"O\u{g}renm\.i\c{s}, Handan \"Oztek\.in, Mahmut Erg\"ut

arxiv:1111.0424 v1 · 2011-11-02 · 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{WS5HFE34OMWPK5LRRTH3BYQXH4}

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	2026-05-18T04:09:44.979291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ba72937c732cf575718ccfb0e2173f32a15ac36b765719b3bbee5682eb87cb

Aliases

arxiv: 1111.0424 · arxiv_version: 1111.0424v1 · doi: 10.48550/arxiv.1111.0424 · pith_short_12: WS5HFE34OMWP · pith_short_16: WS5HFE34OMWPK5LR · pith_short_8: WS5HFE34

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/WS5HFE34OMWPK5LRRTH3BYQXH4 \
  | 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: b4ba72937c732cf575718ccfb0e2173f32a15ac36b765719b3bbee5682eb87cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce1b9e43fef20a194e9997043a7fb268cd1a43b1cc3b84407fed60ab03d0e4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-02T08:39:38Z",
    "title_canon_sha256": "83f78edaa9b9f376b5c7059dde22adac49ffc88b29a9771d7da647fa57072d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0424",
    "kind": "arxiv",
    "version": 1
  }
}