pith. sign in
Pith Number

pith:FXKSGBU4

pith:2016:FXKSGBU42AXMX7QJ2FTLP2E3AM
not attested not anchored not stored refs pending

A basis for the implicit representation of planar rational cubic B\'ezier curves

Oliver J. D. Barrowclough

arxiv:1605.08669 v1 · 2016-05-27 · math.NA · cs.CG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FXKSGBU42AXMX7QJ2FTLP2E3AM}

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 2026-05-18T01:13:29.380560Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2dd523069cd02ecbfe09d166b7e89b031396c370afaf27424c005af15fda1591

Aliases

arxiv: 1605.08669 · arxiv_version: 1605.08669v1 · doi: 10.48550/arxiv.1605.08669 · pith_short_12: FXKSGBU42AXM · pith_short_16: FXKSGBU42AXMX7QJ · pith_short_8: FXKSGBU4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FXKSGBU42AXMX7QJ2FTLP2E3AM \
  | 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: 2dd523069cd02ecbfe09d166b7e89b031396c370afaf27424c005af15fda1591
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cc057858082780b4d1214ef4ae60f1c1242828b72e3db345c06a6ff19a5ccbc5",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-27T14:34:25Z",
    "title_canon_sha256": "f89dd3086684806ca8005d29a378ebf3184aab241a76fb102995aee3f9718453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08669",
    "kind": "arxiv",
    "version": 1
  }
}