Pith Number

pith:N7H6PX4G

pith:2012:N7H6PX4GEDTPOQLPISWXBGF43C

not attested not anchored not stored refs pending

Approximating rational Bezier curves by constrained Bezier curves of arbitrary degree

Jiansong Deng, Mao Shi

arxiv:1212.3385 v4 · 2012-12-14 · math.NA · cs.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7H6PX4GEDTPOQLPISWXBGF43C}

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	2026-05-18T02:42:54.220545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcfe7df8620e6f7416f44ad7098bcd8bfe039f89ee7ba41ac7e06123d2ebdd8

Aliases

arxiv: 1212.3385 · arxiv_version: 1212.3385v4 · doi: 10.48550/arxiv.1212.3385 · pith_short_12: N7H6PX4GEDTP · pith_short_16: N7H6PX4GEDTPOQLP · pith_short_8: N7H6PX4G

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/N7H6PX4GEDTPOQLPISWXBGF43C \
  | 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: 6fcfe7df8620e6f7416f44ad7098bcd8bfe039f89ee7ba41ac7e06123d2ebdd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87e2f818c3e52dcd8da4147b1793b58fa50e3671f039a6d3c0bf90774de7d83",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-14T02:56:30Z",
    "title_canon_sha256": "cd251a359ee9fa0a9090d4155b508c82819e8183ead728f51a1f401468ca1af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3385",
    "kind": "arxiv",
    "version": 4
  }
}