Pith Number

pith:DOG5YLOP

pith:2015:DOG5YLOPOX5VS2QFC5H6EGAN5O

not attested not anchored not stored refs pending

Efficient degree reduction of B\'ezier curves with box constraints using dual bases

Pawe{\l} Wo\'zny, Przemys{\l}aw Gospodarczyk

arxiv:1511.08264 v2 · 2015-11-24 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOG5YLOPOX5VS2QFC5H6EGAN5O}

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	2026-05-18T00:55:28.653021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8ddc2dcf75fb596a05174fe2180debac922cdba6c1186e3ec629cdbb9ced21

Aliases

arxiv: 1511.08264 · arxiv_version: 1511.08264v2 · doi: 10.48550/arxiv.1511.08264 · pith_short_12: DOG5YLOPOX5V · pith_short_16: DOG5YLOPOX5VS2QF · pith_short_8: DOG5YLOP

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/DOG5YLOPOX5VS2QFC5H6EGAN5O \
  | 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: 1b8ddc2dcf75fb596a05174fe2180debac922cdba6c1186e3ec629cdbb9ced21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbb3ee0be99942022e244318d04824a0b53748f9f2a1cb0ce3bbdaa090bb6ae",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-24T17:20:23Z",
    "title_canon_sha256": "93385138c5d832cb4740a7f4d8db28f0d99c54db22ad85c2974a8a5debb43cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08264",
    "kind": "arxiv",
    "version": 2
  }
}