Pith Number

pith:VGFRYUJM

pith:2014:VGFRYUJMDRAUMZNDK6HE34XIMQ

not attested not anchored not stored refs pending

Efficient merging of multiple segments of B\'ezier curves

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

arxiv:1409.2671 v3 · 2014-09-09 · math.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{VGFRYUJMDRAUMZNDK6HE34XIMQ}

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	2026-05-18T01:09:49.703929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98b1c512c1c414665a3578e4df2e8640fcc2c89919249a19a072f23ffcaa193

Aliases

arxiv: 1409.2671 · arxiv_version: 1409.2671v3 · doi: 10.48550/arxiv.1409.2671 · pith_short_12: VGFRYUJMDRAU · pith_short_16: VGFRYUJMDRAUMZND · pith_short_8: VGFRYUJM

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/VGFRYUJMDRAUMZNDK6HE34XIMQ \
  | 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: a98b1c512c1c414665a3578e4df2e8640fcc2c89919249a19a072f23ffcaa193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3847ad3b6ce187d71227937c44e44eb3f1f430d88e6365860fd59b02c405f99c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-09-09T10:36:21Z",
    "title_canon_sha256": "bdbc972532601eb827ff7687f199cc5fe1aa4817b5d5dd0233cf20e28b28c282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2671",
    "kind": "arxiv",
    "version": 3
  }
}