Pith Number

pith:5LE7DAAN

pith:2018:5LE7DAANG2ZZ7K6HIE2YY27S6K

not attested not anchored not stored refs pending

A variational model for data fitting on manifolds by minimizing the acceleration of a B\'ezier curve

Pierre-Yves Gousenbourger, Ronny Bergmann

arxiv:1807.10090 v1 · 2018-07-26 · math.NA · 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{5LE7DAANG2ZZ7K6HIE2YY27S6K}

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	2026-05-17T23:58:52.578925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac9f1800d36b39fabc741358c6bf2f2bf93c0777fccec10e95539b1451240b5

Aliases

arxiv: 1807.10090 · arxiv_version: 1807.10090v1 · doi: 10.48550/arxiv.1807.10090 · pith_short_12: 5LE7DAANG2ZZ · pith_short_16: 5LE7DAANG2ZZ7K6H · pith_short_8: 5LE7DAAN

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/5LE7DAANG2ZZ7K6HIE2YY27S6K \
  | 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: eac9f1800d36b39fabc741358c6bf2f2bf93c0777fccec10e95539b1451240b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "314497f50db3e071efd64be2872d0d72c371e009e6810d184ab88e0d6932823a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-26T12:23:29Z",
    "title_canon_sha256": "c1eebe1f63becaf8f8af29f424a5f4f67a43cb38239e9f046d5e01f1163de1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10090",
    "kind": "arxiv",
    "version": 1
  }
}