Pith Number

pith:N7ZA37XT

pith:2018:N7ZA37XTPJFA4KLXF7FSY5TYV7

not attested not anchored not stored refs pending

Sharp error estimates for spline approximation: explicit constants, $n$-widths, and eigenfunction convergence

Carla Manni, Espen Sande, Hendrik Speleers

arxiv:1810.13418 v5 · 2018-10-31 · 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{N7ZA37XTPJFA4KLXF7FSY5TYV7}

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	2026-05-17T23:41:22.037691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff20dfef37a4a0e29772fcb2c7678afd35c9a4c7a8ecd8ededdb8a880a5e5bb

Aliases

arxiv: 1810.13418 · arxiv_version: 1810.13418v5 · doi: 10.48550/arxiv.1810.13418 · pith_short_12: N7ZA37XTPJFA · pith_short_16: N7ZA37XTPJFA4KLX · pith_short_8: N7ZA37XT

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/N7ZA37XTPJFA4KLXF7FSY5TYV7 \
  | 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: 6ff20dfef37a4a0e29772fcb2c7678afd35c9a4c7a8ecd8ededdb8a880a5e5bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca2023df415b55fa64fdea294c12c4f1cb95203ed15120f579244edd3ab64c9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-31T17:24:59Z",
    "title_canon_sha256": "fd1c54becd89fa193ecc0a2173e60450cbeb7c4b1858d240a354897c691845b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13418",
    "kind": "arxiv",
    "version": 5
  }
}