Pith Number

pith:MSVSDYP4

pith:2018:MSVSDYP4CZM2PQRRXIFDBHPBRW

not attested not anchored not stored refs pending

Alternance Theorems and Chebyshev Splines Approximation

Jean-Pierre Crouzeix, Julien Ugon, Nadezda Sukhorukova

arxiv:1801.06930 v1 · 2018-01-22 · 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{MSVSDYP4CZM2PQRRXIFDBHPBRW}

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	2026-05-18T00:25:22.771069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ab21e1fc1659a7c231ba0a309de18d85fb449270a5ff8ff844798e936a4571

Aliases

arxiv: 1801.06930 · arxiv_version: 1801.06930v1 · doi: 10.48550/arxiv.1801.06930 · pith_short_12: MSVSDYP4CZM2 · pith_short_16: MSVSDYP4CZM2PQRR · pith_short_8: MSVSDYP4

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/MSVSDYP4CZM2PQRRXIFDBHPBRW \
  | 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: 64ab21e1fc1659a7c231ba0a309de18d85fb449270a5ff8ff844798e936a4571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2804f96bbefa099a55eec0d47fcb03b53a9ed95830e295c73c61c5206a4d7d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-01-22T01:23:05Z",
    "title_canon_sha256": "36426e46367b396e1d2e1ba2d3b16f0c7c9c92f6c14246c5b4d577872e0ed46b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06930",
    "kind": "arxiv",
    "version": 1
  }
}