Pith Number

pith:ZASF2RFY

pith:2014:ZASF2RFY7PLXIDXBM6IVGWLGND

not attested not anchored not stored refs pending

Characterization theorem for best polynomial spline approximation with free knots

Julien Ugon, Nadezda Sukhorukova

arxiv:1412.2323 v1 · 2014-12-07 · math.OC · cs.NA · 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{ZASF2RFY7PLXIDXBM6IVGWLGND}

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	2026-06-04T16:08:58.725952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8245d44b8fbd7740ee1679153596668f34b37f4c4ed4bb0df3a6f4525bf1eba

Aliases

arxiv: 1412.2323 · arxiv_version: 1412.2323v1 · doi: 10.48550/arxiv.1412.2323 · pith_short_12: ZASF2RFY7PLX · pith_short_16: ZASF2RFY7PLXIDXB · pith_short_8: ZASF2RFY

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/ZASF2RFY7PLXIDXBM6IVGWLGND \
  | 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: c8245d44b8fbd7740ee1679153596668f34b37f4c4ed4bb0df3a6f4525bf1eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1006bc65be7edcb1bfe2a8ee076c0c0d6fd708d934f6077dba043891354d194",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-07T06:52:03Z",
    "title_canon_sha256": "1af66cfbce7690cbb7e00f3c159a1b0ab36bf6eeb2b387215c37191b22d58404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2323",
    "kind": "arxiv",
    "version": 1
  }
}