Pith Number

pith:XG3GCZGO

pith:2016:XG3GCZGOIJBEDHFHIORKVPLRXN

not attested not anchored not stored refs pending

B-spline quasi-interpolation sampling representation and sampling recovery in Sobolev spaces of mixed smoothness

Dinh D\~ung

arxiv:1603.01937 v4 · 2016-03-07 · 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{XG3GCZGOIJBEDHFHIORKVPLRXN}

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	2026-05-18T00:56:31.252050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b66164ce4242419ca743a2aabd71bb61c2df654772be5672b9e16ecc4b2ba2

Aliases

arxiv: 1603.01937 · arxiv_version: 1603.01937v4 · doi: 10.48550/arxiv.1603.01937 · pith_short_12: XG3GCZGOIJBE · pith_short_16: XG3GCZGOIJBEDHFH · pith_short_8: XG3GCZGO

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/XG3GCZGOIJBEDHFHIORKVPLRXN \
  | 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: b9b66164ce4242419ca743a2aabd71bb61c2df654772be5672b9e16ecc4b2ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c845a1810a2013a58d070d94a91bac0958e183ec556c2a46d1e03a2b2a7bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-07T05:05:10Z",
    "title_canon_sha256": "d54e615cd6c22d06c16f23981fac84f71d5dd6a89f816cfb009fe3715109dbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01937",
    "kind": "arxiv",
    "version": 4
  }
}