Pith Number

pith:FNAXTKBY

pith:2010:FNAXTKBYIPJOLU57ADAQ2BPXQD

not attested not anchored not stored refs pending

B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness

Dinh D\~ung

arxiv:1009.4389 v1 · 2010-09-22 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNAXTKBYIPJOLU57ADAQ2BPXQD}

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	2026-05-18T04:40:33.233847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4179a83843d2e5d3bf00c10d05f780dde8c08b95cc0b16791f67202f923340

Aliases

arxiv: 1009.4389 · arxiv_version: 1009.4389v1 · doi: 10.48550/arxiv.1009.4389 · pith_short_12: FNAXTKBYIPJO · pith_short_16: FNAXTKBYIPJOLU57 · pith_short_8: FNAXTKBY

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/FNAXTKBYIPJOLU57ADAQ2BPXQD \
  | 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: 2b4179a83843d2e5d3bf00c10d05f780dde8c08b95cc0b16791f67202f923340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a93ff8080ab61c374c5d199a59580f283fce08fa6caf58c3f6e76cb157ec51a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-22T15:29:00Z",
    "title_canon_sha256": "9c4fdafbec558aca8f33eebf4c78db0806b11ec92a3ba4d5587d38e9afc0358a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4389",
    "kind": "arxiv",
    "version": 1
  }
}