Pith Number

pith:CJ6UYHQT

pith:2013:CJ6UYHQTABOZJ2VIZAK7AJEAAC

not attested not anchored not stored refs pending

On almost everywhere convergence of tensor product spline projections

Joscha Prochno, Markus Passenbrunner

arxiv:1310.6505 v5 · 2013-10-24 · 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{CJ6UYHQTABOZJ2VIZAK7AJEAAC}

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	2026-05-18T00:24:35.704787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127d4c1e13005d94eaa8c815f0248000a9881b0eea36e6ce0135bd076f5f1be4

Aliases

arxiv: 1310.6505 · arxiv_version: 1310.6505v5 · doi: 10.48550/arxiv.1310.6505 · pith_short_12: CJ6UYHQTABOZ · pith_short_16: CJ6UYHQTABOZJ2VI · pith_short_8: CJ6UYHQT

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/CJ6UYHQTABOZJ2VIZAK7AJEAAC \
  | 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: 127d4c1e13005d94eaa8c815f0248000a9881b0eea36e6ce0135bd076f5f1be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b7ef8c867cb6d669c5464d7cafa9e26ab879ac759bb6f6b4c09f01fc81de93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-24T07:16:48Z",
    "title_canon_sha256": "da781364a557220f042268724de2f6793875f37ca259e45685cd284fb11ee600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6505",
    "kind": "arxiv",
    "version": 5
  }
}