Pith Number

pith:UQNWL2LK

pith:2025:UQNWL2LKZIB72V5K3BDNTQNXD4

not attested not anchored not stored refs pending

Dimension of Bi-degree $(d,d)$ Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes

Bingru Huang, Falai Chen

arxiv:2507.11047 v2 · 2025-07-15 · math.NA · cs.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{UQNWL2LKZIB72V5K3BDNTQNXD4}

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	2026-05-17T23:39:17.824188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41b65e96aca03fd57aad846d9c1b71f18e53fb6d94b157f763a06dbd17b7c9c

Aliases

arxiv: 2507.11047 · arxiv_version: 2507.11047v2 · doi: 10.48550/arxiv.2507.11047 · pith_short_12: UQNWL2LKZIB7 · pith_short_16: UQNWL2LKZIB72V5K · pith_short_8: UQNWL2LK

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/UQNWL2LKZIB72V5K3BDNTQNXD4 \
  | 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: a41b65e96aca03fd57aad846d9c1b71f18e53fb6d94b157f763a06dbd17b7c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5399ada5863eed08334c4bf66f8c00d47933194811ce5c8cf1da68f93b0267",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-15T07:20:34Z",
    "title_canon_sha256": "e230e482a12c6d25e06d2f11964c568a97ae8655f1fc70b86bf23f667d80289e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11047",
    "kind": "arxiv",
    "version": 2
  }
}