Pith Number

pith:XIQCG7EF

pith:2026:XIQCG7EFBQQDIW3SPYF57BQLRQ

not attested not anchored not stored refs pending

On the completeness of generalized hierarchical spline spaces

Ahmed Oufqir, Carla Manni, Hendrik Speleers

arxiv:2606.12656 v1 · 2026-06-10 · 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{XIQCG7EFBQQDIW3SPYF57BQLRQ}

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	2026-06-12T01:08:42.975366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba20237c850c20345b727e0bdf860b8c1e913bdea77af76df6a6a181ec05b39a

Aliases

arxiv: 2606.12656 · arxiv_version: 2606.12656v1 · doi: 10.48550/arxiv.2606.12656 · pith_short_12: XIQCG7EFBQQD · pith_short_16: XIQCG7EFBQQDIW3S · pith_short_8: XIQCG7EF

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/XIQCG7EFBQQDIW3SPYF57BQLRQ \
  | 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: ba20237c850c20345b727e0bdf860b8c1e913bdea77af76df6a6a181ec05b39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d737a201e2457831611a479bb9c8dee57c2ff095f47867ec499dd4f3adfdbc2b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-10T20:30:26Z",
    "title_canon_sha256": "e03cbffa72630033f8951a2148f238e27119e290d4c454fa0c3c3f285c7cde80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12656",
    "kind": "arxiv",
    "version": 1
  }
}