Pith Number

pith:QQE35LLM

pith:2015:QQE35LLMZ7BHLDHP7HS54C4E5Z

not attested not anchored not stored refs pending

Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube

Mario Ullrich, Tino Ullrich, Van Kien Nguyen

arxiv:1511.02036 v1 · 2015-11-06 · math.NA · cs.NA · 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{QQE35LLMZ7BHLDHP7HS54C4E5Z}

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	2026-06-04T17:09:44.309099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8409bead6ccfc2758ceff9e5de0b84ee56085f730f1fcdd35fcf79caa7ccc406

Aliases

arxiv: 1511.02036 · arxiv_version: 1511.02036v1 · doi: 10.48550/arxiv.1511.02036 · pith_short_12: QQE35LLMZ7BH · pith_short_16: QQE35LLMZ7BHLDHP · pith_short_8: QQE35LLM

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/QQE35LLMZ7BHLDHP7HS54C4E5Z \
  | 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: 8409bead6ccfc2758ceff9e5de0b84ee56085f730f1fcdd35fcf79caa7ccc406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2617dc8bcc46601a29497466b8312d169b32a46675c350381864afcd7698b26",
    "cross_cats_sorted": [
      "cs.NA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-06T11:24:00Z",
    "title_canon_sha256": "2a2052046e7f3af0c219f8ecd88b8bfcdefa5c06d07f7b7a836244cbcb1215b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02036",
    "kind": "arxiv",
    "version": 1
  }
}