Pith Number

pith:MS7S76HT

pith:2012:MS7S76HTFPBGCA7KVM4VH77NUW

not attested not anchored not stored refs pending

Sampling and cubature on sparse grids based on a B-spline quasi-interpolation

Dinh D\~ung

arxiv:1211.4319 v6 · 2012-11-19 · math.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{MS7S76HTFPBGCA7KVM4VH77NUW}

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	2026-05-18T01:27:37.235097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64bf2ff8f32bc26103eaab3953ffeda592429df53c9b65e83e21d93a6032e302

Aliases

arxiv: 1211.4319 · arxiv_version: 1211.4319v6 · doi: 10.48550/arxiv.1211.4319 · pith_short_12: MS7S76HTFPBG · pith_short_16: MS7S76HTFPBGCA7K · pith_short_8: MS7S76HT

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/MS7S76HTFPBGCA7KVM4VH77NUW \
  | 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: 64bf2ff8f32bc26103eaab3953ffeda592429df53c9b65e83e21d93a6032e302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f672343978bbcd1e16decbeec251d65c04e3e6eecd7892150bf039ef0f24c15e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-19T07:24:03Z",
    "title_canon_sha256": "d47ccf2c113eb1990b6f68ffb4f5cf98df5766d0f23934483e9af49a963cc8c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4319",
    "kind": "arxiv",
    "version": 6
  }
}