Pith Number

pith:EILRGWPV

pith:2014:EILRGWPV6BHOM6TN5VP4OONJHW

not attested not anchored not stored refs pending

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in $H^\gamma$

Dinh D\~ung, Glenn Byrenheid, Tino Ullrich, Winfried Sickel

arxiv:1408.3498 v1 · 2014-08-15 · 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{EILRGWPV6BHOM6TN5VP4OONJHW}

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	2026-05-18T02:45:05.729250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22171359f5f04ee67a6ded5fc739a93da3adcc0953b31d3dbade2186591b66cf

Aliases

arxiv: 1408.3498 · arxiv_version: 1408.3498v1 · doi: 10.48550/arxiv.1408.3498 · pith_short_12: EILRGWPV6BHO · pith_short_16: EILRGWPV6BHOM6TN · pith_short_8: EILRGWPV

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/EILRGWPV6BHOM6TN5VP4OONJHW \
  | 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: 22171359f5f04ee67a6ded5fc739a93da3adcc0953b31d3dbade2186591b66cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8ec198cc8893b9a6a4b0f6620729a76e83857e6030a802423a9abf220e848c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-08-15T09:02:52Z",
    "title_canon_sha256": "c02fa4f55364563d208ec5aa0623dc3df3c4a1499bb3929ee1d261070e6371b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3498",
    "kind": "arxiv",
    "version": 1
  }
}