Pith Number

pith:63EJ3BQI

pith:2016:63EJ3BQIE7NNQVKIRQ4RIMS3KN

not attested not anchored not stored refs pending

Quasi Monte Carlo integration and kernel-based function approximation on Grassmannians

Anna Breger, Manuel Graef, Martin Ehler

arxiv:1605.09165 v2 · 2016-05-30 · 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{63EJ3BQIE7NNQVKIRQ4RIMS3KN}

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	2026-05-18T00:36:14.466985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c89d860827dad855488c3914325b536f6a809106f61167a09bacd52f3399b5

Aliases

arxiv: 1605.09165 · arxiv_version: 1605.09165v2 · doi: 10.48550/arxiv.1605.09165 · pith_short_12: 63EJ3BQIE7NN · pith_short_16: 63EJ3BQIE7NNQVKI · pith_short_8: 63EJ3BQI

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/63EJ3BQIE7NNQVKIRQ4RIMS3KN \
  | 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: f6c89d860827dad855488c3914325b536f6a809106f61167a09bacd52f3399b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf00b24fbe879a6f48f25e6ddf66e4a6c363306503e500ab06e1e862e401765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-30T10:38:19Z",
    "title_canon_sha256": "8f022be7b2864cb78a48ca5c9bdb17c49565f1ac771ce2ac20282dd310b16a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09165",
    "kind": "arxiv",
    "version": 2
  }
}