Pith Number

pith:XKXBO52H

pith:2018:XKXBO52HHIJRYXHXLGAG52BZWC

not attested not anchored not stored refs pending

Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices

Lutz K\"ammerer, Toni Volkmer

arxiv:1802.06639 v2 · 2018-02-19 · 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{XKXBO52HHIJRYXHXLGAG52BZWC}

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	2026-05-17T23:46:30.779778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baae1777473a131c5cf759806ee839b0b34b82130bdbfe423ca457dcee30a097

Aliases

arxiv: 1802.06639 · arxiv_version: 1802.06639v2 · doi: 10.48550/arxiv.1802.06639 · pith_short_12: XKXBO52HHIJR · pith_short_16: XKXBO52HHIJRYXHX · pith_short_8: XKXBO52H

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/XKXBO52HHIJRYXHXLGAG52BZWC \
  | 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: baae1777473a131c5cf759806ee839b0b34b82130bdbfe423ca457dcee30a097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c481f06319aae64bdb5147a181e8f4a1075cb1dde5ae61d9d1bc15d58a6bd6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-02-19T14:18:47Z",
    "title_canon_sha256": "7a91f0dd39ba7d6de2cb2406582b866c303161e0199de8e217d687ccbd2f4523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06639",
    "kind": "arxiv",
    "version": 2
  }
}