Pith Number

pith:I5PMED6R

pith:2018:I5PMED6RRSM3YLTR4TQS2NKXHP

not attested not anchored not stored refs pending

A Fast Algorithm for Quadrature by Expansion in Three Dimensions

Andreas Kl\"ockner, Matt Wala

arxiv:1805.06106 v4 · 2018-05-16 · 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{I5PMED6RRSM3YLTR4TQS2NKXHP}

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	2026-05-17T23:49:57.277915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475ec20fd18c99bc2e71e4e12d35573be3bb179bf9fe4039aa53cf1983f4cd84

Aliases

arxiv: 1805.06106 · arxiv_version: 1805.06106v4 · doi: 10.48550/arxiv.1805.06106 · pith_short_12: I5PMED6RRSM3 · pith_short_16: I5PMED6RRSM3YLTR · pith_short_8: I5PMED6R

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/I5PMED6RRSM3YLTR4TQS2NKXHP \
  | 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: 475ec20fd18c99bc2e71e4e12d35573be3bb179bf9fe4039aa53cf1983f4cd84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f22356174f3caa9e1ff2dc187b96b3f6ce4e4b420eb6fafea3ea1c7a864a747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-05-16T02:59:20Z",
    "title_canon_sha256": "e67f93a51c5b53a1a0da7c3cb78039488c807783c90b96dacd372875a5fcc1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06106",
    "kind": "arxiv",
    "version": 4
  }
}