Pith Number

pith:S4P4EHE2

pith:2008:S4P4EHE2LU454FHZ2RSB4KC4ZO

not attested not anchored not stored refs pending

Fast Directional Computation for the High Frequency Helmholtz Kernel in Two Dimensions

Bj\"orn Engquist, Lexing Ying

arxiv:0802.4115 v1 · 2008-02-28 · math.NA · cs.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{S4P4EHE2LU454FHZ2RSB4KC4ZO}

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	2026-06-03T22:06:04.692382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971fc21c9a5d39de14f9d4641e285ccba0a7deb9dca171140071cd3beb76f306

Aliases

arxiv: 0802.4115 · arxiv_version: 0802.4115v1 · doi: 10.48550/arxiv.0802.4115 · pith_short_12: S4P4EHE2LU45 · pith_short_16: S4P4EHE2LU454FHZ · pith_short_8: S4P4EHE2

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/S4P4EHE2LU454FHZ2RSB4KC4ZO \
  | 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: 971fc21c9a5d39de14f9d4641e285ccba0a7deb9dca171140071cd3beb76f306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6dc850ff06817266e435fe66f6ae58d5fde6b00d757e80f8c1c73a2b1c1992b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-02-28T00:30:38Z",
    "title_canon_sha256": "71ebdbf950e77b7ad3b34219f6e16ee726adc9604a32dfde53f1990615aa9435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4115",
    "kind": "arxiv",
    "version": 1
  }
}