pith. sign in
Pith Number

pith:BYTGN3C4

pith:2008:BYTGN3C43EWFUDI77H4WERCHJF
not attested not anchored not stored refs pending

Multi-product splitting and Runge-Kutta-Nystrom integrators

Siu A. Chin

arxiv:0809.0914 v2 · 2008-09-04 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BYTGN3C43EWFUDI77H4WERCHJF}

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 2026-06-03T22:06:09.647649Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0e2666ec5cd92c5a0d1ff9f9624447495e8ae3b2c606fd0b106def0547ae0ebc

Aliases

arxiv: 0809.0914 · arxiv_version: 0809.0914v2 · doi: 10.48550/arxiv.0809.0914 · pith_short_12: BYTGN3C43EWF · pith_short_16: BYTGN3C43EWFUDI7 · pith_short_8: BYTGN3C4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BYTGN3C43EWFUDI77H4WERCHJF \
  | 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: 0e2666ec5cd92c5a0d1ff9f9624447495e8ae3b2c606fd0b106def0547ae0ebc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "295c4b9956b16b20ec1987c20334c8e30f49422e750255e2d9fed5a3becf534b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-09-04T21:10:09Z",
    "title_canon_sha256": "8b638d1a748ff6493b8ff04796fa071ffea080987c43ae4ac04a38c8b6b4bf4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0914",
    "kind": "arxiv",
    "version": 2
  }
}