pith. sign in
Pith Number

pith:LBXVFJYP

pith:2013:LBXVFJYPH3QCUMUFSBGT2CHDBD
not attested not anchored not stored refs pending

Modified trigonometric integrators

Ari Stern, Robert I. McLachlan

arxiv:1305.3216 v2 · 2013-05-14 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LBXVFJYPH3QCUMUFSBGT2CHDBD}

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 2026-05-18T02:47:24.413104Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

586f52a70f3ee02a3285904d3d08e308cdff5c45dc0f26c55991c95c2324ca6c

Aliases

arxiv: 1305.3216 · arxiv_version: 1305.3216v2 · doi: 10.48550/arxiv.1305.3216 · pith_short_12: LBXVFJYPH3QC · pith_short_16: LBXVFJYPH3QCUMUF · pith_short_8: LBXVFJYP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LBXVFJYPH3QCUMUFSBGT2CHDBD \
  | 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: 586f52a70f3ee02a3285904d3d08e308cdff5c45dc0f26c55991c95c2324ca6c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5654098defaca37232186ca01f9dc49d2e8a43796ea8eeb5ab3846d6fccbca0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-05-14T17:24:16Z",
    "title_canon_sha256": "2ba9d1f79a8e3b20270d969e38dd9077552564533594dab5fe075d9076697e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3216",
    "kind": "arxiv",
    "version": 2
  }
}