Pith Number

pith:NDY6ZBE3

pith:2011:NDY6ZBE3WMBDIPFA6MY4YAA4VC

not attested not anchored not stored refs pending

Numerical solutions of the symmetric regularized-long-wave equation by trigonometric integrator pseudospectral discretization

Xuanchun Dong

arxiv:1109.0764 v2 · 2011-09-04 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDY6ZBE3WMBDIPFA6MY4YAA4VC}

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	2026-05-18T03:15:34.646575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f1ec849bb302343ca0f331cc001ca8b264ea62c7de297649c9c06bc748fb20

Aliases

arxiv: 1109.0764 · arxiv_version: 1109.0764v2 · doi: 10.48550/arxiv.1109.0764 · pith_short_12: NDY6ZBE3WMBD · pith_short_16: NDY6ZBE3WMBDIPFA · pith_short_8: NDY6ZBE3

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/NDY6ZBE3WMBDIPFA6MY4YAA4VC \
  | 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: 68f1ec849bb302343ca0f331cc001ca8b264ea62c7de297649c9c06bc748fb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e77950baf605f71c51c18d79983af82232a5f3bf82a924b656775e97d42b7d3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-04T23:04:12Z",
    "title_canon_sha256": "2dbf554e190a4c65b98db5d7e24ce3036fb9300c272ab5a91ca8501d5b94821e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0764",
    "kind": "arxiv",
    "version": 2
  }
}