Pith Number

pith:6W4R3R3V

pith:2024:6W4R3R3VU3BNQXUT456M2FOTYW

not attested not anchored not stored refs pending

Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schr\"odinger equation

Li-Lian Wang, XiaoLong Zhang

arxiv:2401.02288 v1 · 2024-01-04 · 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{6W4R3R3VU3BNQXUT456M2FOTYW}

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	2026-07-05T07:30:14.485189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b91dc775a6c2d85e93e77ccd15d3c59f4a094940690cb84bc5e4a3c47709d3

Aliases

arxiv: 2401.02288 · arxiv_version: 2401.02288v1 · doi: 10.48550/arxiv.2401.02288 · pith_short_12: 6W4R3R3VU3BN · pith_short_16: 6W4R3R3VU3BNQXUT · pith_short_8: 6W4R3R3V

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/6W4R3R3VU3BNQXUT456M2FOTYW \
  | 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: f5b91dc775a6c2d85e93e77ccd15d3c59f4a094940690cb84bc5e4a3c47709d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164737cd7da62b403b65b6cad7d1e4bdb305df9f5b73d9d7a54f3950d7270edc",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-01-04T14:13:27Z",
    "title_canon_sha256": "b4da3a5f1a87e40d693a35747e93802c7c99d35415c8432cd8d356e69e80dd37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02288",
    "kind": "arxiv",
    "version": 1
  }
}