Pith Number

pith:7UOTWCUF

pith:2025:7UOTWCUFSNNYPWWGV2LVXL3SNS

not attested not anchored not stored refs pending

Quasi-Monte Carlo time-splitting methods for the Schr\"odinger equation with Gaussian random potential

Xiaofei Zhao, Zhiwen Zhang, Zhizhang Wu

arxiv:2511.06236 v2 · 2025-11-09 · 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{7UOTWCUFSNNYPWWGV2LVXL3SNS}

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	2026-07-02T01:18:05.205648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1d3b0a85935b87dac6ae975baf726cac176cce2ce512c8715a644eb4d82b2d

Aliases

arxiv: 2511.06236 · arxiv_version: 2511.06236v2 · doi: 10.48550/arxiv.2511.06236 · pith_short_12: 7UOTWCUFSNNY · pith_short_16: 7UOTWCUFSNNYPWWG · pith_short_8: 7UOTWCUF

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/7UOTWCUFSNNYPWWGV2LVXL3SNS \
  | 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: fd1d3b0a85935b87dac6ae975baf726cac176cce2ce512c8715a644eb4d82b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755c7576788a8f729f3f27dd9d619cd8e67ec74d3b37c8686b9142cf262c84d0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-11-09T05:36:45Z",
    "title_canon_sha256": "b3e9aaa404dc0f029e9c3847602926fbe6404683ec9c3c9f839e418a026381d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06236",
    "kind": "arxiv",
    "version": 2
  }
}