Pith Number

pith:V5OP7IKC

pith:2020:V5OP7IKCGSECZNNESSNWS6SJZP

not attested not anchored not stored refs pending

Optimal convergence and long-time conservation of exponential integration for Schr\"{o}dinger equations in a normal or highly oscillatory regime

Bin Wang, Yaolin Jiang

arxiv:2007.00592 v3 · 2020-07-01 · 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{V5OP7IKCGSECZNNESSNWS6SJZP}

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	2026-07-05T02:09:11.305545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5cffa14234882cb5a4949b697a49cbfac35c2c04f4b01b063c300183268869

Aliases

arxiv: 2007.00592 · arxiv_version: 2007.00592v3 · doi: 10.48550/arxiv.2007.00592 · pith_short_12: V5OP7IKCGSEC · pith_short_16: V5OP7IKCGSECZNNE · pith_short_8: V5OP7IKC

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/V5OP7IKCGSECZNNESSNWS6SJZP \
  | 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: af5cffa14234882cb5a4949b697a49cbfac35c2c04f4b01b063c300183268869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514a40abca8bd4b5e4381fd613aba73afa08174e71f4e5e04c56483ae79ac26c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-07-01T16:27:41Z",
    "title_canon_sha256": "4fe93b138f9188458804e1cb3d28eb72351b4f1e208f1737c3ff11663c8d930f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00592",
    "kind": "arxiv",
    "version": 3
  }
}