Pith Number

pith:OJGYMT42

pith:2018:OJGYMT42RRLEJSJMR5WYMHKVBT

not attested not anchored not stored refs pending

Parareal exponential $\theta$-scheme for longtime simulation of stochastic Schr\"odinger equations with weak damping

Jialin Hong, Liying Zhang, Xu Wang

arxiv:1803.09188 v1 · 2018-03-25 · math.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{OJGYMT42RRLEJSJMR5WYMHKVBT}

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	2026-05-18T00:20:12.347053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724d864f9a8c5644c92c8f6d861d550cf07341bbc3e338a29dd0d3b22d15d224

Aliases

arxiv: 1803.09188 · arxiv_version: 1803.09188v1 · doi: 10.48550/arxiv.1803.09188 · pith_short_12: OJGYMT42RRLE · pith_short_16: OJGYMT42RRLEJSJM · pith_short_8: OJGYMT42

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/OJGYMT42RRLEJSJMR5WYMHKVBT \
  | 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: 724d864f9a8c5644c92c8f6d861d550cf07341bbc3e338a29dd0d3b22d15d224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758207bd4d9b2c4ea65f7980a02671240f0dec7005b79cfd558697232fca3c0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-25T01:52:08Z",
    "title_canon_sha256": "dff23cba9e5a109f411e329a1edca460fffea885ea397f8445160c291a81f58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09188",
    "kind": "arxiv",
    "version": 1
  }
}