Pith Number

pith:UVRWIVYG

pith:2015:UVRWIVYGHFYBNNCDH3ABV6JDEZ

not attested not anchored not stored refs pending

Approximation of Invariant Measure for Damped Stochastic Nonlinear Schr\"{o}dinger Equation via an Ergodic Numerical Scheme

Chuchu Chen, Jialin Hong, Xu Wang

arxiv:1509.09148 v2 · 2015-09-30 · 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{UVRWIVYGHFYBNNCDH3ABV6JDEZ}

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	2026-05-18T01:12:55.253194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a563645706397016b4433ec01af92326524816a5547778656c1073d4f49e60c8

Aliases

arxiv: 1509.09148 · arxiv_version: 1509.09148v2 · doi: 10.48550/arxiv.1509.09148 · pith_short_12: UVRWIVYGHFYB · pith_short_16: UVRWIVYGHFYBNNCD · pith_short_8: UVRWIVYG

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/UVRWIVYGHFYBNNCDH3ABV6JDEZ \
  | 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: a563645706397016b4433ec01af92326524816a5547778656c1073d4f49e60c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc38b01b5b84f40d8c3064d6bf7a182087336e636bf0b26541272418ce2a2c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-30T12:27:35Z",
    "title_canon_sha256": "c8c56759d521c07038a99c8a1f32cde7bcbc5fa6972f85e83c2322a8bbb7a13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09148",
    "kind": "arxiv",
    "version": 2
  }
}