Pith Number

pith:2OTHBU7C

pith:2019:2OTHBU7CFPJQZIFYIBSJ56B3QB

not attested not anchored not stored refs pending

The stochastic nonlinear Schr\"odinger equation in unbounded domains and manifolds

Fabian Hornung

arxiv:1906.08638 v1 · 2019-06-20 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OTHBU7CFPJQZIFYIBSJ56B3QB}

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	2026-05-17T23:42:50.019099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a670d3e22bd30ca0b840649ef83b806cedaff1ab650d3250be91450928c1fe

Aliases

arxiv: 1906.08638 · arxiv_version: 1906.08638v1 · doi: 10.48550/arxiv.1906.08638 · pith_short_12: 2OTHBU7CFPJQ · pith_short_16: 2OTHBU7CFPJQZIFY · pith_short_8: 2OTHBU7C

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/2OTHBU7CFPJQZIFYIBSJ56B3QB \
  | 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: d3a670d3e22bd30ca0b840649ef83b806cedaff1ab650d3250be91450928c1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663164b8f36cd420230a1d1bc43996113b75b8f910e05d76ef5adfae8785d88b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-20T14:09:38Z",
    "title_canon_sha256": "deca26f64c97ae9f17f11f0e64f4326db5fbcf1a47f407629aef5f7d51b263d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08638",
    "kind": "arxiv",
    "version": 1
  }
}