Pith Number

pith:MWMUPRH7

pith:2013:MWMUPRH7Y3F34UIE6FZBCTWH3O

not attested not anchored not stored refs pending

On nonlinear Schr\"odinger equations with random potentials: existence and probabilistic properties

Leandro Cioletti, Lucas C. F. Ferreira, Marcelo Furtado

arxiv:1304.2449 v1 · 2013-04-09 · 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{MWMUPRH7Y3F34UIE6FZBCTWH3O}

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	2026-05-18T03:28:32.001987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659947c4ffc6cbbe5104f172114ec7dbbaf8272eeeb5ce5bd138c9cab63deecd

Aliases

arxiv: 1304.2449 · arxiv_version: 1304.2449v1 · doi: 10.48550/arxiv.1304.2449 · pith_short_12: MWMUPRH7Y3F3 · pith_short_16: MWMUPRH7Y3F34UIE · pith_short_8: MWMUPRH7

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/MWMUPRH7Y3F34UIE6FZBCTWH3O \
  | 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: 659947c4ffc6cbbe5104f172114ec7dbbaf8272eeeb5ce5bd138c9cab63deecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f1620a23c6974836aecd0ee43345d708f7b37da85f4cfc89f4a4b1f50a2486",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-09T02:32:15Z",
    "title_canon_sha256": "a56036267276bd9b4f69e8c393a48fc0ba8f1e3f96fe2bcbfe920c2940cde730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2449",
    "kind": "arxiv",
    "version": 1
  }
}