Pith Number

pith:VD26LJGS

pith:2016:VD26LJGS4U5JXFSUMHKKXZYYKR

not attested not anchored not stored refs pending

Fractional Schrodinger-Poisson Equations With General Nonlinearities

Marco A. S. Souto, Ronaldo C. Duarte

arxiv:1610.06623 v2 · 2016-10-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD26LJGS4U5JXFSUMHKKXZYYKR}

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	2026-05-18T00:54:59.820300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f5e5a4d2e53a9b965461d4abe71854657720ea73c6f4c9a6592eb512bee066

Aliases

arxiv: 1610.06623 · arxiv_version: 1610.06623v2 · doi: 10.48550/arxiv.1610.06623 · pith_short_12: VD26LJGS4U5J · pith_short_16: VD26LJGS4U5JXFSU · pith_short_8: VD26LJGS

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/VD26LJGS4U5JXFSUMHKKXZYYKR \
  | 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: a8f5e5a4d2e53a9b965461d4abe71854657720ea73c6f4c9a6592eb512bee066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da999c289c476b14a95792177161919be66de9f38fdbbbb43e13e99a6c0e4cf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-20T22:40:00Z",
    "title_canon_sha256": "b71776075c12a91d55ae2a38905b595f1379c6bed369451b7f5ad4719a42ac55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06623",
    "kind": "arxiv",
    "version": 2
  }
}