Pith Number

pith:L5ECSNLQ

pith:2019:L5ECSNLQJ3UOKXPAYS2VIURFCX

not attested not anchored not stored refs pending

On the Schr\"{o}dinger-Poisson system with indefinite potential and $3$-sublinear nonlinearity

Shibo Liu, Sunra J. N. Mosconi

arxiv:1905.11120 v1 · 2019-05-27 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5ECSNLQJ3UOKXPAYS2VIURFCX}

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	2026-05-17T23:45:02.857988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f482935704ee8e55de0c4b554522515df70ea0d7a9d31879f602563db9d17d0

Aliases

arxiv: 1905.11120 · arxiv_version: 1905.11120v1 · doi: 10.48550/arxiv.1905.11120 · pith_short_12: L5ECSNLQJ3UO · pith_short_16: L5ECSNLQJ3UOKXPA · pith_short_8: L5ECSNLQ

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/L5ECSNLQJ3UOKXPAYS2VIURFCX \
  | 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: 5f482935704ee8e55de0c4b554522515df70ea0d7a9d31879f602563db9d17d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48fc469d8a0eff661107308bd68788860a9a149c7094808e6fa3a3b1ba8ac4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-27T11:05:59Z",
    "title_canon_sha256": "631f7a85d7d6bb701046255fafcdefbcf854eb5ad9295fcb4c2cb90fdb40fcb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11120",
    "kind": "arxiv",
    "version": 1
  }
}