Pith Number

pith:I4SMD3US

pith:2011:I4SMD3USNOASVWNPD4GWXI4MWA

not attested not anchored not stored refs pending

Existence and instability of standing waves with prescribed norm for a class of Schr\"odinger-Poisson equations

Jacopo Bellazzini, Louis Jeanjean, Tingjian Luo

arxiv:1111.4668 v2 · 2011-11-20 · 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{I4SMD3USNOASVWNPD4GWXI4MWA}

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	2026-05-18T02:58:00.149326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4724c1ee926b812ad9af1f0d6ba38cb026e7e560129bfc35e7099ba3ff75f1b8

Aliases

arxiv: 1111.4668 · arxiv_version: 1111.4668v2 · doi: 10.48550/arxiv.1111.4668 · pith_short_12: I4SMD3USNOAS · pith_short_16: I4SMD3USNOASVWNP · pith_short_8: I4SMD3US

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/I4SMD3USNOASVWNPD4GWXI4MWA \
  | 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: 4724c1ee926b812ad9af1f0d6ba38cb026e7e560129bfc35e7099ba3ff75f1b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1374533ea11b442002b356207aceacd34ae4a0ce255b1ee95befe47a9dc17433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-20T19:31:07Z",
    "title_canon_sha256": "aff4c3952a1f7cc1aa0b5760270d63d8c5f3e09c33670b9b31f1e925ab05df47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4668",
    "kind": "arxiv",
    "version": 2
  }
}