Pith Number

pith:MSJJWZEL

pith:2012:MSJJWZEL3KUCUEVMEYNBNSV6GL

not attested not anchored not stored refs pending

Non-radial sign-changing solutions for the Schroedinger-Poisson problem in the semiclassical limit

Giusi Vaira, Isabella Ianni

arxiv:1210.0728 v2 · 2012-10-02 · 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{MSJJWZEL3KUCUEVMEYNBNSV6GL}

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	2026-05-18T01:22:49.192262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64929b648bdaa82a12ac261a16cabe32cb536761cb03720208bceca43933a6fb

Aliases

arxiv: 1210.0728 · arxiv_version: 1210.0728v2 · doi: 10.48550/arxiv.1210.0728 · pith_short_12: MSJJWZEL3KUC · pith_short_16: MSJJWZEL3KUCUEVM · pith_short_8: MSJJWZEL

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/MSJJWZEL3KUCUEVMEYNBNSV6GL \
  | 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: 64929b648bdaa82a12ac261a16cabe32cb536761cb03720208bceca43933a6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1682bc1a51ab1509207123b1e9e8e809e1d613d1b7758d8453229d17aaa4a317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-02T10:30:00Z",
    "title_canon_sha256": "63bbbbc84f2a921d838050a103c0150843d6589e7cb6f11e2ae60f8756900f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0728",
    "kind": "arxiv",
    "version": 2
  }
}