Pith Number

pith:KA376A7M

pith:2015:KA376A7MC2SHL3XZVZ54QHP46O

not attested not anchored not stored refs pending

Existence of positive multi-bump solutions for a Schr\"odinger-Poisson system in $\mathbb{R}^{3}$

Claudianor O. Alves, Minbo Yang

arxiv:1501.02930 v1 · 2015-01-13 · 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{KA376A7MC2SHL3XZVZ54QHP46O}

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	2026-05-18T02:29:30.895306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5037ff03ec16a475eef9ae7bc81dfcf384fd7e62522d7d628864c6b1baba6405

Aliases

arxiv: 1501.02930 · arxiv_version: 1501.02930v1 · doi: 10.48550/arxiv.1501.02930 · pith_short_12: KA376A7MC2SH · pith_short_16: KA376A7MC2SHL3XZ · pith_short_8: KA376A7M

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/KA376A7MC2SHL3XZVZ54QHP46O \
  | 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: 5037ff03ec16a475eef9ae7bc81dfcf384fd7e62522d7d628864c6b1baba6405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8587d7f806b139e85a114da3c7c7713cd8a32cdf30e48276e3bd3d2df135e309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-13T09:42:41Z",
    "title_canon_sha256": "b0450ee67726324108709669a894e9fb7c2e377e9b0e17397baa30566462bd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02930",
    "kind": "arxiv",
    "version": 1
  }
}