Pith Number

pith:WUWLWMKJ

pith:2015:WUWLWMKJZ3VQEY2PTDXMVSFIOO

not attested not anchored not stored refs pending

Ground-states for systems of $M$ coupled semilinear Schr\"odinger equations with attraction-repulsion effects: characterization and perturbation results

Sim\~ao Correia

arxiv:1506.07758 v3 · 2015-06-25 · 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{WUWLWMKJZ3VQEY2PTDXMVSFIOO}

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	2026-05-18T01:24:43.677574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52cbb3149ceeb02634f98eecac8a873a90eba697cb2d622859fc97b1cfb6881

Aliases

arxiv: 1506.07758 · arxiv_version: 1506.07758v3 · doi: 10.48550/arxiv.1506.07758 · pith_short_12: WUWLWMKJZ3VQ · pith_short_16: WUWLWMKJZ3VQEY2P · pith_short_8: WUWLWMKJ

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/WUWLWMKJZ3VQEY2PTDXMVSFIOO \
  | 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: b52cbb3149ceeb02634f98eecac8a873a90eba697cb2d622859fc97b1cfb6881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071947d6998f9788dca990a8da46c403652858e698dfb2951aba8b6b7dc45b7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-25T14:07:01Z",
    "title_canon_sha256": "282164cd1bd047060c4e15b3a7321edf72f391fb8cb37e4356d1a859bc66a0e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07758",
    "kind": "arxiv",
    "version": 3
  }
}