Pith Number

pith:QIS6B5U2

pith:2013:QIS6B5U2O7HAOHSZLXTMRLXZGV

not attested not anchored not stored refs pending

Existence of least energy nodal solution for a Schr\"odinger-Poisson system in bounded domains

Claudianor O. Alves, Marco A.S. Souto

arxiv:1304.4551 v2 · 2013-04-16 · 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{QIS6B5U2O7HAOHSZLXTMRLXZGV}

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	2026-05-18T03:06:32.637088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8225e0f69a77ce071e595de6c8aef93546b04387226968b2d1b727c470ac478b

Aliases

arxiv: 1304.4551 · arxiv_version: 1304.4551v2 · doi: 10.48550/arxiv.1304.4551 · pith_short_12: QIS6B5U2O7HA · pith_short_16: QIS6B5U2O7HAOHSZ · pith_short_8: QIS6B5U2

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/QIS6B5U2O7HAOHSZLXTMRLXZGV \
  | 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: 8225e0f69a77ce071e595de6c8aef93546b04387226968b2d1b727c470ac478b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af98f2f6098b2a068e3d23b21d79d10464432e9a16c22046badfb1af5b03aab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-16T19:00:03Z",
    "title_canon_sha256": "07788400fe5f973280a2db3b29fc259d3d18cc3e509adec7128165d22b0414ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4551",
    "kind": "arxiv",
    "version": 2
  }
}