Pith Number

pith:WZXUCKAO

pith:2009:WZXUCKAOOSDAPUAQXMF3MQCFHV

not attested not anchored not stored refs pending

On the Schrodinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases

David Ruiz

arxiv:0904.2924 v1 · 2009-04-19 · 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{WZXUCKAOOSDAPUAQXMF3MQCFHV}

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	2026-05-18T02:13:59.036746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66f41280e748607d010bb0bb640453d40a96615524aca3b0929d0823a2b26d5

Aliases

arxiv: 0904.2924 · arxiv_version: 0904.2924v1 · doi: 10.48550/arxiv.0904.2924 · pith_short_12: WZXUCKAOOSDA · pith_short_16: WZXUCKAOOSDAPUAQ · pith_short_8: WZXUCKAO

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/WZXUCKAOOSDAPUAQXMF3MQCFHV \
  | 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: b66f41280e748607d010bb0bb640453d40a96615524aca3b0929d0823a2b26d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b5ae583e1ac3c42acf233f587a0532e60179f0ea2f700a4542f9d6e9910eb14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-19T17:31:41Z",
    "title_canon_sha256": "717be825c3170a4cdbdeb66a0250ef7c8e8eb6fa9d1f2df8b006b178c4832531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2924",
    "kind": "arxiv",
    "version": 1
  }
}