Pith Number

pith:E5D3YFE5

pith:2019:E5D3YFE5KSK3AZEEBQG5LEYMSK

not attested not anchored not stored refs pending

Gravitational atoms: general framework for the construction of multistate axially symmetric solutions of the Schr\"odinger-Poisson system

F. S. Guzm\'an, L. Arturo Ure\~na-L\'opez

arxiv:1912.10585 v3 · 2019-12-23 · astro-ph.GA · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5D3YFE5KSK3AZEEBQG5LEYMSK}

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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.

Cited by

1 paper in Pith

Existence of nonrelativistic $\ell$- and multi-$\ell$-boson stars and their radial stability

Receipt and verification

First computed	2026-07-05T00:57:14.769708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2747bc149d5495b064840c0dd5930c92904517c58b1410f2ffe9ad100270cf38

Aliases

arxiv: 1912.10585 · arxiv_version: 1912.10585v3 · doi: 10.48550/arxiv.1912.10585 · pith_short_12: E5D3YFE5KSK3 · pith_short_16: E5D3YFE5KSK3AZEE · pith_short_8: E5D3YFE5

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/E5D3YFE5KSK3AZEEBQG5LEYMSK \
  | 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: 2747bc149d5495b064840c0dd5930c92904517c58b1410f2ffe9ad100270cf38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "320c28216325f2f873fccf7d16ed8446266d39c11dfa15234321893a5323b894",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-12-23T02:12:10Z",
    "title_canon_sha256": "0eb20bdab781fccfac8a154a37d71d156f6bab7be2a28ac0e53aee36e5b06a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10585",
    "kind": "arxiv",
    "version": 3
  }
}