Pith Number

pith:VZL2Z73X

pith:2026:VZL2Z73XQC7NUU2URYZ2LK35RJ

not attested not anchored not stored refs pending

The continuum spectrum of nonrelativistic multi-frequency Proca stars

Alberto Diez-Tejedor, Armando A. Roque, Galo Diaz-Andrade, Jose Luis Medina-Garcia

arxiv:2603.05602 v2 · 2026-03-05 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZL2Z73XQC7NUU2URYZ2LK35RJ}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-06-29T01:14:29.679867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae57acff7780beda53548e33a5ab7d8a572759aa57ccc3914f1f2838af27eb2c

Aliases

arxiv: 2603.05602 · arxiv_version: 2603.05602v2 · doi: 10.48550/arxiv.2603.05602 · pith_short_12: VZL2Z73XQC7N · pith_short_16: VZL2Z73XQC7NUU2U · pith_short_8: VZL2Z73X

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/VZL2Z73XQC7NUU2URYZ2LK35RJ \
  | 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: ae57acff7780beda53548e33a5ab7d8a572759aa57ccc3914f1f2838af27eb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25f24ec32348f729dc3237acd1c5ec66bfe61fb81254da9275a6372230fe30d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-05T19:01:37Z",
    "title_canon_sha256": "d50a701a2f0bfa49e5d0bbd5d1ee7025d3c002d75a8fcf5d278905b277fc2a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.05602",
    "kind": "arxiv",
    "version": 2
  }
}