Pith Number

pith:GJKQUTOQ

pith:2025:GJKQUTOQWCRDX3UNIPWOC2RF3M

not attested not anchored not stored refs pending

Echoes of bimodal axial gravitational perturbations in a uniform-density star in Einstein-{\AE}ther gravity

Alan B. Pavan, Amilcar Rabelo de Queiroz, Elcio Abdalla, Kai Lin, Wei-Liang Qian

arxiv:2507.21321 v2 · 2025-07-28 · 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{GJKQUTOQWCRDX3UNIPWOC2RF3M}

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	2026-07-05T11:45:38.794864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32550a4dd0b0a23bee8d43ece16a25db0b9174437ba286323598e69d622b262c

Aliases

arxiv: 2507.21321 · arxiv_version: 2507.21321v2 · doi: 10.48550/arxiv.2507.21321 · pith_short_12: GJKQUTOQWCRD · pith_short_16: GJKQUTOQWCRDX3UN · pith_short_8: GJKQUTOQ

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/GJKQUTOQWCRDX3UNIPWOC2RF3M \
  | 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: 32550a4dd0b0a23bee8d43ece16a25db0b9174437ba286323598e69d622b262c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64830abc628dee8169696d83744b6c5dfbf40fb6148ef2f36b432d2c699409c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-28T20:32:29Z",
    "title_canon_sha256": "07e08eb211b6b3a3564e42161d49f54833dc0d861743ee9564799d88653e333b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21321",
    "kind": "arxiv",
    "version": 2
  }
}