Pith Number

pith:TKU3OFKE

pith:2024:TKU3OFKEWWBYUNT7N24H5LTUVJ

not attested not anchored not stored refs pending

Weyl formulae for some singular metrics with application to acoustic modes in gas giants

CaGE), Charlotte Dietze (LMU), Emmanuel Tr\'elat (LJLL (UMR\_7598), Maarten V. de Hoop, Yves Colin de Verd\`i\`ere (IF)

arxiv:2406.19734 v2 · 2024-06-28 · math.AP · astro-ph.EP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKU3OFKEWWBYUNT7N24H5LTUVJ}

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

2 papers in Pith

Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent

Boundary observability for gas giant metrics

Receipt and verification

First computed	2026-06-23T03:13:43.525586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa9b71544b5838a367f6eb87eae74aa6ae15301286e82968d8891eb050a87a6

Aliases

arxiv: 2406.19734 · arxiv_version: 2406.19734v2 · doi: 10.48550/arxiv.2406.19734 · pith_short_12: TKU3OFKEWWBY · pith_short_16: TKU3OFKEWWBYUNT7 · pith_short_8: TKU3OFKE

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/TKU3OFKEWWBYUNT7N24H5LTUVJ \
  | 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: 9aa9b71544b5838a367f6eb87eae74aa6ae15301286e82968d8891eb050a87a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692e2fef4cdfe932ba00d411ea631183916ae02be7513711ee35dc6feab43424",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-28T08:23:42Z",
    "title_canon_sha256": "6d9b1b97ec19ffeeb80d236488264ce136a6993eae070de3fe920c37ac5b3ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.19734",
    "kind": "arxiv",
    "version": 2
  }
}