Pith Number

pith:2EYDSUW4

pith:2026:2EYDSUW4GDEWNDYQTYON36T4NC

not attested not anchored not stored refs pending

Ces\`aro convergence of the high-order WKB method and its applications to black-hole overtones and long-lived modes

Alexander Zhidenko, Jerzy Matyjasek, Roman A. Konoplya

arxiv:2605.25705 v1 · 2026-05-25 · 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{2EYDSUW4GDEWNDYQTYON36T4NC}

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	2026-05-26T02:04:51.422748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1303952dc30c9668f109e1cddfa7c68bae1b4091aa7a833150367c6fc1e2f73

Aliases

arxiv: 2605.25705 · arxiv_version: 2605.25705v1 · doi: 10.48550/arxiv.2605.25705 · pith_short_12: 2EYDSUW4GDEW · pith_short_16: 2EYDSUW4GDEWNDYQ · pith_short_8: 2EYDSUW4

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/2EYDSUW4GDEWNDYQTYON36T4NC \
  | 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: d1303952dc30c9668f109e1cddfa7c68bae1b4091aa7a833150367c6fc1e2f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ac85447dff3bc2a06ddd2d535b47b5a5d74c73097bddcd42b74e3985329ed7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-25T11:03:23Z",
    "title_canon_sha256": "d26a2014c587a5302fc6576251561fa8fab9b64460bb1063e1961e53b91ad7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25705",
    "kind": "arxiv",
    "version": 1
  }
}