Pith Number

pith:S4TAANLE

pith:2026:S4TAANLEKE4GQFGG7PGKET27GA

not attested not anchored not stored refs pending

Gravitational Wave Propagation in K-essence Cosmology: Theory and Observational Constraints

Abhijit Bhattacharyya, Debashis Gangopadhyay, Eduardo Guendelman, Goutam Manna, Ram\'on Herrera, Sougata Bhunia

arxiv:2605.25466 v1 · 2026-05-25 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4TAANLEKE4GQFGG7PGKET27GA}

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	2026-05-26T02:04:37.414120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972600356451386814c6fbcca24f5f3016540400b8d1edc9352f643b62ae65bc

Aliases

arxiv: 2605.25466 · arxiv_version: 2605.25466v1 · doi: 10.48550/arxiv.2605.25466 · pith_short_12: S4TAANLEKE4G · pith_short_16: S4TAANLEKE4GQFGG · pith_short_8: S4TAANLE

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/S4TAANLEKE4GQFGG7PGKET27GA \
  | 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: 972600356451386814c6fbcca24f5f3016540400b8d1edc9352f643b62ae65bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868850bae5ec2c9b226903f9201dec3cd87a03986ca5f00f31c0e85bc7767bd2",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-25T06:17:33Z",
    "title_canon_sha256": "f373f99ab5a1b582cb208fddea5155f6fc9ca413f80ef9cc652a0dc23fe67e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25466",
    "kind": "arxiv",
    "version": 1
  }
}