Pith Number

pith:52OIKVPH

pith:2025:52OIKVPHSY6JCBHNCVHZQQOF6F

not attested not anchored not stored refs pending

Dynamical Dark Energy or Modified Gravity? Signatures in Gravitational Wave Propagation

Purnendu Karmakar, Sandeep Haridasu

arxiv:2509.07976 v1 · 2025-09-09 · 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{52OIKVPHSY6JCBHNCVHZQQOF6F}

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	2026-07-05T12:07:43.716397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9c8555e7963c9104ed154f9841c5f14efcd1ca09101ffaf45c87598b3da5de

Aliases

arxiv: 2509.07976 · arxiv_version: 2509.07976v1 · doi: 10.48550/arxiv.2509.07976 · pith_short_12: 52OIKVPHSY6J · pith_short_16: 52OIKVPHSY6JCBHN · pith_short_8: 52OIKVPH

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/52OIKVPHSY6JCBHNCVHZQQOF6F \
  | 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: ee9c8555e7963c9104ed154f9841c5f14efcd1ca09101ffaf45c87598b3da5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef62eec3d2be1c6e03b359bd4c7d8ac2ab2b8be21c928e5c49c4a23b3dcd7b2c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-09T17:57:33Z",
    "title_canon_sha256": "11952da5101460772757d8e5ffbc14d164f3c7cca8afc5f878982e7e0b1a3814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07976",
    "kind": "arxiv",
    "version": 1
  }
}