Pith Number

pith:QIXHNVQE

pith:2026:QIXHNVQEUOZO2X44I3KGKQJS5J

not attested not anchored not stored refs pending

Ambiguity in matter sector for modified gravity involving $\delta^2 \mathcal{L}_{m}/\delta g^{\mu\nu}\delta g^{\alpha\beta}$ and its implications to astrophysics and cosmology

A. Sulaksono, B. N. Jayawiguna

arxiv:2608.04867 v1 · 2026-08-05 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIXHNVQEUOZO2X44I3KGKQJS5J}

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	2026-08-06T01:47:25.668859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822e76d604a3b2ed5f9c46d4654132ea7876d1c06439eb12347f056dd1f7fa51

Aliases

arxiv: 2608.04867 · arxiv_version: 2608.04867v1 · doi: 10.48550/arxiv.2608.04867 · pith_short_12: QIXHNVQEUOZO · pith_short_16: QIXHNVQEUOZO2X44 · pith_short_8: QIXHNVQE

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/QIXHNVQEUOZO2X44I3KGKQJS5J \
  | 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: 822e76d604a3b2ed5f9c46d4654132ea7876d1c06439eb12347f056dd1f7fa51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "023b6a6eb5ec105db022c760fe8e5d198619c26c42a2953cdb79e4cdf7ce0123",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-05T13:59:14Z",
    "title_canon_sha256": "0ccda8fa2eb76034977ba1a4170d96515f00350b392979593aba666dafeab54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04867",
    "kind": "arxiv",
    "version": 1
  }
}