Pith Number

pith:LRBVYR5G

pith:2026:LRBVYR5GR5WUPIB3QXNNOOWO4X

not attested not anchored not stored refs pending

Vector Perturbations in Ghost-Free Quasidilaton Massive Gravity

Daris Samart, Ekapob Kulchoakrungsun

arxiv:2608.13529 v1 · 2026-08-13 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRBVYR5GR5WUPIB3QXNNOOWO4X}

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	2026-08-14T01:24:58.318410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c435c47a68f6d47a03b85dad73acee5e3304854af3b548b8ea398bbd7ed6487

Aliases

arxiv: 2608.13529 · arxiv_version: 2608.13529v1 · doi: 10.48550/arxiv.2608.13529 · pith_short_12: LRBVYR5GR5WU · pith_short_16: LRBVYR5GR5WUPIB3 · pith_short_8: LRBVYR5G

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/LRBVYR5GR5WUPIB3QXNNOOWO4X \
  | 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: 5c435c47a68f6d47a03b85dad73acee5e3304854af3b548b8ea398bbd7ed6487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9557735d8d7f0102d7031e0b8e250f4f411acea5ce437effe4adc724712baf72",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-13T17:47:30Z",
    "title_canon_sha256": "8898b1e317ab3db57e53c4548727d7085158d5c14359a19f9f0491c8bd5ab0c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13529",
    "kind": "arxiv",
    "version": 1
  }
}