Pith Number

pith:5BNGA7IZ

pith:2024:5BNGA7IZ52YLMTDS5GVLMMKSWJ

not attested not anchored not stored refs pending

Stable massless scalar polarization of f(R) gravity

Peng-Cheng Li, Xin-Dong Du

arxiv:2409.19535 v2 · 2024-09-29 · 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{5BNGA7IZ52YLMTDS5GVLMMKSWJ}

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	2026-07-05T11:29:02.104789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85a607d19eeb0b64c72e9aab63152b275524b4026e4580d45fae42f8522fe38

Aliases

arxiv: 2409.19535 · arxiv_version: 2409.19535v2 · doi: 10.48550/arxiv.2409.19535 · pith_short_12: 5BNGA7IZ52YL · pith_short_16: 5BNGA7IZ52YLMTDS · pith_short_8: 5BNGA7IZ

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/5BNGA7IZ52YLMTDS5GVLMMKSWJ \
  | 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: e85a607d19eeb0b64c72e9aab63152b275524b4026e4580d45fae42f8522fe38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eeb6712778c0e28ab0623da529ce6ce97410a4612fad3481c9e8d92328c30fa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-09-29T03:35:30Z",
    "title_canon_sha256": "58c2fe2da3e5b4e014f0d0a3b4ac77f954ed7a668c0aec58643c54d03822b856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.19535",
    "kind": "arxiv",
    "version": 2
  }
}