Pith Number

pith:W5XQEO7Z

pith:2007:W5XQEO7ZFTAG6JMIT2KB5TTZTG

not attested not anchored not stored refs pending

Spherical symmetry in $f(R)$-gravity

A. Stabile, A. Troisi, S. Capozziello

arxiv:0709.0891 v2 · 2007-09-06 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5XQEO7ZFTAG6JMIT2KB5TTZTG}

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.

Cited by

1 paper in Pith

Propagating degrees of freedom on maximally-symmetric backgrounds in $f(R)$ theories of gravity

Receipt and verification

First computed	2026-07-04T15:28:33.018539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76f023bf92cc06f25889e941ece799988ba6f54880ed54da7b0919b7a7d91a9

Aliases

arxiv: 0709.0891 · arxiv_version: 0709.0891v2 · doi: 10.48550/arxiv.0709.0891 · pith_short_12: W5XQEO7ZFTAG · pith_short_16: W5XQEO7ZFTAG6JMI · pith_short_8: W5XQEO7Z

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/W5XQEO7ZFTAG6JMIT2KB5TTZTG \
  | 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: b76f023bf92cc06f25889e941ece799988ba6f54880ed54da7b0919b7a7d91a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17951cb9d0556e289744eda4aa1b4a4dfb13d8ee2a5fe15fcf67b1a281c118b",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-09-06T15:34:13Z",
    "title_canon_sha256": "b1dc7e1ff9cdd09a6e126e7eaa0f06d3d6bf58891808488b0648d00b822b4bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0891",
    "kind": "arxiv",
    "version": 2
  }
}