Pith Number

pith:RZ4TDKFO

pith:2007:RZ4TDKFOTCIMHDJ6KAHABAJUUK

not attested not anchored not stored refs pending

Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach

A. Stabile, A. Troisi, S. Capozziello

arxiv:gr-qc/0703067 v1 · 2007-03-12 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZ4TDKFOTCIMHDJ6KAHABAJUUK}

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

Black holes and their shadows in $F(R)$ gravity

Receipt and verification

First computed	2026-07-04T15:16:38.516332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7931a8ae9890c38d3e500e008134a2a00fbbfe051c7bf8fbe29adb024c02da

Aliases

arxiv: gr-qc/0703067 · arxiv_version: gr-qc/0703067v1 · doi: 10.48550/arxiv.gr-qc/0703067 · pith_short_12: RZ4TDKFOTCIM · pith_short_16: RZ4TDKFOTCIMHDJ6 · pith_short_8: RZ4TDKFO

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/RZ4TDKFOTCIMHDJ6KAHABAJUUK \
  | 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: 8e7931a8ae9890c38d3e500e008134a2a00fbbfe051c7bf8fbe29adb024c02da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667f4e9309287b0378ad705dac144a1e783bdf9e43e58bbfaf297ce8a83c8ff5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-03-12T08:26:36Z",
    "title_canon_sha256": "803f117db3d79b65b6959482c19b26c0f047e451c3f87bb533873081e28e8fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0703067",
    "kind": "arxiv",
    "version": 1
  }
}