Pith Number

pith:FKVP4LZB

pith:2013:FKVP4LZBWEWYVIHOWFADMTT2HS

not attested not anchored not stored refs pending

Jebsen-Birkhoff theorem and its stability in f(R) gravity

Anne Marie Nzioki, Peter K. S. Dunsby, Rituparno Goswami

arxiv:1312.6790 v1 · 2013-12-24 · gr-qc · astro-ph.SR · 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{FKVP4LZBWEWYVIHOWFADMTT2HS}

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	2026-05-18T01:45:42.069621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b

Aliases

arxiv: 1312.6790 · arxiv_version: 1312.6790v1 · doi: 10.48550/arxiv.1312.6790 · pith_short_12: FKVP4LZBWEWY · pith_short_16: FKVP4LZBWEWYVIHO · pith_short_8: FKVP4LZB

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/FKVP4LZBWEWYVIHOWFADMTT2HS \
  | 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: 2aaafe2f21b12d8aa0eeb140364e7a3cab2c401978fe4b67993e95287e0f825b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4aee69bed585f0f7cbd6131ef3657822836c206d505a0e053d20340b0a0172",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-24T10:42:40Z",
    "title_canon_sha256": "8d41aa2852a9ee42de0f3100ed14b3e1a48b46d23b39fe0d73c74983e78b5e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6790",
    "kind": "arxiv",
    "version": 1
  }
}