Pith Number

pith:IFBGVYFN

pith:2011:IFBGVYFNRD3QEH4TUPG2Q5JB2L

not attested not anchored not stored refs pending

Scalar-tensor representation of $f(R)$ gravity and Birkhoff's theorem

Diego S\'aez-G\'omez, Salvatore Capozziello

arxiv:1107.0948 v3 · 2011-07-05 · gr-qc · 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{IFBGVYFNRD3QEH4TUPG2Q5JB2L}

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	2026-05-18T02:01:24.550018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41426ae0ad88f7021f93a3cda87521d2c3647b5007828f9e43df2f6f0d4cb3c1

Aliases

arxiv: 1107.0948 · arxiv_version: 1107.0948v3 · doi: 10.48550/arxiv.1107.0948 · pith_short_12: IFBGVYFNRD3Q · pith_short_16: IFBGVYFNRD3QEH4T · pith_short_8: IFBGVYFN

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/IFBGVYFNRD3QEH4TUPG2Q5JB2L \
  | 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: 41426ae0ad88f7021f93a3cda87521d2c3647b5007828f9e43df2f6f0d4cb3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23acca8a659b0eb352ea5d738cfd85b5e11c4156ad891e807470d6cf93c7d82d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-05T19:03:37Z",
    "title_canon_sha256": "10ee06a61527b96a9937c27597fcf246eeacc26bf94b779b3faba048813c679f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0948",
    "kind": "arxiv",
    "version": 3
  }
}