Pith Number

pith:FOA7WHGZ

pith:2013:FOA7WHGZ5SQURNCDNZVOHD5ECM

not attested not anchored not stored refs pending

Remarks about the correspondence between $f(R)$ and Brans-Dicke gravity

J. P. Morais Gra\c{c}a, Valdir B. Bezerra

arxiv:1312.1659 v3 · 2013-12-05 · 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{FOA7WHGZ5SQURNCDNZVOHD5ECM}

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	2026-05-18T01:19:44.912851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b81fb1cd9eca148b4436e6ae38fa4131caba0a99e9d8df8d4b047031df1a736

Aliases

arxiv: 1312.1659 · arxiv_version: 1312.1659v3 · doi: 10.48550/arxiv.1312.1659 · pith_short_12: FOA7WHGZ5SQU · pith_short_16: FOA7WHGZ5SQURNCD · pith_short_8: FOA7WHGZ

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/FOA7WHGZ5SQURNCDNZVOHD5ECM \
  | 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: 2b81fb1cd9eca148b4436e6ae38fa4131caba0a99e9d8df8d4b047031df1a736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1e185c4416fd1359d09ee5501da044854df58a92b282bf341717ce2cb4d011",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-05T19:55:49Z",
    "title_canon_sha256": "d2d65d9c2ca4e6718c9d18c50c0c33bcc6111b02950f07904cfbcce4c5eea66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1659",
    "kind": "arxiv",
    "version": 3
  }
}