Pith Number

pith:BMVCKG4Z

pith:2015:BMVCKG4Z2UFFC27KQ36ELWBP6A

not attested not anchored not stored refs pending

$f(R)$-gravity from Killing Tensors

Andronikos Paliathanasis

arxiv:1512.03239 v2 · 2015-12-10 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMVCKG4Z2UFFC27KQ36ELWBP6A}

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	2026-05-18T01:18:39.192304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b2a251b99d50a516bea86fc45d82ff0071c62c86dfbd007e5839804d6a8f03f

Aliases

arxiv: 1512.03239 · arxiv_version: 1512.03239v2 · doi: 10.48550/arxiv.1512.03239 · pith_short_12: BMVCKG4Z2UFF · pith_short_16: BMVCKG4Z2UFFC27K · pith_short_8: BMVCKG4Z

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/BMVCKG4Z2UFFC27KQ36ELWBP6A \
  | 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: 0b2a251b99d50a516bea86fc45d82ff0071c62c86dfbd007e5839804d6a8f03f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f42171ff4d606ddcb92666443522444ea082d064173595de06c139c7a149e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-10T12:59:56Z",
    "title_canon_sha256": "44a84350ead3ac4cedecdbbadb8eb1d438b23a594b92bbaa58bc8b6eed0a930a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03239",
    "kind": "arxiv",
    "version": 2
  }
}