Pith Number

pith:T7Y5ZGZD

pith:2021:T7Y5ZGZDF4SGRCZVELNPCOM4RQ

not attested not anchored not stored refs pending

Clausius Equation for Horizons in $F(R)$ Gravity

Bohuslav Matou\v{s}

arxiv:2111.14753 v3 · 2021-11-25 · 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{T7Y5ZGZDF4SGRCZVELNPCOM4RQ}

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

Is The Internal Entropy of F(R)-Gravity Really An Entropy?

Receipt and verification

First computed	2026-07-05T05:42:22.350132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ff1dc9b232f24688b3522daf1399c8c00be5af5227c1d720bac9d50dcafe5a4

Aliases

arxiv: 2111.14753 · arxiv_version: 2111.14753v3 · doi: 10.48550/arxiv.2111.14753 · pith_short_12: T7Y5ZGZDF4SG · pith_short_16: T7Y5ZGZDF4SGRCZV · pith_short_8: T7Y5ZGZD

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/T7Y5ZGZDF4SGRCZVELNPCOM4RQ \
  | 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: 9ff1dc9b232f24688b3522daf1399c8c00be5af5227c1d720bac9d50dcafe5a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64dd172dc792274b13e5442fa1711b80e70538f742642d7f5d3ac1b5b321a202",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-25T19:51:47Z",
    "title_canon_sha256": "3e6ba8893277c3244977d2483e6b69721f67210743a84e6b50c8cd5922630849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14753",
    "kind": "arxiv",
    "version": 3
  }
}