Pith Number

pith:IP45U3O6

pith:2016:IP45U3O6356FDC7XEBARXVW2QY

not attested not anchored not stored refs pending

First and Second Laws of Thermodynamics in Modified Ho\v{r}ava-Lifshitz $F(R)$ Gravity

Abdul Jawad, Davood Momeni, Faiza Gulshan, Ratbay Myrzakulov, Shamaila Rani

arxiv:1602.06252 v1 · 2016-02-16 · 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{IP45U3O6356FDC7XEBARXVW2QY}

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	2026-05-18T01:20:18.290458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f9da6ddedf7c518bf720411bd6da862c385d87eb075ed7147dc2895b9b5693

Aliases

arxiv: 1602.06252 · arxiv_version: 1602.06252v1 · doi: 10.48550/arxiv.1602.06252 · pith_short_12: IP45U3O6356F · pith_short_16: IP45U3O6356FDC7X · pith_short_8: IP45U3O6

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/IP45U3O6356FDC7XEBARXVW2QY \
  | 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: 43f9da6ddedf7c518bf720411bd6da862c385d87eb075ed7147dc2895b9b5693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01dd5d11b4d5488ed2d20f1b9305689ceb4af582433195d08d0d96376620bf51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-16T12:01:07Z",
    "title_canon_sha256": "58416cc070877a3b31dc416266ea009db867003f33b1648e052d4a077bbd230a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06252",
    "kind": "arxiv",
    "version": 1
  }
}