Pith Number

pith:DSD5BKJH

pith:2012:DSD5BKJHC2ECDXKHEGURY4QG5L

not attested not anchored not stored refs pending

The generalized second law of thermodynamics in f(R) gravity for various choices of scale factor

Rahul Ghosh (Bhairab Ganguly College), Surajit Chattopadhyay (Pailan College of Management, Technology)

arxiv:1208.2628 v1 · 2012-08-05 · physics.gen-ph · 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{DSD5BKJHC2ECDXKHEGURY4QG5L}

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	2026-05-18T03:39:43.360210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c87d0a927168821dd4721a91c7206eaf52727440b1ea622ebf262e21031f85a

Aliases

arxiv: 1208.2628 · arxiv_version: 1208.2628v1 · doi: 10.48550/arxiv.1208.2628 · pith_short_12: DSD5BKJHC2EC · pith_short_16: DSD5BKJHC2ECDXKH · pith_short_8: DSD5BKJH

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/DSD5BKJHC2ECDXKHEGURY4QG5L \
  | 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: 1c87d0a927168821dd4721a91c7206eaf52727440b1ea622ebf262e21031f85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "604d98054c0485854f885fd52349563bff964459678c9ea47593217eb7280a42",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-08-05T15:54:41Z",
    "title_canon_sha256": "cada896db79789d0613eae89372c60f9b21d8773959d50239f364b3e89d2ad12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2628",
    "kind": "arxiv",
    "version": 1
  }
}