Pith Number

pith:GI6Q7HTJ

pith:2010:GI6Q7HTJEVT43V67UAWUVH3K7I

not attested not anchored not stored refs pending

Validity of the Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon in Brane Scenario

Nairwita Mazumder, Subenoy Chakraborty

arxiv:1005.4988 v2 · 2010-05-27 · 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{GI6Q7HTJEVT43V67UAWUVH3K7I}

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	2026-05-18T04:29:53.728942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323d0f9e692567cdd7dfa02d4a9f6afa0251a84f3137ae412c7a687b0f483761

Aliases

arxiv: 1005.4988 · arxiv_version: 1005.4988v2 · doi: 10.48550/arxiv.1005.4988 · pith_short_12: GI6Q7HTJEVT4 · pith_short_16: GI6Q7HTJEVT43V67 · pith_short_8: GI6Q7HTJ

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/GI6Q7HTJEVT43V67UAWUVH3K7I \
  | 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: 323d0f9e692567cdd7dfa02d4a9f6afa0251a84f3137ae412c7a687b0f483761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865b28389e66e525eae515e5dff021a5143c9fa9bef431b2672bbf2ec3c05d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-27T05:57:21Z",
    "title_canon_sha256": "c032989cd7778141a18b7446ff1ab493eee45e30f0929a92ae464575337ba3db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4988",
    "kind": "arxiv",
    "version": 2
  }
}