Pith Number

pith:OQTNNBOG

pith:2010:OQTNNBOGDKZLI4GH3JW5GEYUEE

not attested not anchored not stored refs pending

The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories

Nairwita Mazumder, Subenoy Chakraborty

arxiv:1005.5215 v1 · 2010-05-28 · 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{OQTNNBOGDKZLI4GH3JW5GEYUEE}

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	2026-05-18T02:07:06.996379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752

Aliases

arxiv: 1005.5215 · arxiv_version: 1005.5215v1 · doi: 10.48550/arxiv.1005.5215 · pith_short_12: OQTNNBOGDKZL · pith_short_16: OQTNNBOGDKZLI4GH · pith_short_8: OQTNNBOG

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/OQTNNBOGDKZLI4GH3JW5GEYUEE \
  | 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: 7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20bec6ab3f6c807de7a85ea2cae9258b82282b6066eeddab8194c128d57a4bbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-28T04:46:08Z",
    "title_canon_sha256": "40e312286637800fae917e4ce651c206646ac1c52ac1318d780ab37b83f0d499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5215",
    "kind": "arxiv",
    "version": 1
  }
}