Pith Number

pith:2ZMXJ62G

pith:2011:2ZMXJ62GHFIKHJJB4EEL427MQR

not attested not anchored not stored refs pending

The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology

K. Karami, M.M. Soltanzadeh, S. Ghaffari

arxiv:1101.3240 v1 · 2011-01-17 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZMXJ62GHFIKHJJB4EEL427MQR}

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	2026-05-18T04:31:30.263125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65974fb463950a3a521e108be6bec844315451eb8ad6d8762df90fc46611e7b

Aliases

arxiv: 1101.3240 · arxiv_version: 1101.3240v1 · doi: 10.48550/arxiv.1101.3240 · pith_short_12: 2ZMXJ62GHFIK · pith_short_16: 2ZMXJ62GHFIKHJJB · pith_short_8: 2ZMXJ62G

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/2ZMXJ62GHFIKHJJB4EEL427MQR \
  | 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: d65974fb463950a3a521e108be6bec844315451eb8ad6d8762df90fc46611e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349a4ed3aec3b96bcf94fe777fa7124cdd3152628547c8290761512bc5c485a8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-17T15:32:44Z",
    "title_canon_sha256": "3c103e76bb504802f69ac0df23237d22fe892d259d45e4ca0fe318bc06cfbd89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3240",
    "kind": "arxiv",
    "version": 1
  }
}