Pith Number

pith:4EDMYBS2

pith:2025:4EDMYBS24KTVPSID5V2MZZYIAO

not attested not anchored not stored refs pending

Revisited apparent horizon entropy and GSL in modified gravity

Kayoomars Karami, Parastoo Askari, Soma Heydari

arxiv:2512.17861 v2 · 2025-12-19 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EDMYBS24KTVPSID5V2MZZYIAO}

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	2026-06-09T02:07:15.781656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e106cc065ae2a757c903ed74cce70803b6aefaea7f1b93a0bfa9090b78327422

Aliases

arxiv: 2512.17861 · arxiv_version: 2512.17861v2 · doi: 10.48550/arxiv.2512.17861 · pith_short_12: 4EDMYBS24KTV · pith_short_16: 4EDMYBS24KTVPSID · pith_short_8: 4EDMYBS2

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/4EDMYBS24KTVPSID5V2MZZYIAO \
  | 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: e106cc065ae2a757c903ed74cce70803b6aefaea7f1b93a0bfa9090b78327422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7da232e6567a144dbd3fb0aae53405c9b576d96350e1104aaed0e422a01d71",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-19T18:09:21Z",
    "title_canon_sha256": "60b17681a133da6d147e607ee550427905f3e2ddc489ff211a57e2ef1a198387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17861",
    "kind": "arxiv",
    "version": 2
  }
}