Pith. sign in
Pith Number

pith:QISEAFNH

pith:2024:QISEAFNHQXRZ35YYQTCKMOVXCO
not attested not anchored not stored refs pending

Friedmann equations of the fractal apparent horizon

A. Sayahian Jahromi, H. Moradpour, R. Jalalzadeh, S. Jalalzadeh

arxiv:2404.06986 v1 · 2024-04-10 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QISEAFNHQXRZ35YYQTCKMOVXCO}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T08:06:33.603562Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82244015a785e39df71884c4a63ab713acc41295110d008705071cfd5446ccaf

Aliases

arxiv: 2404.06986 · arxiv_version: 2404.06986v1 · doi: 10.48550/arxiv.2404.06986 · pith_short_12: QISEAFNHQXRZ · pith_short_16: QISEAFNHQXRZ35YY · pith_short_8: QISEAFNH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QISEAFNHQXRZ35YYQTCKMOVXCO \
  | 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: 82244015a785e39df71884c4a63ab713acc41295110d008705071cfd5446ccaf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "30f9aef8d2efe09b469fa3a37d429df72b59f6c0e91bcd8e5972ee5c4ac74536",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-10T13:01:52Z",
    "title_canon_sha256": "8a70bb6fd68ef715ad4fc5f677ca21fcf62f066f55c486735fa2321a565d802e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06986",
    "kind": "arxiv",
    "version": 1
  }
}