Pith. sign in
Pith Number

pith:43J7PCSX

pith:2022:43J7PCSXCVLZIQ2HLZKC3C7CTC
not attested not anchored not stored refs pending

Black hole thermodynamics from logotropic fluids

Alessio Lapponi, Orlando Luongo, Rocco D'Agostino, Salvatore Capozziello

arxiv:2210.02431 v3 · 2022-10-05 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{43J7PCSXCVLZIQ2HLZKC3C7CTC}

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 2026-07-05T05:45:33.602551Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e6d3f78a5715579443475e542d8be298b13329d82d7f3a370ffb72bc37512d36

Aliases

arxiv: 2210.02431 · arxiv_version: 2210.02431v3 · doi: 10.48550/arxiv.2210.02431 · pith_short_12: 43J7PCSXCVLZ · pith_short_16: 43J7PCSXCVLZIQ2H · pith_short_8: 43J7PCSX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/43J7PCSXCVLZIQ2HLZKC3C7CTC \
  | 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: e6d3f78a5715579443475e542d8be298b13329d82d7f3a370ffb72bc37512d36
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e5cac914166dc422eecefbf2c9fdf959b508c72b69df894276b13f9b12705e3f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-10-05T17:51:55Z",
    "title_canon_sha256": "6a74f1121d46cee168e211cb030a0731e37a669f36b348acb616a361a0c91b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02431",
    "kind": "arxiv",
    "version": 3
  }
}