Pith Number

pith:JOARYNG7

pith:2024:JOARYNG7HQHDT6ZKZJ32K4ZL7I

not attested not anchored not stored refs pending

Thermodynamics of charged Lifshitz black holes with scalar hair

De-Cheng Zou, Kai-Qiang Qian, Ming Zhang, Rui-Hong Yue, Shan Wu

arxiv:2404.19423 v2 · 2024-04-30 · 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{JOARYNG7HQHDT6ZKZJ32K4ZL7I}

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	2026-07-05T08:14:06.825588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b811c34df3c0e39fb2aca77a5732bfa3bb2c9fc540cee3b1e69632bc733df1d

Aliases

arxiv: 2404.19423 · arxiv_version: 2404.19423v2 · doi: 10.48550/arxiv.2404.19423 · pith_short_12: JOARYNG7HQHD · pith_short_16: JOARYNG7HQHDT6ZK · pith_short_8: JOARYNG7

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/JOARYNG7HQHDT6ZKZJ32K4ZL7I \
  | 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: 4b811c34df3c0e39fb2aca77a5732bfa3bb2c9fc540cee3b1e69632bc733df1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d38edade13910563e6270e12f88b71f42a66b8f244e74fceb9119586c270e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-30T10:13:01Z",
    "title_canon_sha256": "63101908e7703b982f8182d97bef68a69b5b364cb830405465b65a6a0304875c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.19423",
    "kind": "arxiv",
    "version": 2
  }
}